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?

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First apply the 20% decrease to last year's boys, then take 175% of that reduced number.
Updated On: Jul 16, 2026
  • 854
  • 848
  • 798
  • 782
Show Solution
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The Correct Option is A

Solution and Explanation

Step 1: Find the number of boys this year.
Number of boys last year \( = 610\).
The number decreased by \(20\%\) this year, so boys this year \( = 610 \times (1 - 0.20) = 610 \times 0.8 = 488\).

Step 2: Find the number of girls using the given percentage of boys.
Girls \( = 175\%\) of boys this year \( = 1.75 \times 488\).
\(1.75 \times 488 = 854\).

Final Answer:
The number of girls in the school is 854, so option A is correct. \[ \boxed{854} \]
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