Question : The ratio of the number of boys to that of girls in a school is 11 : 15. If there are 200 more girls than boys, what is the number of boys in that school?
Option 1: 550
Option 2: 750
Option 3: 506
Option 4: 605
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Correct Answer: 550
Solution :
Let the number of boys be 11$x$ and girls be 15$x$
Difference = 15$x$ – 11$x$ = 4$x$
Given: Girls are 200 more than boys
4$x$ = 200
⇒ $x$ = 50
$\therefore$ Boys = 11$x$ = 11 × 50 = 550
Hence, the correct answer is 550.
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