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 ?

Options

A. 854
B. 848
C. 798
D. 782

Explanation

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the number of boys after the decrease
Last year, there were 610 boys in the school. This year, the number of boys decreased by 20%.

To find the number of boys this year:
1. Calculate 20% of 610.
\[ \text{Decrease} = \frac{20}{100} \times 610 = 122 \]
2. Subtract the decrease from the original number of boys.
\[ \text{Boys this year} = 610 - 122 = 488 \]

### Step 2: Calculate the number of girls based on the number of boys
According to the problem, the number of girls is 175% of the total number of boys this year.

To find the number of girls:
1. Calculate 175% of 488.
\[ \text{Girls} = \frac{175}{100} \times 488 = 854 \]

### Final Answer
The total number of girls in the school this year is **854**.

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