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### Question 1

Two numbers M and N are in ratio 17 : 2. If they are, respectively, increased by 30% and 70%, what will be the new ratio of M : N?

### Question 2

A mixture of milk and water contains 14 parts of milk and 1 parts of water. How much fraction of the mixture should be removed and replaced by water so that ratio of water and milk becomes equal?

**A**

${13/28}$.

**B**

$1{14/27}$.

**C**

$2{3/10}$.

**D**

$3{7/30}$.

**Soln.**

**Ans: a**

Let the volume of the mixture be 14 + 1 = 15 liters. If x liters of the mixture is removed and replaced by water, the volume of water in the new mixture is $1 - {1x}/15 + x$. The volume of the milk in the new mixture would be $14 - {14x}/15.$ Equating the two volumes and solving for x we get x = ${15 × 13}/{2 × 14}$. The fraction that must be removed = $1/15$ × ${15 × 13}/{2 × 14}$, which gives $13/{2 × 14}$ = ${13/28}$.

### Question 3

Two numbers are in the ratio 2 : 7. If both are decreased by 18, the new ratio becomes 8 : 73. What is the first number?

### Question 4

If a : b is 8 : 5, then what is (8a - 5b) : (9a - 6b)?

### Question 5

A 350 liter mixture of milk and water contains 78% milk. How many more liters of water should be added so that the proportions of milk and water become equal?

**A**

196 liter.

**B**

197 liter.

**C**

195 liter.

**D**

199 liter.

**Soln.**

**Ans: a**

The volume of milk will remain same at ${78 × 350}/100$ = 273 liters. The amount of water at present is 350 - 273 = 77 liters. We need to make the volume of water equal to that of the milk. So we have to add 273 - 77 = 196 liters of water.

This Blog Post/Article "Ratio and Proportion Quiz Set 013" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-05-17.