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# The ratio between the number of boys and girls in a school is 4:5. If the number of boys are increased by 30% and the number of girls increased by 40 %, then what will the new ratio of boys and girls in the school.

The problem can be solved using ratio and percentage increase concepts.

## Answer: The new ratio of boys and girls in the school is 26:35.

Let's find the new ratio.

**Explanation:**

Let us consider the number of boys as 4x and the number of girls as 5x.

The increase in the number of boys is 30%

Hence, the updated number of boys is 4x + 30% of 4x = (4x) + (30/100)(4x) = 4x + 1.2x = 5.2x

The increase in the number of girls is 40%

Hence, the updated number of girls is 5x + 40% of 5x = (5x) + (40/100)(5x) = 5x + 2x = 7x

The new ratio of boys to girls is 5.2x : 7x = 52 : 70 = 26 : 35.

### Thus, the new ratio of boys and girls in the school is 26 : 35.

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