A number is increased by 37.5%. By what % should it be decreased to get back the original number?
Explanation:
Let the number initially be 100.
New number after 37.5% increase = 137.5
Now, to get back the original number 100, new number 137.5 should be decreased by 37.5
∴ percentage change = (37.5/137.5) × 1000% = 27.27%
Alternately, Multiplication factor for an increase of 37.5% (3/8) = 1 + 3/8 = 11/8 ∴ Multiplication factor to get back the original number = Reciprocal of 11/85 = 8/11
∴ percentage change = (8/11 - 1) × 100% = -3/11 × 100% = - 27.27%
⇒ Decrease of 27.27%
Hence, option (d).
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