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### Question 1

If a : b is 15 : 13, then what is (18a - 9b) : (19a - 2b)?

### Question 2

Two numbers A and B are in ratio 8 : 9. If they are both increased by 10%, what will be the new ratio of A : B?

### Question 3

If a : b is 16 : 11, then what is (21a - 3b) : (27a - 5b)?

### Question 4

A sum of Rs. 5100 is to be divided among three partners, P, Q and R, in the ratio 5 : 2 : 10. What is the difference between the shares of P and Q?

### Question 5

A mixture of milk and water contains 43 parts of milk and 9 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**

${17/43}$.

**B**

$1{3/7}$.

**C**

$2{13/45}$.

**D**

$3{11/45}$.

**Soln.**

**Ans: a**

Let the volume of the mixture be 43 + 9 = 52 liters. If x liters of the mixture is removed and replaced by water, the volume of water in the new mixture is $9 - {9x}/52 + x$. The volume of the milk in the new mixture would be $43 - {43x}/52.$ Equating the two volumes and solving for x we get x = ${52 × 34}/{2 × 43}$. The fraction that must be removed = $1/52$ × ${52 × 34}/{2 × 43}$, which gives $34/{2 × 43}$ = ${17/43}$.

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This Blog Post/Article "Ratio and Proportion Quiz Set 012" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-10-26.