If the base of a rectangular is increased by 10% and the area is unchanged , the

Question

If the base of a rectangular is increased by 10% and the area is unchanged , then the corresponding altitude must to be decreased by?

Options:

A . 111/9 %

B . 91/11 %

C . 11%

D . 10%

Answer: Option B

Let base = b and altitude = h Then, Area = b x h But New base = 110b / 100 = 11b / 10Let New altitude = HThen, Decrese = (h - 10h /11 )= h / 11? Required decrease per cent = (h/11) x (1 / h ) x 100 %= 91/11 %

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