## RS Aggarwal Class 8 Solutions Chapter 9 Percentage Ex 9A

These Solutions are part of RS Aggarwal Solutions Class 8. Here we have given RS Aggarwal Solutions Class 8 Chapter 9 Percentage Ex 9A.

**Other Exercises**

- RS Aggarwal Solutions Class 8 Chapter 9 Percentage Ex 9A
- RS Aggarwal Solutions Class 8 Chapter 9 Percentage Ex 9B

**Question 1.**

**Solution:**

(i) 48% = \(\\ \frac { 48 }{ 100 } \) = \(\\ \frac { 12 }{ 25 } \)

(ii) 220% = \(\\ \frac { 220 }{ 100 } \) = \(\\ \frac { 11 }{ 5 } \)

(iii) 2.5% = \(\\ \frac { 2.5 }{ 100 } \) = \(\\ \frac { 25 }{ 10X100 } \) = \(\\ \frac { 1 }{ 40 } \)

**Question 2.**

**Solution:**

(i) 6% = \(\\ \frac { 6 }{ 100 } \) = 0.06

(ii) 72% = \(\\ \frac { 72 }{ 100 } \) = 0.72

(iii) 125% = \(\\ \frac { 125 }{ 100 } \) = 1.25

**Question 3.**

**Solution:**

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**Question 4.**

**Solution:**

Ratio is 4:5 or \(\\ \frac { 4 }{ 5 } \)

\(\\ \frac { 4 }{ 5 } \)

= \(\\ \frac { 4X20 }{ 5X20 } \)

= \(\\ \frac { 80 }{ 100 } \)

= 80%

**Question 5.**

**Solution:**

125% = \(\\ \frac { 125 }{ 100 } \)

= \(\\ \frac { 5 }{ 4 } \) (dividing by 25)

Ratio = 5:4

**Question 6.**

**Solution:**

We see that 15% or \(\\ \frac { 3 }{ 20 } \) is the largest

**Question 7.**

**Solution:**

(i) Let x% of 150

= 96

**Question 8.**

**Solution:**

\(6\frac { 2 }{ 3 } %\) of Rs 3600

= Rs \(\\ \frac { 9 }{ 2 } \) x \(\\ \frac { 3600 }{ 100 } \)

= Rs 162

**Question 9.**

**Solution:**

16% of a number = 72

Number = \(\\ \frac { 72 }{ 16 }\)%

= \(\\ \frac { 72X100 }{ 16 } \)

= 450

**Question 10.**

**Solution:**

Let monthly income = Rs x

Savings = 18%

**Question 11.**

**Solution:**

Let total games = x

Then game which a team wins = 73

and it is 35% of total games

35% of x = 7

=> x = \(\\ \frac { 7X100 }{ 35 } \) = 20

Number of total games = 20

**Question 12.**

**Solution:**

Let salary = Rs x

Increment = 20%

Total salary = x + 20% of x

**Question 13.**

**Solution:**

No. of days, Sonal attended = 204 days

and her attendance = 85% of total days

85% of total days = 204

Total number of days = \(\\ \frac { 204X100 }{ 85 } \)

= 240 days

**Question 14.**

**Solution:**

Let B’s income = Rs. 100

Then A’s income = 20% less than B’s

= 100 – 20 = Rs. 80

Difference = 100 – 80 = 20

B’s more income that A’s = \(\\ \frac { 20 }{ 80 } \) x 100

= 25%

**Question 15.**

**Solution:**

Increase in price of petrol = 10%

Let first price = Rs. 100 p.l.

Increased price = 100 + 10 = Rs. 110

Now reduction in consumption = 110 – 100= 10

Percentage reduced consumption

= \(\\ \frac { 10X100 }{ 110 } \)

= \(\\ \frac { 100 }{ 11 } \)

= \(9\frac { 1 }{ 11 } %\)

**Question 16.**

**Solution:**

Present population of a town = 54000

Rate of increase = 8% annually

Population a year ago = \(\\ \frac { 54000X100 }{ 100+8 } \)

= \(\\ \frac { 54000X100 }{ 108 } \)

= 50000

**Question 17.**

**Solution:**

Depreciation in the value of machine = 20%

Present value = Rs. 160000

Then value of machine one year ago

= \(\\ \frac { 160000X100 }{ 100-20 } \)

= \(\\ \frac { 160000X100 }{ 80 } \)

= Rs 200000

**Question 18.**

**Solution:**

In an alloy,

Copper = 40%

Nickel = 32%

Zinc = 100 – (40% + 32%)

= 100 – 72 = 28%

Then mass of zinc in one kg of alloy

= 1 kg X 28%

= \(\\ \frac { 1000X28 }{ 100 } \) g

= 280 gm

**Question 19.**

**Solution:**

In balance diet,

Protein = 12%

Fats = 25%

Carbohydrates = 63%

Total number of dories = 2600

**Question 20.**

**Solution:**

In gunpowder,

Nitre = 75%

Sulphur = 10%

(i) Amount of gunpowder if nitre is 9 kg

= \(\\ \frac { 100 }{ 75 } \) x 9

= 12 kg

(ii) Amount of gunpowder if sulphur is 2.5kg 100

= \(\\ \frac { 100 }{ 10 } \) x 2.5

= 25 kg

**Question 21.**

**Solution:**

Let C get = Rs. x

**Question 22.**

**Solution:**

24-carat gold is 100% pure

22 parts out of 24 part in 22-carat gold

**Question 23.**

**Solution:**

Let present salary = Rs. 100

Increase = 25%

Increased salary = Rs. 100 + 25

= Rs. 125

To receive the original salary, amount to be decreased = Rs. 125 – 100 = Rs. 25

∴ % decrease = \(\\ \frac { 25X100 }{ 125 } \) = 20%

Hope given RS Aggarwal Solutions Class 8 Chapter 9 Percentage Ex 9A are helpful to complete your math homework.

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