# Ratio and Proportion

### Two glasses of equal volume are respectively half and three-fourths filled

Two glasses of equal volume are respectively half and three-fourths filled with milk. They are then filled to the brim by adding water. Their contents are then poured into another vessel. What will be the ratio of milk to water in this vessel?

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

### In a rare coin collection, there is one gold coin

In a rare coin collection, there is one gold coin for every three non-gold coins. 10 more gold coins are added to the collection and the ratio of gold coins to non-gold coins would be 1:2. Based on the information; the total number of corns in the collection now becomes

1. 90
2. 80
3. 60
4. 50

### The costs of two articles are in the ratio 3:5

The costs of two articles are in the ratio 3:5. If there is 30% loss on the first article and 20% gain on the second article, what is the overall percentage of loss or gain?

1. 2% loss
2. 2.25% gain
3. 5.25% loss
4. 1.25% gain

### Two numbers are in the ratio 3:5. If 9 is subtracted from each number

Two numbers are in the ratio 3:5. If 9 is subtracted from each number, then they are in the ratio of 12:23. What is the second number?

1. 44
2. 55
3. 66
4. 77

### Age of X is 6 times that of Y. After 4 years

Age of X is 6 times that of Y. After 4 years, X is 4 times elder to Y. What is the present age of Y?

1. 4 yr
2. 5 yr
3. 6 yr
4. 7 yr

### In a certain school, the ratio of boys and girls is 7 : 5

In a certain school, the ratio of boys and girls is 7 : 5. If there are 2400 students in the school, then how many girls are there?

1. 500
2. 700
3. 800
4. 1000

### The rabbit population in community A increases at 25% per year

The rabbit population in community A increases at 25% per year while that in community B increases at 50% per year. If the present populations of A and B are equal, what will he the ratio of the number of rabbits in community B to that in community A after 2 years?

1. 1.44
2. 1.72
3. 1.90
4. 1.26

### The areas of two circular fields are in the ratio 16 : 49

The areas of two circular fields are in the ratio 16 : 49. If the radius of the bigger field is 14 m, then what is the radius of the smaller field?

1. 4 m
2. 8 m
3. 9 m
4. 10 m

### The angles of a triangle are in the ratio 2:4:3. The smallest angle of the triangle is

The angles of a triangle are in the ratio 2:4:3. The smallest angle of the triangle is

1. 20°
2. 40°
3. 50°
4. 60°

### The ratio of two numbers is 1:5 and their product is 320

The ratio of two numbers is 1:5 and their product is 320. What is the difference between the squares of these two numbers?

1. 1024
2. 1256
3. 1536
4. 1640

### In a class of 49 students, the ratio of girls to boys is 4:3

In a class of 49 students, the ratio of girls to boys is 4:3. If 4 girls leave the class, the ratio of girls to boys would be

1. 11:7
2. 8:7
3. 6:5
4. 9:8

### The cost of a diamond varies directly as the square of its weight

The cost of a diamond varies directly as the square of its weight. A diamond broke into four pieces with their weights in the ratio of 1:2:3:4. If the loss in total value of the diamond was the ₹ 70,000, what was the price of the original diamond?

1. ₹ 1,00,000
2. ₹ 1,40,000
3. ₹ 1,50,000
4. ₹ 1,75,000

### The monthly incomes of Peter and Paul are in the ratio of 4:3

The monthly incomes of Peter and Paul are in the ratio of 4:3. Their expenses are in the ratio of 3:2. If each saves Rs. 6,000 at the end of the month, their monthly incomes respectively are (in Rs.)

1. 24,000 and 18,000
2. 28,000 and 21,000
3. 32,000 and 24,000
4. 34,000 and 26,000

### Two equal glasses of same type are respectively 1/3 and 1/4 full

Two equal glasses of same type are respectively 1/3 and 1/4 full of milk. They are then filled up with water and the contents are mixed in a pot. What is the ratio of milk and water in the pot?

1. 9 : 21
2. 11 : 23
3. 7 : 17
4. 1 : 3

### In a 500 metres race, B starts 45 metres ahead of A

In a 500 metres race, B starts 45 metres ahead of A, but A wins the race while B is still 35 metres behind. What is the ratio of the speeds of A to B assuming that both start at the same time?

1. 25:20
2. 25:21
3. 5:7
4. 5:3