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Question

# In a school of 720 students, the ratio of the no. of boys to the no. of girls is 3:5. If 18 new girls are admitted in the school, then find how many new boys may be admitted so that the ratio of the no. of boys to the no. of girls may change to 2:3.

A
84
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B
24
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C
63
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D
42
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Solution

## The correct option is D 42Sum of the terms in the given ratio is =3+5=8 So, no. of boys in the school = 720 × 38= 270 No. of girls in the school = 720 ×58 =450 Given that the number of new girls admitted in the school is 18 . Let x be the no. of new boys admitted in the school. After the above new admissions, No. of boys in the school =270+x No. of girls in the school =450+18=468 Given : The ratio after the new admission is 2:3. Then, we have (270+x):468=2:3 Use cross product rule:3(270+x)=468×2 810+3x=936 3x=126 x=42 So, the number of new boys admitted in the school is 42.

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