6th Maths : Term 1 Unit 3 : Ratio and Proportion : Unitary Method : Exercise 3.4 : Text Book Back Exercises Questions with Answers, Solution

__Exercise
3.4__

** **

**1.
Fill in the blanks.**

**(i)
If the cost of 3 pens is ₹ 18, then the cost of 5 pens is __________. **

**(ii)
If Karkuzhali earns ₹ 1800 in 15 days, then she earns ₹ 3000 in __________days. **

** **

**2.
Say True or False.**

**(i)
If the weight of 40 books is 8 kg, then
the weight of 15 books is 3kg.**

**(ii)
A car travels 90 km in 3 hours with constant
speed. It will travel 140 km in 5 hours
at the same speed.**

** **

**3.
If a person reads 20 pages of a book in 2 hours, how many pages will he read in
8 hours at the same speed?**

**Solution:**

2 hours reading no. of pages = 20

In 1 hour, reading = 20/2

In 8 hours reading = 20/2 × 8 = 80

In 8 hours he read = 80 pages

** **

**4.
The cost of 15 chairs is ₹ 7500. Find the number of such chairs that can be purchased
for ₹ 12,000?**

**Solution:**

The cost of 15 chairs = ₹.7500

Fractional form = 15/7500

For Rs. 12,000 no. of chairs = 15/7500 × 12000

= 120/5 = 24

For ₹. 12,000 no. of chairs = 24 chairs.

** **

**5.
A car covers a distance of 125 km in 5
kg of LP Gas. How much distance will it
cover in 3 kg of LP Gas?**

**Solution:**

A car covers 125 km by using gas of = 5 kg

For 1 kg gas = 125/5

For 3 kg gas = 125/5 × 3

= 75 km

The distance covers for 3 kg gas = 75 km

** **

**6.
Cholan walks 6 km in 1 hour at constant
speed. Find the distance covered by him in 20 minutes at the same speed.**

**Solution:** Cholan walks 6 km in 1 hour =
60 minutes

for 1 minute = 6/60

for 20 minute = 6/60 × 20

for 20 minutes he walk = 2 km

** **

**7.
The number of correct answers given by Kaarmugilan and Kavitha in a quiz competition
are in the ratio 10 : 11. If they had scored a total of 84 points in the competition,
then how many points did Kavitha get?**

**Solution:**

Kaarmugilan : Kavitha = 10 : 11

Total score = 84 points

Total parts = 10 + 11

= 21

For 1 part = 84/21 = 4
points

Kavitha Score = 11 parts

11 parts = 11 × 4

= 44 points

Kavitha Scored = 44 points.

** **

**8.
Karmegan made 54 runs in 9 overs and Asif made 77 runs in 11 overs. Whose run rate
is better? (run rate = ratio of runs to overs)**

**Solution:**

Karmegan run rate = 54 : 9

For one over = 54/9 = 6

Asif run rate = 77 : 11

For one over = 77/11 = 7
i.e., 7 > 6

Asif run rate is better than Karmegan.

** **

**9.
You purchase 6 apples for ₹ 90 and your friend purchases 5 apples for ₹ 70. Whose
purchase is better?**

**Solution:**

My purchase 6 apples = Rs.90

Friend purchase 5 apples = Rs.70

One apple cost = 90/6 & 70/5

= 15 > 12

My friend’s rate of purchase is better than me.

** **

**Objective
Type Questions**

** **

**10.
If a barbie doll costs ₹ 90, then the cost of 3 such dolls is ₹ ___________.**

**(a)
260**

**(b)
270 **

**(c)
30**

**(d)
93**

**Answer:** (b) 270

** **

**11.
If 8 oranges cost ₹ 56, then the cost of 5 oranges is ₹ ___________.**

**(a)
42 **

**(b)
48 **

**(c)
35 **

**(d)
24**

**Answer:** (c) 35

** **

**12.
If a man walks 2 km in 15 minutes, then
he will walk ___________ km in 45 minutes.**

**(a)
10 **

**(b)
8**

**(c)
6 **

**(d)
12**

**Answer:** (c) 6

** **

__Answers:__

__Exercise 3.4__

**1) (i) Rs.30 (ii) 25 days**

**2) (i) True (ii) False**

**3) 80 Pages**

**4) 24 Chairs**

**5) 75 km**

**6) 2 km**

**7) 44 points**

**8) Asif’s run rate is better**

**9) My friend’s rate of purchase is better than me.**

**10) (b) 270**

**11) (c) 35**

**12) (c) 6 km**

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

Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail

6th Maths : Term 1 Unit 3 : Ratio and Proportion : Exercise 3.4 | Questions with Answers, Solution | Unitary Method | Term 1 Chapter 3 | 6th Maths

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