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Question

# The ratio of number of boys of that of girls in a school of 720 students is 7:5. How many girls should be admitted to make the ratio 1:1?

A
90
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B
120
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C
220
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D
100
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Solution

## The correct option is B 120Given ratio of boys to girls in a school is 7:5 with total students 720.Let present boys be b and girls be g and the girls to be admitted to make ratio 1:1 be ga.b=7k,g=5k .....(Given)Thus total=b+g=720⇒b+g=7k+5k=720⇒12k=720⇒k=72012=60We know b=7k=420and g=5k=300b=g+ga .....(Given ratio is 1:1 after admitting)ga=b−gga=420−300=120Therefore, 120 girls are to be admitted to make the ratio of boys to girls 1:1Option (B) is correct

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