Comparing Quantities : Introduction

Q.

In a class A of 25 students, 20 passed in first class; in another class B of 30 students, 24 passed in first class. In which class was a greater fraction of students getting first class?

Q.

$6$ bowls costs $Rs90$. What would be the cost of $10$ such bowls

Q.

Question 63

Samira sells newspapers at Janpath crossing daily. On a particular day, she had 312 newspapers out of which 216 were in English and remaining in Hindi. Find the ratio of

a) The number of English newspapers to the number of Hindi newspapers.

b) The number of Hindi newspapers to the total number of newspapers.

Q.

Question 55

Ramesh earns Rs. 28000 per month. His wife Rama earns Rs. 36000 per month. Find the ratio of
(a) Ramesh's earning to their total earning.
(b) Rama's earning to their total earning.

Q. Question 1 (b)
Find the ratio of the following:
50 m to 10 km

Q. If 4 : 6 : : 8 : d, then find d.

1. 10
2. 8
3. 12
4. 14

Q.

Question 5(b) :

Complete the addition – subtraction box:

Q.

A train running at 2 by 5 of its own speed reached a place in 15 minutes. In what time will it reach there running at its own speed?

Q.

The cost of 20 envelopes is ₹50. How many envelopes can be purchased for ₹10?

1. 1

2. 2

3. 3

4. 4

Q.

The number of boys and girls in a class are in the ratio 8 : 7. The number of boys is 15 more than the number of girls. What is the total class strength? [2 MARKS]

Q. If 4 : 6 : : 8 : d, then find d.

1. 12

Q.

We can compare any two quantities. State True or False.

1. True

2. False

Q.

We can compare any two quantities. (True/False)?

1. True

2. False

Q. Do the ratio $15$ cm to $12$ m and $10$ sec to $3$ minutes form a proportion?

Q.

Are $\frac{2}{5}$ and $\frac{2}{7}$ equivalent? If yes, Given reason

Q.

Are $\frac{2}{9}$ and $\frac{6}{27}$ equivalent? If yes, Given reason

Q.

Solve the following.

The ratio of copper to the zinc in an alloy is 5 : 3. The weight of copper in the alloy is 30g. Find the weight of zinc.

Q. If 4 : 6 : : 8 : d, then find d.

1. 12

Q.

Question 25

State whether the given statements are true (T) or false (F).

The ratio of 10 kg to 100 kg is 1 : 10

Q.

Ram can run 3 times faster than Rahul. If Rahul's speed is 5 km/hr. Then speed of Ram is ___ km/hr.

Q.

Solve the following.

The ratio of income to the savings of a family is 7 : 1. Find the savings, if the income is Rs.1, 400.

Q.

One day Rashi travelled 6 km whereas Soham travelled only 5000 m. What will be the ratio of their distances travelled?
[2 MARKS]

Q.

Arrange the following ratios in descending order.

$(5:6),(7:8),(9:10)$

Q.

Find the ratio of 5 km to 500 m.

1. 10 : 1

2. 1 : 100

3. 100 : 1

4. 1 : 1000

Q. Compare which ratio is greater?

Q. Some 1 rupee, 50 paisa and 25 paise coins make up Rs.93.75. The number of these coins are in the ratio 3 : 4 : 5. The number of coins of each denomination respectively are:

1. 40, 70, 75
2. 46, 58, 75
3. 42, 56, 70
4. 45, 60, 75

Q.

A bag contains 2 pink, 3 red and 5 blue balls. Find the ratio of pink balls to the total number of balls.

1. 5:1

2. 1:5

3. 10:2

4. 2:10

Q. The boys and the girls in a school are in the ratio 7 : 4. If total strength of the school be 550, find the number of boys and girls.

Q. If the ratios 2 : 4 and 6 : 𝑥 are in proportion, what is the value of 𝑥?

1. 12
2. 8
3. 4
4. 16

Q. Write the following ratios in decreasing order $4:7,5:14,3:14,1:3$ ?