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Question

The chairs in three rooms of an auditorium are in the ratio 2:3:5. If 20 chairs were added to each room, the ratio changes to 4:5:7. The total number of chairs in the auditorium before the increases was


A
90
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B
100
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C
150
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D
200
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Solution

The correct option is B 100
The number of chairs before increase is
2x+3x+5x
The number of chairs after increase
2x+3x+5x+60 = 4y+5y+7y
2x+20=4y (1
3x+20=5y (2
(2-(1
x = 10
Total number of chairs before increasep;
= 10×10=100

Numerical Aptitude

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