Question

Last year there were 610 boys in a school. The number decreased by 20 percent this year. How many girls are there in the school if the number of girls is 175 percent of the total number of boys in the school this year ?

• A. 854
• B. 848
• C. 798
• D. 782

Answer 1

The Correct Option is A

To solve this problem, we first need to calculate the current number of boys in the school after a 20% decrease from last year's number.

Step 1: Calculate the number of boys this year.

The school had 610 boys last year. A 20% decrease means:

Decrease in number of boys = 20% of 610 = 0.20 × 610 = 122

Number of boys this year = 610 - 122 = 488

Step 2: Calculate the number of girls this year.

The number of girls is 175% of the number of boys. Therefore:

Number of girls = 175% of 488 = 1.75 × 488

To find 1.75 × 488, perform the multiplication:

• 1.75 × 488 = 854

Therefore, the number of girls in the school this year is 854.