280 students appeared for an interview, and 50% of girls and $6 \frac{1}{4} %$ of boys were declared successful. If such students are 25% on the whole, how many girls and boys appeared for the interview?

150 girls; 200 boys

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120 girls; 180 boys

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120 girls; 160 boys

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100 girls; 120 boys

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Solution

The correct option is C 120 girls; 160 boys
Given
Girls -50%
Boys $= 6 \frac{1}{4} % = \frac{25}{4}$
Total = 25%
Ratio of Girls : Boys =
$= (25 - \frac{25}{4}) : (50 - 25)$
$= \frac{100 - 25}{4} : 25$
$= \frac{75}{4} : 25$
$= 75 : 100$
$= 3 : 4$
According to options [c] $120 : 160$
$3 : 4$
i.e; 120 girls & 160 boys.

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280 students appeared for an interview, and 50% of girls and 614% of boys were declared successful. If such students are 25% on the whole, how many girls and boys appeared for the interview?

The correct option is C 120 girls; 160 boysGivenGirls -50%Boys =614%=254Total = 25%Ratio of Girls : Boys = =(25−254):(50−25)=100−254:25=754:25=75:100=3:4According to options [c] 120:1603:4i.e; 120 girls & 160 boys.

280 students appeared for an interview, and 50% of girls and $6 \frac{1}{4} %$ of boys were declared successful. If such students are 25% on the whole, how many girls and boys appeared for the interview?