Question
A number is first increased by 10% and then increased by
20%. The number, so obtained, is now decreased by 12%. What is the net increase or decrease per cent in the original number?Solution
Initial number: x  After 10% increase=1.10x  After 20% increase on new value 1.10x 1.20 = 1.32x  After a 12% decrease on the latest value 1.32 × 0.88 = 1.1616x Net change= 1.1616x -x =0.1616x Net increase percentage: 0.1616x/x× 100% = 16.16% Thus, the net increase in the original number is 16.16%.
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