Question
A number is first increased by 12% and then increased by
23%. The number, so obtained, is now decreased by 34%. What is the net increase or decrease percent in the original number (nearest to an integer)?Solution
Let the original number be 100. First increase (12%): 100 + 12% of 100 = 112 Second increase (23%): 112 + 23% of 112 = 112 × 1.23 = 137.76 Decrease (34%): 137.76 − 34% of 137.76 = 137.76 × 0.66 ≈ 90.92 Net change: (90.92−100)/100 × 100 ≈−9.08%
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