6th Maths : Term 1 Unit 3 : Ratio and Proportion : Exercise 3.2 : Text Book Back Exercises Questions with Answers, Solution

__Exercise
3.2__

** **

**1.
Fill in the blanks of the given equivalent ratios.**

**(i)
3 : 5 = 9 : ___**

**(ii)
4 : 5 = ___ : 10 **

**(iii)
6 : ___ = 1 : 2**

**Answer:**

(i) 3 : 5 = 9 : __15 __

(ii) 4 : 5 = ** 8 **: 10

(iii) 6 : ** 12** = 1 : 2

** **

**2.
Complete the table.**

** **

**3.
Say True or False.**

**(i)
5 : 7 is equivalent to 21 : 15**

**(ii)
If 40 is divided in the ratio 3 : 2, then the larger part is 24.**

** **

**4.
Give two equivalent ratios for each of the following.**

**(i)
3 : 2**

**(ii)
1 : 6**

**(iii)
5 : 4**

**Solution:**

**(i) 3:2**

Fractional for = 3 / 2

Equivalent ratio 3/2 × 2/2 = 6/4
3/2 × 3/3 = 9/6

Equivalent ratios for 3 : 2 are 6 : 4, 9 : 6

**(ii) 1 : 6**

Fractional for = 1/6

Equivalent ratio 1/6 × 2/2 = 2/12 1/6
× 3/3 = 3/18

Equivalent ratios for 1 : 6 are 2 : 12, 3 : 18

**(ii) 5 : 4**

Fractional for = 5/4

Equivalent ratio = 5/4 × 2/2 = 10 /8 5/4
× 3/3 = 15/12

Equivalent ratios for 5 : 4 are 10 : 8, 15 : 12

** **

**5.
Which of the two ratios is larger?**

**(i)
4 : 5 or 8 : 15**

**(ii)
3 : 4 or 7 : 8**

**(iii)
1 : 2 or 2 : 1**

(i) 4 : 5 (or) 8 : 15

4/5 × 2/2 = 8/10 __8 /15__ × 2/2 = 16/30

4/5 × 3/3 = __12/15__ 8/15 × 3/3 = 24/30

Compaing the equivalent ratios :

12/15 × 8/15

12/15 > 8/15

We conclude that 4/5 is greater.

i.e. 4: 5 greater than 8:15

(ii) 3:4 (or) 7:8

3/4 × 2/2 = __6/8__ __7/ 8__ × 2/2 = 14/16

Compaing the equivalent ratios : 6/8, 7/8 = 6/8 < 7/8

We conclude that 7: 8 is greater than 3:4

(iii) 1:2 (or) 2:1

__1/2__ × 2/2 = 2/4 2/1 × 2/2 = __4/2__

Compaing the equivalent ratios : 1/2, 4/2 = 1/2 < 4/2

We conclude that 2:1 is greater than 1:2

** **

**6.
Divide the numbers given below in the required ratio.**

**(i)
20 in the ratio 3 : 2 **

**(ii)
27 in the ratio 4 : 5**

**(iii)
40 in the ratio 6 : 14**

Solution:

Total parts = 3 + 2 = 5

3 parts ⇒ 20 × 3/5 = 12

2 parts ⇒ 20 × 2/5 = 8

20 in the ratio 3:2 is 12 : 8

(ii) 27 in the ratio 4: 5

Solution: Total parts = 4 + 5 = 9

4 parts ⇒ 27 × 4/9 = 12

5 parts ⇒ 27 × 5/9 = 15

27 in the ratio 4 : 5 is 12 : 15

(iii) 40 in the ratio 6:14

Solution: Total parts = 6 + 14 = 20

6 parts ⇒ 40 × 6/20 = 12

14 parts ⇒ 40 × 14/20 = 28

** **

**7.
In a family, the amount spent in a month for buying Provisions and Vegetables are
in the ratio 3 : 2. If the allotted amount is ₹4000, then what will be the amount
spent for (i) Provisions and (ii) Vegetables?**

**Solution:**

Total amount = Rs.4000

Provisions : Vegetables = 3:2

Total parts = 5

(i) Provisions ⇒ 4000 × 3/5 = 2400

(ii) Vegetables ⇒ 4000 × 2/5 = 1600

Amount spent for Provisions = Rs.2400

Vegetables = Rs. 1600

** **

**8.
A line segment 63 cm long is to be divided
into two parts in the ratio 3 : 4. Find the length of each part.**

**Solution:**

Length of line segment = 63 cm

Into two parts in the ratio = 3 : 4

Total parts = 3 + 4 = 7

Length of part – I = 63 ×
3/7 = 27 cm

Length of part – II = 63 × 4/7 = 36 cm

** **

__Objective
Type Questions__

** **

**9.
If 2 : 3 and 4 : ___ are equivalent ratios, then the missing term is**

**(a)
6 **

**(b)
2 **

**(c)
4 **

**(d)
3 **

**Answer:** (a) 6

** **

**10.
An equivalent ratio of 4 : 7 is **

**(a)
1 : 3**

**(b)
8 : 15 **

**(c)
14 : 8 **

**(d)
12 : 21 **

**Answer:** (d) 12 : 21

** **

**11.
Which is not an equivalent ratio of 16/24 ? **

**(a)
6/9**

**(b)
12/18**

**(c)
10/15**

**(d)
20 /28**

**Answer:** (d) 20/28

** **

**12.
If ₹1600 is divided among A and B in the ratio 3 : 5 then, B’s share is **

**(a)
₹ 480 **

**(b)
₹ 800 **

**(c)
₹ 1000 **

**(d)
₹ 200 **

**Answer:** (c) ₹. 1000

** **

__Answers:__

__Exercise 3.2__

**1) (i) 15 (ii) 8 (iii) 12**

**2) (i) 36 inches, 6 Feet (ii) 14 days, 9 weeks**

**3) (i) False (ii) True **

**4) (i) 6 : 4, 9 : 6 (ii) 2 : 12, 3 : 18 (iii) 10 : 8, 15 : 12**

**5) (i) 4 : 5 is larger than 8 : 15 (ii) 7 : 8 is larger 3 : 4
(iii) 2 : 1 is larger than 1 : 2**

**6) (i) 12, 8 (ii) 12, 15 (iii) 12, 28**

**7) (i) Rs.2400 (ii) Rs.1600 **

**8) 27 cm, 36 cm**

**9) (a) 6**

**10) (d) 12 : 21**

**11) (d) 20/28**

**12) (c) Rs.1000**

Tags : Questions with Answers, Solution | Ratio | Term 1 Chapter 3 | 6th Maths , 6th Maths : Term 1 Unit 3 : Ratio and Proportion

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6th Maths : Term 1 Unit 3 : Ratio and Proportion : Exercise 3.2 | Questions with Answers, Solution | Ratio | Term 1 Chapter 3 | 6th Maths

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