Uses of ratios and proportions

Q.

The areas of two squares are in the ratio $25:36$. What is the ratio of their perimeters? Express your answer in the form $\mathrm{a}:\mathrm{b}$.

Q. The areas of two squares ABCD and PQRS are in the ratio of 4:9. If the area of ABCD is 144sq cm, then find the perimeter of PQRS.

1. 17 cm
2. 72 cm
3. 68 cm
4. 38 cm

Q. If ₹60 is divided into two parts in the ratio 1:3, then find the difference between those two parts.

1. ₹60
2. ₹50
3. ₹30
4. ₹40

Q. If an amount of ₹100 is to be given to A and B in the ratio 2 : 3, find A's share.

1. ₹40
2. ₹60
3. ₹80
4. ₹50

Q.

20 pens are divided between A and B in the ratio 3:2. Find their respective shares.

1. 8, 12

2. 10, 10

3. 12, 8

4. 6, 14

Q. If 1 kg of sugar costs ₹15, then the cost of 5 kg of sugar is .

1. ₹75
2. ₹45
3. ₹55

Q.

The ratio of weights of zinc and copper in an alloy is 5:8. If the weight of copper in a sample of this alloy is 12 g, what is the weight of zinc?

1. 6.5 g

2. 6 g

3. 7 g

4. 7.5 g

Q.

There are 1800 students in a school. 800 chose football, 750 chose basketball and the remaining did not choose any game. A student can choose only one game. Find the ratio of the number of students who chose football to the number of students who did not choose any game.

1. 16:5

2. 16:20

3. 800:250

4. 16:15

Q. Aditya's age is 50 years old and his brother is 30 years old. What is the ratio of their ages when Aditya's age was 30 years?

1. 4: 11
2. 1:3
3. 3:1
4. 4:5

Q.

The ratio of the number of boys to the number of girls in a tutorial is 2:3. If there are 180 girls, what is the number of boys?

1. 36

2. 60

3. 120

4. 100

Q.

There are 1800 students in a school. 800 selected football, 750 selected basketball and the remaining selected cricket. Find the ratio of the total number of students to the number of students who selected cricket.

1. 26 : 5

2. 36 : 5

3. 16 : 25

4. 12 : 1

Q.

Anita is $42$ years old and her niece is $14$ years old presently. Estimate the ratio of Anita's age to her niece's age after $10$ years.

1. $12:13$
2. $6:13$
3. $13:6$
4. $6:5$