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### Question 1

If X is 70% more than Z, and Y is 50% more than Z, what is the ratio of X to Y?

### Question 2

Two numbers M and N are in ratio 13 : 9. If they are, respectively, increased by 60% and 30%, what will be the new ratio of M : N?

### Question 3

A mixture of milk and water contains 11 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**

${1/11}$.

**B**

$1{1/5}$.

**C**

$1{10/13}$.

**D**

$2{8/13}$.

**Soln.**

**Ans: a**

Let the volume of the mixture be 11 + 9 = 20 liters. If x liters of the mixture is removed and replaced by water, the volume of water in the new mixture is $9 - {9x}/20 + x$. The volume of the milk in the new mixture would be $11 - {11x}/20.$ Equating the two volumes and solving for x we get x = ${20 × 2}/{2 × 11}$. The fraction that must be removed = $1/20$ × ${20 × 2}/{2 × 11}$, which gives $2/{2 × 11}$ = ${1/11}$.

### Question 4

What is the ratio A : B : C if A = $7/9$B and B = $18/17$C?

**A**

14 : 18 : 17.

**B**

7 : 18 : 17.

**C**

9 : 18 : 17.

**D**

7 : 17 : 126.

**Soln.**

**Ans: a**

We can write B = $9/7$A. Now we can use B as the pivot and write $9/7$A = B = $18/17$C. Divide all three with 9 × 18 to get $A/{7 × 18}$ = $B/{9 × 18}$ = $C/{17 × 9}$. So the required ratio is 126 : 162 : 153. The answer is 14 : 18 : 17.

### Question 5

A sum of Rs. 16100 is to be divided among three partners, P, Q and R, in the ratio 11 : 9 : 3. What is the difference between the shares of P and Q?

### More Chapters | See All...

Deductive Reasoning | Venn Diagrams | Boats and Streams | Alphabet Number Series | Data Sufficiency | Partnerships | Ratio and Proportion | Square and Cube Roots | Averages | Surds and Indices | More...

This Blog Post/Article "Ratio and Proportion Quiz Set 020" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-05-17.