### The ratio between the number of males and females in a college is 21:22. If the number of males are increased by 20% and the number of female increased by 30%. What is new ratio of males and females in the college?

a) 127:143

b) 125:143

c) 128:143

d) 126:143

**Ans : d) 126:143**

UP Police SI Exam Paper : Mathematics

### Solution

Let the initial number of males be ( 21x ) and the initial number of females be ( 22x ), where ( x ) is a common multiplier.

### Step 1: Calculate the increased number of males.

The number of males is increased by 20%, so the new number of males becomes:

New number of males =

### Step 2: Calculate the increased number of females.

The number of females is increased by 30%, so the new number of females becomes:

New number of females =

### Step 3: Calculate the new ratio.

The new ratio of males to females is:

New ratio =

New ratio =

Thus, the new ratio of males to females is ( 126:143 ).