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 100The 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

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