Question : The bar chart given below shows the number of boys and girls in 5 schools.
If the number of boys in school S6 is 30% more than the number of girls in school S1, then the number of girls in schools S3 and S4 is what percentage of the number of boys in schools S6 and S1?(correct to two decimal places)
Option 1: 110.92%
Option 2: 140.48%
Option 3: 124.62%
Option 4: 118.92%
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Correct Answer: 118.92%
Solution :
Let the number of girls in schools S3 and S4 be $y$% of the number of boys in schools S6 and S1.
According to the question,
Boys(S6) = 500 + 0.3(500) = 650
Girls(S3 + S4) = $y$ × Boys(S6 + S1)
⇒ 1800 + 400 = $y$ × (650 + 1200)
⇒ 2200 = $y$ × 1850
⇒ $y$ = 1.1892
⇒ $y$% = 118.92%
Hence, the correct answer is 118.92%.
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