# Selina solutions for Concise Mathematics Class 7 ICSE chapter 6 - Ratio and Proportion (Including Sharing in a Ratio) [Latest edition]

## Chapter 6: Ratio and Proportion (Including Sharing in a Ratio)

Exercise 6 (A)Exercise 6 (B)
Exercise 6 (A)

### Selina solutions for Concise Mathematics Class 7 ICSE Chapter 6 Ratio and Proportion (Including Sharing in a Ratio) Exercise 6 (A)

Exercise 6 (A) | Q 1.1

Express the given ratio in its simplest form: 22 : 66

Exercise 6 (A) | Q 1.2

Express the given ratio in its simplest form: 1.5 : 2.5

Exercise 6 (A) | Q 1.3

Express the given ratio in its simplest form: 6 1/4 : 12 1/2

Exercise 6 (A) | Q 1.4

Express the given ratio in its simplest form: 40 kg : 1 quintal

Exercise 6 (A) | Q 1.5

Express the given ratio in its simplest form: 10 paise : ₹ 1

Exercise 6 (A) | Q 1.6

Express the given ratio in its simplest form: 200 m : 5 km

Exercise 6 (A) | Q 1.7

Express the given ratio in its simplest form: 3 hours : 1 day

Exercise 6 (A) | Q 1.8

Express the given ratio in its simplest form: 6 months: 1 1/3 years

Exercise 6 (A) | Q 1.9

Express the given ratio in its simplest form: 1 1/3:2 1/4:2 1/2

Exercise 6 (A) | Q 2

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

Exercise 6 (A) | Q 3

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

Exercise 6 (A) | Q 4

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

Exercise 6 (A) | Q 5.1

A rectangular field is 100 m by 80 m. Find the ratio of length to its breadth.

Exercise 6 (A) | Q 5.2

A rectangular field is 100 m by 80 m. Find the ratio of breadth to its perimeter.

Exercise 6 (A) | Q 6

The sum of three numbers, whose ratios are 3 1/3 : 4 1/5 : 6 1/8 is 4917. Find the numbers.

Exercise 6 (A) | Q 7

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

Exercise 6 (A) | Q 8

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

Exercise 6 (A) | Q 9

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

Exercise 6 (A) | Q 10

A line is divided in two parts in the ratio 2.5 : 1.3. If the smaller one is 35T cm, find the length of the line.

Exercise 6 (A) | Q 11

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

Exercise 6 (A) | Q 12

The population of a town is ’ 50,000, out of which males are 1/3 of the whole population. Find the number of females. Also, find the ratio of the number of females to the whole population.

Exercise 6 (A) | Q 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.

Exercise 6 (A) | Q 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.

Exercise 6 (A) | Q 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

Exercise 6 (A) | Q 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.

Exercise 6 (A) | Q 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.

Exercise 6 (A) | Q 18

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

Exercise 6 (A) | Q 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.

Exercise 6 (A) | Q 20

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

Exercise 6 (A) | Q 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.

Exercise 6 (A) | Q 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.

Exercise 6 (B)

### Selina solutions for Concise Mathematics Class 7 ICSE Chapter 6 Ratio and Proportion (Including Sharing in a Ratio) Exercise 6 (B)

Exercise 6 (B) | Q 1.1

Check whether the following quantities form a proportion or not?

3x, 7x, 24 and 56

Exercise 6 (B) | Q 1.2

Check whether the following quantities form a proportion or not?

0.8, 3, 2.4 and 9

Exercise 6 (B) | Q 1.3

Check whether the following quantities form a proportion or not?

1 1/2, 3 1/4, 4 1/2  "and"  9 3/4

Exercise 6 (B) | Q 1.4

Check whether the following quantities form a proportion or not?

0.4, 0.5, 2.9 and 3.5

Exercise 6 (B) | Q 1.5

Check whether the following quantities form a proportion or not?

2 1/2, 5 1/2, 3.0  "and"  6.0

Exercise 6 (B) | Q 2.1

Find the fourth proportional of 3, 12 and 4

Exercise 6 (B) | Q 2.2

Find the fourth proportional of 5, 9 and 45

Exercise 6 (B) | Q 2.3

Find the fourth proportional of 2.1, 1.5 and 8.4

Exercise 6 (B) | Q 2.4

Find the fourth proportional of 1/3, 2/5  "and"  8.4

Exercise 6 (B) | Q 2.5

Find the fourth proportional of 4 hours 40 minutes, 1 hour 10 minutes and 16 hours.

Exercise 6 (B) | Q 3.1

Find the third proportional of 27 and 9

Exercise 6 (B) | Q 3.2

Find the third proportional of 2 m 40 cm and 40 cm

Exercise 6 (B) | Q 3.3

Find the third proportional of 1.8 and 0.6

Exercise 6 (B) | Q 3.4

Find the third proportional of 1/7  "and"  3/14

Exercise 6 (B) | Q 3.5

Find the third proportional of  1.6 and 0.8

Exercise 6 (B) | Q 4.1

Find the mean proportional between 16 and 4

Exercise 6 (B) | Q 4.2

Find the mean proportional between 3 and 27

Exercise 6 (B) | Q 4.3

Find the mean proportional between 0.9 and 2.5

Exercise 6 (B) | Q 4.4

Find the mean proportional between 0.6 and 9.6

Exercise 6 (B) | Q 4.5

Find the mean proportional between 1/4  "and"  1/16

Exercise 6 (B) | Q 5.1

If A : B = 3 : 5 and B : C = 4 : 7, find A : B : C

Exercise 6 (B) | Q 5.2

If x : y = 2 : 3  and y : z = 5 : 7, find x : y : z.

Exercise 6 (B) | Q 5.3

If m : n = 4 : 9 and n : s : 3 : 7, find m : s

Exercise 6 (B) | Q 5.4

If P : Q = 1/2 : 1/3 and Q : R = 1 1/2 : 1 1/3, find P : R.

Exercise 6 (B) | Q 5.5

If a : b = 1.5 : 3.5 and b : c = 5 : 6, find a : c.

Exercise 6 (B) | Q 5.6

If 1 1/4 : 2 1/3 = "p" : "q" and q : r = 4 1/2 : 5 1/4; find p : r.

Exercise 6 (B) | Q 6

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

Exercise 6 (B) | Q 7

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

Exercise 6 (B) | Q 8

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

## Chapter 6: Ratio and Proportion (Including Sharing in a Ratio)

Exercise 6 (A)Exercise 6 (B)

## Selina solutions for Concise Mathematics Class 7 ICSE chapter 6 - Ratio and Proportion (Including Sharing in a Ratio)

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Concepts covered in Concise Mathematics Class 7 ICSE chapter 6 Ratio and Proportion (Including Sharing in a Ratio) are Concept of Ratio, Concept of Ratio.

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