1.

A number is increased first by 20% and then it is decreased by 10%. What is the percentage change in the number?1). 8% decrease2). 10% decrease3). 10% increase4). 8% increase

Answer»

LET the number be x

After INCREASING by 20%, x’ = x + 0.2x = 1.2x

After decreasing by 10%, x’’ = 1.2x - 0.1 × 1.2x = 1.08x

Clearly it is a % increase.

⇒ % increase = [(1.08x - x)/x] × 100 = 8% increase


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