Ratio & Proportion

Q.

Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs. $50$ per metre and trouser material that costs him Rs. $90$ per metre. For every $3$ meters of the shirt material he buys $2$ metres of the trouser material. He sells the materials at $12\%$ and $10\%$ profit respectively. His total sale is Rs. $36,600$. How much trouser material did he buy?

Q.

In a school, the number of boys and girls are in the ratio of 4:7. If the number of boys is increased by 25% and the number of girls is increased by 15%, what will be the new ratio of the number of boys to that of girls?

1. 100:161
2. 100:151
3. None of these
4. 100:131
5. 100:181

Q. Rs 2250 is divided among three friends Amar, Bijoy and Chandra in such a way that $\frac{1}{6}th$ of Amar's share, $\frac{1}{4}th$ of Bijoy's share and $\frac{2}{5}th$ of Chandra's share are equal. Find Amar's share.

1. Rs 720
2. Rs 1080
3. Rs 450
4. Rs 1240

Q.

Rs 4830 is divided among Goutham, Sarosh and Vignesh such that if Goutham's share diminishes by Rs 5, Sarosh's share diminishes by Rs 10 and Vignesh's share diminishes by Rs 15, their shares will be in the ratio 5:4:3. Find Sarosh's original share?

1. 1600

2. 1610

3. 1200

4. 2000

5. 1510

Q. A, B and C invested capitals in the ratio 3:5:9; the timing of their investments being in the ratio 2 : 3 : 1. In what ratio would their profits be distributed?

1. 2 : 5 : 3
2. 3 : 2 : 5
3. Insufficient data
4. None of the above
5. 7 : 5 : 3

Q. Akbar and Birbal who purchased the shares for the cost of their basic salaries which are in the ratio of 5: 6. Later on company gave them 40 additional shares to each, due to which the ratio changed to 7 : 8. If the worth of each share is Rs. 75, what is the basic salary of the person who got less shares?

1. Rs. 10500
2. Rs. 7500
3. Rs. 9000
4. Rs. 8800

Q. A can contains a mixture of two liquids A and B in the ratio 7:5. When 9 litres of mixture is drawn off and the can is filled with B, the ratio of A and B becomes 7:9. Litres of liquid A contained by the can initially was:

1. None of these
2. 10
3. 20
4. 21
5. 25

Q. A, B and C enter into a partnership their shares are in the of ratio $\frac{1}{2}:\frac{1}{3}:\frac{1}{4}$. After 2 months, A withdraws half of his capital Atter 10 months, a profit of Rs 378 is divided among them. What is B's share?

1. None of these
2. Rs 144
3. Rs 156
4. Rs 168
5. Rs 129

Q.

A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture.

1. 10

2. 12

3. 6

4. 8

5. none

Q. The ratio of milk and water in the container is 3: 2 and when 10 litres of the mixture is taken out and is replaced by water the ratio becomes 2: 3. The total quantity of the mixture in the container is.

1. 15 ltr
2. 10 ltr
3. 12 ltr
4. 30 kg

Q. What is the ratio of the number of novels (romantic and horror) sold by store E to the total number of horror novels sold by stores C and F together?

1. 35 : 32
2. 45 : 32
3. 35 : 24
4. 35 : 26
5. 45 : 34

Q. Two trains A and B start from two places P and Q towards Q and P respectively. After passing each other they take 4 hours 48 minutes and 3 hours and 20 minutes to reach Q and P respectively. If the train from P is moving at 45 km/h then find the speed of another train.

1. 54 km/h
2. 64 km/h
3. 74 km/h
4. 72 km/h
5. 69 km/h

Q. A, B and C start a business. If the ratio of their periods of investments is 2 : 3 : 6 and their profits are in the ratio of 4 : 5 : 6, then which of the following is the ratio of capitals of A, B and C?

1. 10 : 12 : 6
2. 6 : 7 : 8
3. None of these
4. 6 : 8 : 10
5. 12 : 10 : 6

Q.

If the ratio of the ages of two friends A and B is ratio 3 : 5 and that of B and C is 3 : 5, and the sum of their ages is 147, then how old is B?

1. 45

2. 60

3. none

4. 15

5. 30

Q. A trader has 50 Kg of pulses, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. What is the quantity sold at 18% profit?

1. 25 Kg
2. 30 Kg
3. 20 Kg
4. None of the above
5. 40 Kg

Q.

A lady went shopping and spent half of what she had on buying hankies and gave a rupee to a beggar waiting outside the shop. She spent half of what was left on lunch and followed that up with a two rupee tip. She spent half of the remaining amount on the book and three rupees on bus fare. When she reached home, she found that she had exactly one rupee left. How much money did she start with?

Q.

Present ages of Sameer and Anand are in the ratio 5: 4 respectively. Three years hence the ratio of their ages will become 11:9 respectively. What is Anand's present age is years?

1. 24

2. 27

3. 40

4. Cannot be determined

5. 48

Q.

How many kgs of salt at 42p per kg must a man mix with 25 kgs of salt at 24p per kg so that he may, by selling the mixture at 40p per kg, gain 25$\%$ on the outlay?

1. 20

2. 24

3. 28

4. 40

5. 32

Q.

The monthly salaries of two persons are in the ratio of 4:7. If each receives an increase of Rs.25 in their salary, the ratio is altered to 3:5. Find their respective salaries.

1. 160, 280

2. 240, 420

3. none

4. 120, 210

5. 200, 350

Q. A dishonest milkman mixed 1 litre of water for every 3 litres of milk and thus made up 36 litres of milk. If he now adds 15 litres of milk to the mixture, find the ratio of milk and water in the new mixture.

1. 12 : 5
2. 9 : 4
3. 7 : 2
4. 14 : 3

Q.

There are coins of 25paise, 50paise and 1 rupee in a bag in which the amount of money from each type of coin is in the ratio 1:2:3 respectively. The total amount of money in the bag is Rs.90. What is the total number of coins in the bag?

1. 165

2. None of these

3. 150

4. 135

5. 180

Q.

The compounded ratio of (2 : 3), (6: 11) and (11 :2) is:

1. 1:2

2. 2:1

3. 11:24

4. 36:121

5. none

Q. A sum of money is divided among A, B, C and D in the ratio of 3:5:9:13 respectively. If the share of C is Rs. 2412 more than the share of A, then what is the total amount of money of B and D together?

1. Rs 4422
2. Rs. 6030
3. Rs. 4824
4. Rs. 7236
5. None of these

Q.

Tanya's grandfather was 8 times older to her 16 years ago. He would be 3 times her age 8 years from now. Eight years ago, what was the ratio of Tanya's age to that of her grandfather?

1. None of these

2. 3:8

3. 1:2

4. 1:5

Q. A and B started a business with initial investments in the ratio of 5:7. If, after one year, their profits were in the ratio of 1:2 and the period for A's investment was for 7 months, B invested the money for :

1. 4 months
2. $2\frac{1}{2}$ months
3. 6 months
4. 10 months
5. None of these

Q. A started a business with Rs. 52, 000 and after 4 months B joined him with Rs.39, 000. At the end of the year, out of the total profits B received total Rs. 20, 000 including $25\%$of the profits as commission for managing the business. The amount received by A is___

Q.

A 20L mixture of milk water is in the ratio 5:3. If 4L of this mixture is to be replaced by 4L of milk, the ratio of milk to water in the new mixture would be

1. 6 : 5

2. 7 : 3

3. 3 : 7

4. 5 : 6

5. None

Q.

The salary of two friends Ramu and Raju are in the ratio 4:5. If the salary of each one increases by Rs.6000, then the new ratio becomes 48:55. What is Raju's present salary?

1. 9500

2. 12500

3. None

4. 10500

5. 11500

Q.

A salesman sells two kinds of trousers: cotton and woollen. A pair of cotton trousers is sold at 30$\%$ profit and a pair of woollen trousers is sold at 50$\%$ profit. The salesman has calculated that if he sells 100$\%$ more woollen trousers than cotton trousers, his overall profit will be 45$\%$ . However, he ends up selling 50$\%$ more cotton trousers than woollen trousers. What will be his overall profit?

1. 40

2. 41

3. 37.5

4. None of these

5. 42.33

Q. A trader has 50 Kg of sugar, a part of which he sells at 10% profit and the rest at 5% loss. He gains 7% on the whole. What is the quantity sold at 10% gain and 5% loss?

1. 10 Kg, 35 Kg
2. 30 Kg, 20 Kg
3. None of the above
4. 25 Kg, 15 Kg
5. 40 Kg, 10 Kg