**Collins Maths Solutions Class 7 Chapter 6 Ratio and Proportion**

Welcome to NCTB Solution. Here with this post we are going to help 7th class students for the Solutions of Collins Maths Class 7 Mathematics, Chapter 6, Ratio and Proportion. Here students can easily find chapter 6 solutions with exercise wise explanation. Students will find proper solutions for Exercise 6.1, 6.2 and 6.3 Our teacher’s solved every problem with easily understandable methods so that every students can understand easily. Here in this post all the solutions are based on ICSE latest Syllabus.

**Ratio and Proportion Exercise 6.1 Solution :**

**Question no – (1) **

**Solution : **

**(a) 3 : 3**

= 1 : 1

**(b) 4 : 4**

= 1 : 1

**(c) 6 : 4**

= 3 : 2

**(d) 8 : 3**

**Question no – (2) **

**Solution : **

**(a) 33 : 45**

= 11 : 15

**∴** Simplest form is 11 : 15

**(b) 120 : 65**

= 24 : 13

**∴** Simplest form is 24 : 13

**(c) 240 : 140**

= 24 : 14

= 12 : 7

**∴** Simplest form is 12 : 7

**(d) 2625 : 6250**

= 21 : 50

**∴** Simplest form is 21 : 50

**Question no – (3) **

**Solution : **

**(a) 4 : 2.50**

= 400 : 250

= 40 : 25

= 8 : 5

**∴** Simplest form is 8 : 5

**(b) 7 days : 7 weeks**

= 7 : (7 × 7)

= 7 : 49

= 1 : 7

**∴** Simplest form is 1 : 7

**(c) 2 hours : 45 minute**

= 2 × 60 : 45 ∵ (1 hours = 60 minute)

= 120 : 45

= 24 : 9

= 8 : 3

**∴** Simplest form is 8 : 3

**Question no – (4) **

**Solution : **

**(a) 1/3 : 1/4**

= 1/3 × 112 : 1/4 × 12

= 4 : 3

**(b) 10.5 : 17.5**

= 105 : 175

= 21 : 35

= 3 : 5

**(c) 3 3/4 : 6 2/3**

= 15 /4 : 20/3

= 15/4 × 12 : 20/3 × 12

= 45 : 80

= 9 : 16

**(d) 4 1/4 : 2 1/3**

= 17/4 : 7/3

= 17/4 × 12 : 7/3 × 12

= 51 : 28

**Question no – (6)**

**Solution : **

**(a) Girls : Children’s**

= 15 : 25

= 3 : 5

**∴** Girls to Children’s = 3 : 5

**(b) Children : Boys**

= 25 : 10

= 5 : 2

**∴** Children to Boys = 5 : 2

**(c) Boys : Girls**

= 10 : 15

= 2 : 3

**∴** Boys to Girls = 2 : 3

**Question no – (7)**

**Solution : **

The number of blue mugs,

= (30 × 2/3)

= 20

Therefore, there are 20 blue mugs.

**Question no – (8)**

**Solution : **

The number of science book,

= (40 × 3/5)

= 24 books,

Therefore, there are total 24 science book.

**Question no – (9)**

**Solution : **

Total number of adults,

= (24 × 1/5)

= 4 : 24

= 1 : 6

Therefore, total 6 adults are there.

**Ratio and Proportion Exercise 6.2 Solution :**

**Question no – (1) **

**Solution : **

**(a) 5, 10, 16, 8**

Product of extremes,

= (5 × 8)

= 40

Product of Means,

= (10 × 16)

= 160

**∴** No, it is not in proportion.

**(b) 16, 18, 8, 9**

Product of extreme,

= (16 × 9)

= 144

Product of means,

= (18 × 8)

= 144

**∴** Yes, it is in Proportion.

**(c) 24, 30, 10, 15**

Product of extremes,

= (15 × 24)

= 360

Product of means,

= (30 × 10)

= 300

**∴** No, it is not in proportion.

**(d) 7, 8, 28, 32**

Product of extremes,

= (7 × 32)

= 224

Product of means,

= (8 × 28)

= 224

**∴** Yes, it is in proportion.

**Question no – (2) **

**Solution : **

(a) 9 : 12 = ** 36** : 48

(b) 18 : 25 = 90 : __125__

(c) __3__ : 9 = 9 : 27

(d) 5 1/2 : __ 2 3/4__ = 10 1/2 : 5 1/4

= 11/2 : ** 11/4** : 21/2 : 21/4

**Question no – (3) **

**Solution : **

P : Q = 6 : 5 : 5

Q : R = 4 : 4 : 1

——————————-

**∴** P : Q : R = 24 : 20 : 5

**Question no – (4) **

**Solution : **

X : Y = 5 : 4 : 4

Y : Z = 3 : 3 : 4

———————————-

X : Y : Z = 15 : 12 : 16

Now,

X = (10750 × 15/43)

**∴** X = 3750 Rs.

Y = (10750 × 12/43)

**∴** Y = 3000 Rs.

Z = (10750 × 16/43

**∴** Z = 4000 Rs.

**Question no – (5)**

**Solution : **

**(a) 11 : x : : 4 : 8**

= 11/x = 4/8

= x = 8 × 11/4

**∴** x = 22

**(b) 5 : 12 : : 10 : x**

= 5/12 = 10/x

= x = 12 × 10/5

**∴** x = 24

**(c) 7 : 5 : : 14 : x**

= 7/5 = 14/x

= x = 5 × 14/7

**∴** x = 10

**(d) 12 : 21 : : x : 35**

= 12/21 = x/35

= x = 35 × 12/21

**∴ **x = 20

**Question no – (6) **

**Solution :**

Fourth proportional of 3, 8 and 12

= 3 : 8 : : 12 : x

= 3/8 = 12/x

= x = 8 × 12/3

**∴** x = 32

Hence, the fourth proportional of 3, 8 and 12 will be 32.

**Ratio and Proportion Exercise 6.3 Solution :**

**Question no – (1) **

**Solution : **

Out put of per worker,

= 1/5

= 3

Therefore, the out put of per worker will be 3 things per day.

**Question no – (2) **

**Solution : **

Distance cover in 1 hour,

= 80/4

= 20 km

Therefore, the car will cover 20 km in 1 hour.

**Question no – (3) **

**Solution : **

Each member contribute,

= 60,000/6

= 10,000

Thus, each member will contribute 10,000 towards family.

**Question no – (4) **

**Solution : **

Rotation in second,

= 3720/60

= 62

So, motor will make 62 rotation in a second.

**Question no – (5) **

**Solution : **

25 kg pack cost,

= 700 R.

**∴** 1 kg pack will cost,

= 700/25

**∴** 15 kg pack will cost,

= 700 × 15/25

= 420 Rs.

Therefore, 15 kg pack will cost 420 rupees.

**Question no – (6) **

**Solution : **

In 20 hours need 12 farmers,

**∴** 1 hour need 12 × 20

**∴** 15 hours will need,

= 12 × 20/15

= 16 farmers.

Therefore, 16 farmers will be required.

**Next Chapter Solution : **

👉 Chapter 7 👈