## Selina Publishers Concise Mathematics Class 7 ICSE Solutions Chapter 6 Ratio and Proportion (Including Sharing in a Ratio)

**Selina Publishers Concise Mathematics Class 7 ICSE Solutions Chapter 6 Ratio and Proportion (Including Sharing in a Ratio)**

### Ratio and Proportion Exercise 6A – Selina Concise Mathematics Class 7 ICSE Solutions

Question 1.

Express each of the given ratio in its simplest form :

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Question 2.

Divide 64 cm long string into two parts in the ratio 5 : 3.

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Question 3.

Rs. 720 is divided between x and y in the ratio 4:5. How many rupees will each get?

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Question 4.

The angles of a triangle are in the ratio 3 :2 : 7. Find each angle.

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Question 5.

A rectangular field is 100 m by 80 m. Find the ratio of

(i) length to its breadth

(ii) breadth to its perimeter.

Solution:

Question 6.

The sum of three numbers, whose ratios are 3 \(\frac { 1 }{ 3 }\) : 4 \(\frac { 1 }{ 5 }\) : 6 \(\frac { 1 }{ 8 }\) is 4917.Find the numbers.

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Question 7.

The ratio between two quantities is 3 : the first is Rs. 810, find the second.

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Question 8.

Two numbers are in the ratio 5 : 7. Their difference is 10. Find the numbers.

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Question 9.

Two numbers are in the ratio 10 : 11. Their sum is 168. Find the numbers.

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Question 10.

A line is divided in two parts in the ratio 2.5 : 1.3. If the smaller one is 35.1 cm, find the length of the line.

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Question 11.

In a class, the ratio of boys to the girls is 7:8. What part of the whole class are girls.

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Question 12.

The population of a town is ’ 50,000, out of which males are \(\frac { 1 }{ 3 }\) of the whole population. Find the number of females. Also, find the ratio of the number of females to the whole population.

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Question 13.

Ten gram of an alloy of metals A and B contains 7.5 gm of metal A and the rest is metal B. Find the ratio between :

(i) the weights of metals A and B in the alloy.

(ii) the weight of metal B and the weight of the alloy.

Solution:

Question 14.

The ages of two boys A and B are 6 years 8 months and 7 years 4 months respectively. Divide Rs. 3,150 in the ratio of their ages.

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Question 15.

Three persons start a business and spend Rs. 25,000; Rs. 15,000 atid Rs. 40,000 respectively. Find the share of each out of a profit of Rs. 14,400 in a year.

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Question 16.

A plot of land, 600 sq m in area, is divided between two persons such that the first person gets three-fifth of what the second gets. Find the share of each.

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Question 17.

Two poles of different heights are standing vertically on a horizontal field. At a particular time, the ratio between the lengths of their shadows is 2 :3. If the height of the smaller pole is 7.5 m, find the height of the other pole.

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Question 18.

Two numbers are in the ratio 4 : 7. If their L.C.M. is 168, find the numbers.

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Question 19.

is divided between A and B in such a way that A gets half of B. Find :

(i) the ratio between the shares of A and B.

(ii) the share of A and the share of B.

Solution:

Question 20.

The ratio between two numbers is 5 : 9. Find the numbers, if their H.C.F. is 16.

Solution:

Question 21.

A bag contains ₹ 1,600 in the form of ₹10 and ₹20 notes. If the ratio between the numbers of ₹10 and ₹20 notes is 2 : 3; find the total number of notes in all.

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Question 22.

The ratio between the prices of a scooter and a refrigerator is 4 : 1. If the scooter costs ₹45,000 more than the refrigerator, find the price of the refrigerator.

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### Ratio and Proportion Exercise 6B – Selina Concise Mathematics Class 7 ICSE Solutions

Question 1.

Check whether the following quantities form a proportion or not ?

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Question 2.

Find the fourth proportional of

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Question 3.

Find the third proportional of

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Question 4.

Find the mean proportional between

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Question 5.

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Question 6.

If x: y – 5 :4 and 2 : x = 3 :8, find the value of y.

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Question 7.

Find the value of x, when 2.5 : 4 = x : 7.5.

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Question 8.

Show that 2, 12 and 72 are in continued proportion.

Solution: