# Ratio and Proportion

### Two types of tea, A and B, are mixed and then sold at Rs. 40 per kg

Two types of tea, A and B, are mixed and then sold at Rs. 40 per kg. The profit is 10% if A and B are mixed in the ratio 3 : 2, and 5% if this ratio is 2 : 3. The cost prices, per kg, of A and B are in the ratio

1. 18 : 25
2. 19 : 24
3. 21 : 25
4. 17 : 25

### Raju and Lalitha originally had marbles in the ratio 4:9

Raju and Lalitha originally had marbles in the ratio 4:9. Then Lalitha gave some of her marbles to Raju. As a result, the ratio of the number of marbles with Raju to that with Lalitha became 5:6. What fraction of her original number of marbles was given by Lalitha to Raju?

1. 1/4
2. 7/33
3. 1/5
4. 6/19

### A fraction, which bears the same ratio to 1/27, that 3/11 does to 5/9

A fraction, which bears the same ratio to 1/27, that 3/11 does to 5/9, is equal to

1. 1/11
2. 3/11
3. 1/55
4. 55

### A, B and C enter into a partnership and their shares are in ratio 1/2 : 1/3 : 1/4

A, B and C enter into a partnership and their shares are in ratio 1/2 : 1/3 : 1/4, after 2 months, A withdraws half of his capital and after 10 months, a profit of Rs 378 is divided among them. What is B's share?

1. Rs 124
2. Rs 144
3. Rs 156
4. Rs 165

### From each of the two given numbers, half the smaller number is subtracted

From each of the two given numbers, half the smaller number is subtracted. Of the resulting numbers the larger one is three times as large as the smaller. What is the ratio of the two numbers?

1. 2 : 3
2. 3 : 2
3. 3 : 1
4. 2 : 1

### In a certain examination, the number of students who passed, was three times

In a certain examination, the number of students who passed, was three times the number of those who were rejected. If there had been 16 fewer candidates and if six more had been rejected, the number of those who passed and of those who were rejected would have been in the ratio 2 : 1. Find the number of candidates?

1. 120
2. 130
3. 136
4. 156

### The sum of three numbers is 98. If the ratio of the first to the second is 2:3

The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8, then the second number is

1. 20
2. 30
3. 48
4. 58

### A milkman mixes 20 litres of water with 80 litres of milk. After selling one-fourth

A milkman mixes 20 litres of water with 80 litres of milk. After selling one-fourth of this mixture, he adds water to replenish the quantity that he had sold. What is the current proportion of water to milk?

1. 3 : 4
2. 2 : 3
3. 1 : 3
4. 1 : 2

### A milkman mixes 20 L of water with 80 L of milk. After selling one-fourth of this mixture

A milkman mixes 20 L of water with 80 L of milk. After selling one-fourth of this mixture, he adds water to replenish the quantity that he has sold. What is the current proportion of water to milk?

1. 2 : 3
2. 1 : 2
3. 1 : 3
4. 2 : 1

### If a, b, c are three positive integers such that a and b are in the ratio 3:4

If a, b, c are three positive integers such that a and b are in the ratio 3 : 4 while b and c are in the ratio 2 : 1, then which one of the following is a possible value of (a + b + c)?

1. 201
2. 205
3. 207
4. 210

### A can contains a mixture of two liquids A and B is the ratio 7:5

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

1. 10
2. 20
3. 21
4. 25