Category: ICSE

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 9 Direct and Inverse Variation Objective Type Questions

Mental Maths
Question 1.
Fill in the blanks:
(i) Two quantities are said to be in direct variation if the increase (or decrease) in one quantity causes in ………….. other quantity.
(ii) Two quantities X and Y are said to be in inverse variation if XY is …………..
(iii) The total cost of articles varies ………….. to the number of articles purchased.
(iv) More work is done in ………….. time.
(v) The time taken to finish work varies ………….. to the number of men at work.
(vi) The speed of a moving object varies inversely to the ………….. to cover a certain distance.
(vii) The number of articles varies ………….. with the cost per article if a fixed amount is available.
(viii)Remuneration is in ………….. of work done.
Solution:

Question 2.
State whether the following statements are true (T) or false (F):
(i) Two quantities x andy are said to be in inverse variation if \(\frac{x}{y}\) is constant.
(ii) Number of days needed to complete the work = \(\frac{1}{\text { one day’s work }}\)
(iii) Two quantities x andy are said to be in direct variation if x = ky, where k is constant of variation.
(iv) The work done varies inversely to the number of men at work.
(v) In the given time, the distance covered by a moving object varies directly to its speed.
(vi) If A can complete a work in n days, then A’s one day’s work is \(\frac{1}{n}\) of the work, n
(vii) More the money deposited in a bank, more is the interest earned.
(viii) If the number of articles purchased increases the total cost decreases.
(ix) At the same time length of shadow is in direct variation with length of the object.
(x) The distance covered varies inversely to the consumption of petrol.
Solution:

Multiple Choice Questions
Choose the correct answer from the given four options (3 to 13):
Question 3.
Two quantities x and y are said to be in inverse variation if
(a) xy = k
(b) x ∝ \(\frac{1}{y}\)
(c) x = \(\frac{k}{y}\)
(d) all of these
Solution:

Question 4.
If 12-metre wire costs ₹24, then the cost of 8-metre wire is
(a) ₹16
(b) ₹20
(c) ₹12
(d) ₹18
Solution:

Question 5.
If 5 kg wheat cost ₹60, then cost of 20 kg wheat is
(a) ₹200
(b) ₹210
(c) ₹220
(d) ₹240
Solution:

Question 6.
If 10-men can complete a work in 6 days, then 30 men can complete the same work in
(a) 2 days
(b) 3 days
(c) 4 days
(d) 5 days
Solution:

Question 7.
A car travels 80 km in 5 litres of petrol, then the distance covered by it in 15 litres of petrol is
(a) 400 km
(b) 240 km
(c) 200 km
(d) 100 km
Solution:

Question 8.
In a mess, there was enough food for 200 students for 20 days. If 50 new students joined them, then the food will last for
(a) 15 days
(b) 16 days
(c) 17 days
(d) 18 days
Solution:

Question 9.
3 persons can paint a house in 8 days, then 4 persons can paint the same house in
(a) 5 days
(b) 6 days
(c) 7 days
(d) none of these
Solution:

Question 10.
A photograph of bacteria is enlarged 100000 times attains a length of 5 cm, then actual length of the bacteria is
(a) 0.00005 cm
(b) 5 × 10^-5
(c) 5 × 10^-7
(d) all of these
Solution:

Question 11.
A tree 12 metre high casts a shadow of length 8 metre. Height of the tree whose shadow is 6 metre in length is
(a) 6 m
(b) 9 m
(c) 15 m
(d) none of these
Solution:

Question 12.
If 5 pipes can fill the tank in 1 hour, then 4 pipes will fill the tank in
(a) 75 minutes
(b) 70 minutes
(c) 65 minutes
(d) none of these
Solution:

Question 13.
A tap fills a tank in 8 hours and another tap at the bottom empties it in 10 hours. If both work together, the tank will be filled in
(a) 18 hours
(b) 24 hours
(c) 36 hours
(d) 40 hours
Solution:

Value-Based Questions
Question 1.
The cost of fuel for running a train is proportional to the speed generated in km/h. It costs ₹40 per hour when train is moving with 20 km/h. What would be the cost of fuel per hour, if the train is moving with 60 km/h?
Keeping the safety and fuel prices in mind, state the values promoted in the question.
Solution:

Question 2.
A pipe can fill a tank in 9 hours. There is a leakage in the bottom of the tank due to which tank is filled in 12 hours. If the tank is full, how much time will leakage take to empty the tank? Should we repair the leakage tank? Should we repair the leakage of the tank immediately? What values are being promoted?
Solution:

Higher Order Thinking Skills (Hots)
Question 1.
If 8 labourers can earn ₹9000 in 15 days, how many labourers can earn ₹6300 in 7 days?
Solution:

Question 2.
Three typists working 8 hours a day type a document in 10 days. If only 2 typists are working, how many hours a day should they work to finish the job in 12 days?
Solution:

ML Aggarwal Class 8 Solutions for ICSE Maths

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 9 Direct and Inverse Variation Ex 9.3

Question 1.
A farmer can reap a field in 10 days while his wife can do it in 8 days (she does not waste time in smoking). If they work together, in how much time can they reap the field?
Solution:

Question 2.
A can-do \(\frac{1}{5}\)th of a certain work in 2 days and B can do \(\frac{2}{3}\)rd of it in 8 days. In how much time can they together complete the work?
Solution:

Question 3.
One tap fills a tank in 20 minutes and another tap fills it in 12 minutes. The tank being empty and if both taps are opened together, in how many minutes the tank will be full?
Solution:

Question 4.
A can do a work in 6 days and B can do it in 8 days. They worked together for 2 days and then B left the work. How many days will A require to finish the work?
Solution:

Question 5.
A can do a piece of work in 40 days. He works at it for 8 days and then B finishes the remaining work in 16 days. How long will they take to complete the work if they do it together?
Solution:

Question 6.
A and B separately do a work in 10 and 15 Solution: days respectively. They worked together for some days and then A completed the remaining work in 5 days. For how many days had A and B worked together?
Solution:

Question 7.
If 3 women or 5 girls take 17 days to complete a piece of work, how long will 7 women and 11 girls working together take to complete the work?
Solution:

Question 8.
A can do a job in 10 days while B can do it in 15 days. If they work together and earn ₹3500, how should they share the money?
Solution:

Question 9.
A, B and C can separately do a work in 2, 6 and 3 days respectively. Working together, how much time would they require to do it? If the work earns them ₹1960, how should they divide the money?
Solution:

Question 10.
A, B and C together can do a piece of work in 15 days, B alone can do it in 30 days and C alone can do it in 40 days. In how many days will A alone do the work?
Solution:

Question 11.
A, B and C working together can plough a field in \(4 \frac{4}{5}\) days. A and C together can do it in 8 days. How long would B working alone take to plough the field?
Solution:

Question 12.
A and B together can build a wall in 10 days; B and C working together can do it in 15 days; C and A together can do it in 12 days. How long will they take to finish the work, working altogether? Also find the number of days taken by each to do the ^ame work, working alone.
Solution:

Question 13.
A pipe can fill a tank in 12 hours. By mistake, a waste pipe in the bottom is left opened and the tank is filled in 16 hours. If the tank is full, how much time will the waste pipe take to empty it?
Solution:.

ML Aggarwal Class 8 Solutions for ICSE Maths

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 9 Direct and Inverse Variation Ex 9.2

Question 1.
Which of the following are in inverse variation?
(i) The number of students in a hostel and the consumption of food.
(ii) Time is taken by a train to cover a fixed distance and the speed of the train.
(iii) Area of land and its cost.
(iv) The number of people working and the time to complete the work.
(v) The quantity of rice and its cost.
Solution:

Question 2.
Observe the following tables and find which pair of variables (here x and y) are in inverse variation:

Solution:

Question 3.
Under the condition that the temperature remains constant, the volume of gas is inversely proportional to its pressure. If the volume of gas is 630 cubic centimetres at a pressure of 360 mm of mercury, then what will be the pressure of the gas, if its volume is 720 cubic centimetres at the same temperature?
Solution:

Question 4.
A packet of sweets was distributed among 20 children and each of them received 4 sweets. How many sweets will each child get, if the number of children is reduced by 4?
Solution:

Question 5.
Pooja has enough money to buy 36 oranges at the rate of ₹4.50 per orange. How many oranges she can buy if the price of each orange is increased by 90 paise?
Solution:

Question 6.
It takes 8 days for 12 men to construct a wall. How many men should be put on the job if it is required to be constructed in 6 days.?
Solution:

Question 7.
Eight taps through which water flows at the same rate can fill a tank in 27 minutes. If two taps go out of order, how long will the remaining taps take to fill the tank?
Solution:

Question 8.
A contractor undertook a contract to complete a part of a stadium in 9 months with a team of 560 persons. Later on, it was required to complete the job in 5 months. How many extra persons should he employ to complete the work?
Solution:

Question 9.
A batch of bottles were packed in 30 boxes with 10 bottles in each box. If the same batch is packed using 12 bottles in each box, how many boxes would be filled?
Solution:

Question 10.
Vandana takes 24 minutes to reach her school if she goes at a speed of 5 km/h. If she wants to reach school in 20 minutes, what should be her speed?
Solution:

Question 11.
A fort is provided with food for 80 soldiers to last for 60 days. Find how long would the food last if 20 additional soldiers join after 15 days.
Solution:

Question 12.
1200 soldiers in a fort had enough food for 28 days. After 4 days, some soldiers were sent to another fort and thus, the food lasted for 32 more days. How many soldiers left the fort?
Solution:

ML Aggarwal Class 8 Solutions for ICSE Maths

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 9 Direct and Inverse Variation Ex 9.1

Question 1.
Observe the following tables and find if x and y are directly proportional:
(i)

(ii)

Solution:

Question 2.
If x and y are in direct variation, complete the following tables:
(i)

(ii)

Solution:

Question 3.
If 8 metres cloth costs ₹250, find the cost of 5·8 metres of the same cloth.
Solution:

Question 4.
If a labourer earns ₹672 per week, how much will he earn in 18 days?
Solution:

Question 5.
If 175 dollars cost ₹7350, how many dollars can be purchased in ₹24024?
Solution:

Question 6.
If a car travels 67·5 km in 4·5 litres of petrol, how many kilometres will it travel in 26-4 litres of petrol?
Solution:

Question 7.
If the thickness of a pile of 12 cardboard sheets is 45 mm, then how many sheets of the same cardboard would be 90 cm thick?
Solution:

Question 8.
In a model of a ship, the mast (flagstaff) is 6 cm high, while the mast of the actual ship is 9 m high. If the length of the ship is 33 m, how long is the model of the ship?
Solution:

Question 9.
The mass of an aluminium rod varies directly with its length. If a 16 cm long rod has a mass of 192 g, find the length of the rod whose mass is 105 g.
Solution:

Question 10.
Anita has to drive from village A to village B. She measures a distance of 3.5 cm between these villages on the map. What is the actual distance between the villages if the map scale is 1 cm = 20 km?
Solution:

Question 11.
A 23 m 75 cm high water tank casts a shadow 20 m long. Find at the same time;
(i) the length of the shadow cast by a tree 9 m 50 cm high.
(ii) the height of the tree if the length of the shadow is 12 m.
Solution:

Question 12.
If 5 men or 7 women can earn ₹525 per day, how much would 10 men and 13 women will earn per day.
Solution:

ML Aggarwal Class 8 Solutions for ICSE Maths

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 8 Simple and Compound Interest Check Your Progress

Question 1.
Find the amount and the compound interest on ₹5000 for 2 years at 6% per annum interest payable yearly.
Solution:

Question 2.
Find the amount and the compounded interest on ₹7400 for 1 year at 5% per annum, interest payable half-yearly.
Solution:

Question 3.
Find the difference between C.I. and S.l. on a sum of ₹5000 for 2 years at 8% per annum payable yearly.
Solution:

Question 4.
Find the amount and compound interest on ₹10000 for \(1 \frac{1}{2}\) years at 10% per annum, compounded half yearly. Would this interest be more than the interest he would get if it was compounded annually?
Solution:

Question 5.
What sum invested for \(1 \frac{1}{2}\) years compounded half-yearly at the rate of 4% p.a. will amount to ₹ 132651?
Solution:

Question 6.
Find the time (in years) in which ₹ 12500 will produce ₹3246.40 as compound interest at 8% per annum, compounded annually.
Solution:

Question 7.
Find the amount and compound interest on ₹2500 in 2 years if the rate are 5% and 6% for the successive years.
Solution:

ML Aggarwal Class 8 Solutions for ICSE Maths

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 8 Simple and Compound Interest Objective Type Questions

Mental Maths
Question 1.
Fill in the blanks:
(i) The money borrowed (lent or invested) is called …………
(ii) the additional money paid by the borrower to the moneylender in lieu of the money used is called …………
(iii) In simple interest, the principal ………… for the whole loan period.
(iv) In compound interest the ………… goes on changing every conversion period.
(v) The time after which the interest is added each time to form a new principal is called …………
(vi) If the interest is compounded semi-annually then semi-annually rate is ………… of the annual rate.
Solution:

Question 2.
State whether the following statements are true (T) or false (F):
(i) The interest paid by the banks, post offices, insurance companies is simple interest.
(ii) Compound interest is calculated on the amount of the previous year.
(iii) In compound interest, the principal remains constant for the whole period.
(iv) The time from one specified interest period to the next period is called the conversion period.
(v) If the interest is compounded quarterly then there are 2 conversion periods in a year.
Solution:

Multiple Choice Questions
Choose the correct answer from the given four options (3 to 9):
Question 3.
The compound interest on ^1000 at 10% p.a. for 2 years is
(a) ₹190
(b) ₹210
(c) ₹1210
(d) ₹200
Solution:

Question 4.
The compound interest on ₹5000 at 20% per annum for \(1 \frac{1}{2}\) years compounded half yearly is
(a) ₹6655
(b) ₹1655
(c) ₹50
(d) ₹1000
Solution:

Question 5.
The compound interest on ₹10000 at 8% per annum for 6 months compounded quarterly is
a) ₹408
(b) ₹10404
(c) ₹404
(d) ₹400
Solution:

Question 6.
The time periods and rate for a sum taken at 8% p.a. for \(1 \frac{1}{2}\) years compounded half yearly are
(a) n = 3, R = 4%
(b) n = 6, R = 2%
(c) n = 3, R = 2%
(d) n = 6, R = 4%
Solution:

Question 7.
If ₹12000 taken for 2 years at 4% per annum compounded quarterly, then time period and rate is
(a) n = 2, R = 16%
(b) n = 4, R = 1 %
(c) n = 8, R = 1%
(d) n = 8, R = 16%
Solution:

Question 8.
If the number of conversion periods ≥ 2, then compound interest is
(a) less than or equal to the simple interest
(b) greater than or equal to the simple interest
(c) less than simple interest
(d) greater than simple interest
Solution:

Question 9.
The time in which ₹6000 amounts to ₹7986 at 10% p.a. compounded annually is
(a) 2 years
(b) 3 years
(c) 4 years
(d) 5 years
Solution:

Value Based Question
Question 1.
A person wants to invest ₹ 100000 in fixed deposit scheme for 2 years. His financial advisor explained to him two types of schemes first is yielding 10% p.a. compounded annually, second is yielding 10% p.a. compounded semi-annually. Which scheme is better and why? Why investment is important for future life?
Solution:

Higher Order Thinking Skills (Hots)
Question 1.
A certain sum of money is invested at the rate of 5% per annum compound interest, the interest compounded annually. If the difference between the interests of the third year and the first year is ₹102.50. Find the sum.
Solution:

Question 2.
The difference between the compound interest and the simple interest on ₹42000 for two years is ₹105 at the same rate of interest per annum. Find
(i) the rate of interest
(ii) the compound interest earned in the second year.
Solution:

ML Aggarwal Class 8 Solutions for ICSE Maths

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 8 Simple and Compound Interest Ex 8.3

Question 1.
Calculate the amount and compound interest on
(i) ₹15000 for 2 years at 10% per annum compounded annually.
(ii) ₹156250 for \(1 \frac{1}{2}\) years at 8% per annum compounded half-yearly.
(iii) ₹ 100000 for 9 months at 4% per annum compounded quarterly.
Solution:

Question 2.
Find the difference between the simple interest and compound interest on ₹4800 for 2 years at 5% per annum, compound interest being reckoned annually.
Solution:

Question 3.
Find the compound interest on ₹3125 for 3 years if the rates of interest for the first, second and third year are respectively 4%, 5% and 6% per annum.
Solution:

Question 4.
Kamla borrowed ₹26400 from a Bank to buy a scooter at a rate of 15% p.a. compounded yearly. What amount will she pay at the end of 2 years and 4 months to clear the loan?
Solution:

Question 5.
Anil borrowed ₹18000 from Rakesh at 8% per annum simple interest for 2 years. If Anil had borrowed this sum at 8% per annum compound interest, what extra amount would he has to pay?
Solution:

Question 6.
Mukesh borrowed 775000 from a bank. If the rate of interest is 12% per annum, find the amount he would be paying after \(1 \frac{1}{2}\) years if the interest is
(i) compounded annually
(ii) compounded half-yearly.
Solution:

Question 7.
Aryaman invested ₹10000 in a company, he would be paid interest at 7% per annum compounded annually. Find
(i) the amount received by him at the end of 2 years.
(ii) the interest for the 3rd year.
Solution:

Question 8.
What sum of money will amount to ₹9261 in 3 years at 5% per annum compound interest?
Solution:

Question 9.
What sum invested for \(1 \frac{1}{2}\) years compounded half-yearly at the rate 8% p.a. will amount to ₹ 140608?
Solution:

Question 10.
At what rate percent will ₹2000 amount to ₹2315·25 in 3 years at compound interest?
Solution:

Question 11.
If ₹40000 amounts to ₹46305 in \(1 \frac{1}{2}\) years, compound interest payable half-yearly, find the rate of interest per annum.
Solution:

Question 12.
In what time will ₹15625 amount to ₹ 17576 at 4% per annum compound interest?
Solution:

Question 13.
₹ 16000 invested at 10% p.a. compounded semi-annually, amounts to ₹18522. Find the time period of investment.
Solution:

ML Aggarwal Class 8 Solutions for ICSE Maths

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 8 Simple and Compound Interest Ex 8.2

Question 1.
Calculate the compound interest on ₹6000 at 10% per annum for two years.
Solution:

Question 2.
Salma borrowed from Mahila Samiti a sum of ₹ 1875 to purchase a sewing machine. If the rate of interest is 4% per annum, what is the compound interest that she has to pay after 2 years?
Solution:

Question 3.
Jacob invests ₹12000 for 3 years at 10% per annum. Calculate the amount and the compound interest that Jacob will get after 3 years.
Solution:

Question 4.
A man invests ₹46875 at 4% per annum compound interest for 3 years.
Calculate:
(i) the interest for the first year.
(ii) the amount standing to his credit at the end of second year.
(iii) the interest for the third year.
Solution:

Question 5.
Calculate the compound interest for the second year on ₹6000 invested for 3 years at 10% p.a. Also find the sum due at the end of third year.
Solution:

Question 6.
Calculate the amount and the compound interest on ₹5000 in 2 years when the rate of interest for successive years is 6% and 8% respectively.
Solution:

Question 7.
Calculate the difference between the compound interest and the simple interest on ₹20000 in 2 years at 8% per annum.
Solution:

ML Aggarwal Class 8 Solutions for ICSE Maths

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 7 Percentage Check Your Progress

Question 1.
Convert \(\frac{7}{24}\) into a percentage correct to foursignificant figures.
Solution:

Question 2.
Express 750 mL as a percentage of 4 litres.
Solution:

Question 3.
A football team won 9 matches out of the total number of matches they played. If their win percentage was 45, then how many matches did they play in all?
Solution:

Question 4.
In a straight student election, Rahul got 66% of the votes polled. If the defeated student got 187 votes, find the total number of votes polled.
Solution:

Question 5.
36 kg of gunpowder contains 27 kg nitre, 5.4 kg charcoal and rest sulphur. Find the percentage content of sulphur in the gunpowder.
Solution:

Question 6.
75% of the students in a class passed an exam. If 2 more students had passed the exam. 80% would have been successful. How many students are there in the class ?
Solution:

Question 7.
The monthly salary of a school teacher in 2007 was ₹12000. It increased by 10% in 2008 and again by 10% in 2009. What is his salary in 2009?
Solution:

Question 8.
Price of a commodity decreased by 10% last year and increased by 20% this year. Find the percentage change in two years.
Solution:

Question 9.
A shop gives a 15% discount. What would the sale price of each of these be?
(i) A dress marked at ₹150
(ii) A pair of shoes marked at ₹800.
Solution:

Question 10.
A refrigerator marked at ₹18000 is available for ₹17100. Find the discount given and the discount percent.
Solution:

Question 11.
Ramu purchased 20 parrots at ₹30 each. Two parrots flew away and Ramu sold the rest of the parrots at ₹40 each. Calculate the profit or loss percentage of Ramu.
Solution:

Question 12.
Reena bought two tables for ₹ 1800 each. She sold one at a loss of 8% and the other at a profit of 12%. Find the selling price of each. Also, find out the total profit or loss.
Solution:

Question 13.
Ajit bought an old car ₹78000. He spent ₹2000 on repairs and repainting the car. He sold the car to Anju at a gain of 15%. Anju sold it to Anthony at a loss of 5%. What did the car cost to Anthony?
Solution:

Question 14.
Gaurav sold an article at a profit of 12%. Had it been sold for ₹16 more, the profit would have been 20%. Find the C.P. of the article.
Solution:

Question 15.
A shopkeeper allows 8% discount on his goods and still earns a profit of 15%. If an article is sold for ₹460, find :
(i) the marked price
(ii) the cost price.
Solution:

Question 16.
Rajesh bought an A.C. for ₹38500 including 10% VAT. Find the price ofA.C. before VAT was added.
Solution:

Question 17.
A DVD player is marked for ₹3000. The shopkeeper offers 10% discount on it. If VAT is received 8%. Find the amount paid by the customer.
Solution:

ML Aggarwal Class 8 Solutions for ICSE Maths

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 7 Percentage Objective Type Questions

Mental Maths
Question 1.
Fill in the blanks:
(i) The percentage is the numerator of a fraction with denominator …………..
(ii) 15% of ………….. is 135.
(iii) \(\frac{3}{4}\) = ………..%
(iv) 50 paise = ………….. % of 8 rupees.
(v) A shopkeeper earns a profit if S.P. is ………….. than C.P.
(vi) Loss or profit % is always calculated on ………….. price.
(vii) The additional expenses on transportation, labour, repairing etc. are called …………..expenses.
(viii)Amount deducted from the marked price of an article is called ……..
(ix) Discount = Marked price – ………….. price.
(x) These days, sales tax is known as …………..
Solution:

Question 2.
State whether the following statements are true (T) or false (F):
(i) Discount is always calculated on the marked price.
(ii) Two successive discounts of 20% and 20% are equivalent to a single discount of 40%.
(iii) Overheads are always added to the original cost to get the total cost.
(iv) If S.P. is less than C.P. then shopkeeper suffers a loss.
(v) Sales tax is always calculated on the selling price.
Solution:

Multiple Choice Questions
Choose the correct answer from the given four options (3 to 18):
Question 3.
\(3 \frac{1}{8}\) % of 75 kg is equal to

Solution:

Question 4.
\(2 \frac{1}{12}\) is equivalent to

Solution:

Question 5.
\(1 \frac{11}{16}\) is equivalent to
(a) 168.75%
(b) 169.75%
(c) 170.75%
(d) 167.75%
Solution:

Question 6.
21 : 80 is equivalent to
(a) 26%
(b) 26.50%
(c) 26.75%
(d) 26.25%
Solution:

Question 7.
If 5% of a number is 42, then the number is
(a) 800
(b) 820
(c) 840
(d) 860
Solution:

Question 8.
What % of 150 is 30?
(a) 50%
(b) 10%
(c) 15%
(d) 20%
Solution:

Question 9.
A number increased by 25% gives 155. The number is
(a) 132
(b) 128
(c) 124
(d) 120
Solution:

Question 10.
Naman buys a game for ₹60 and sells it for ₹75, his profit % is
(a) 15%
(b) 20%
(c) 25%
(d) 30%
Solution:

Question 11.
Cost price of a watch is ₹680. If Rishabh sells it at a profit of 35%, then S.P. is
(a) ₹918
(b) ₹919
(c) ₹920
(d) ₹921
Solution:

Question 12.
On selling an article for ₹ 150, Renu gains ₹30. Her gain percentage is
(a) 15%
(b) 20%
(c) 25%
(d) 30%
Solution:

Question 13.
If the cost price of 5 articles is equal to the selling price of 6 articles, then there is
(a) gain
(b) loss
(c) no gain no loss
(d) none of these
Solution:

Question 14.
Marked price of an article is ₹675. If it is sold at a discount of 20%, then S.P. is
(a) ₹540
(b) ₹525
(c) ₹510
(d) ₹500
Solution:

Question 15.
A jacket is marked for ₹2590. If the S.P. of the jacket is ₹2331, then discount % is
(a) 5%
(b) 10%
(c) 15%
(d) 20%
Solution:

Question 16.
Marked price of a showpiece is ₹950. S.P. of showpiece after two successive discounts of 10% and 10% is
(a) ₹ 769.50
(b) ₹ 760
(c) ₹ 855
(d) None of these.
Solution:

Question 17.
S.P. of a video game is ₹749 including 7% VAT. The original price of a video game is
(a) ₹801.43
(b) ₹742
(c) ₹700
(d) None of these
Solution:

Question 18.
List price of an article is ₹1050. If 6% sales tax is charged, then bill amount is
(a) ₹1056
(b) ₹1113
(c) ₹1131
(d) ₹1311
Solution:

Value Based Questions
Question 1.
Out of 500 students in a school, 60% of students read Hindi Newspaper, 30% of students read English Newspaper and remaining students do not read any newspaper. Find
(i) What % of students do not read any newspaper?
(ii) Number of students who read Hindi newspaper.
(iii) Number of students who read English newspaper.
Is reading the newspaper a good habit? What are the advantages of the reading newspaper?
Solution:

Question 2.
In an exam at least 35% marks are required to pass the exam. Ramesh uses unfair means and tries to pass the exam but fails by 15 marks. If he scored 160 marks, find the maximum marks.
Is using unfair means in the exam is good? Why should we not use unfair means?
Solution:

Question 3.
A shopkeeper was involved in tax evasion. To save sales tax he never gives receipts to his customers. He sold an article for ₹550 including 10% VAT. Find the amount of VAT not paid by him to the Government. Is tax evasion correct? Why should we pay tax? What measures should we adopt to stop tax evasions?
Solution:

Higher Order Thinking Skills (Hots)
Question 1.
Marked price of an article is ₹2860 and rate of VAT is 8%. A shopkeeper allows a discount of 20% and still makes a profit of 10%. If he spent 4% as overheads, then find the original cost price of the article and final selling price including VAT.
Solution:

ML Aggarwal Class 8 Solutions for ICSE Maths

ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 7 Percentage Ex 7.4

Question 1.
Find the buying price of each of the following when 5% S.T. is added on the purchase of
(i) a towel of ₹50
(ii) 5 kg of flour at ₹15 per kg.
Solution:

Question 2.
If 8% VAT is included in the prices, find the original price of
(i) a TV bought for ₹ 13500
(ii) a shampoo bottle bought for ₹ 180.
Solution:

Question 3.
Utkarsh bought an AC for ₹34992 including a VAT of 8%. Find the price of AC before VAT was added.
Solution:

Question 4.
Gaurav bought a shirt for ₹ 1296 including VAT. If the original price of the shirt is ₹ 1 200, find the rate of VAT.
Solution:

Question 5.
Anjana buys a purse for ₹523.80 including 8% VAT. Find the new selling price of the purse if VAT increases to 10%.
Solution:

Question 6.
A wall hanging is marked for ₹4800. The shopkeeper offers 10% discount on it. If VAT is received 8% from the customer, find the amount paid by the customer to purchase the wall hanging.
Solution:

Question 7.
Amit goes to a shop to buy a washing machine. The marked price of the washing machine is ₹ 10900 excluding9% VAT. Amit bargains with a shopkeeper and convinces him for ₹10900 including VAT as the final cost of the washing machine. Find the amount reduced by the shopkeeper.
Solution:

ML Aggarwal Class 8 Solutions for ICSE Maths