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The Price of an article is cut by 10%. To restore it to the former value, the new price must be increased by_______?

Correct answer: C. 11 1/9 %

  • A. 10 %
  • B. 9 1/11 %
  • C. 11 1/9 %
  • D. 11%

Explanation

Let the original price be Rs. 100; after a 10% cut, the new price is Rs. 90. To return to Rs. 100, the increase required is Rs. 10 / Rs. 90 x 100 = 11 1/9%. Option a, 10%, incorrectly calculates the increase relative to the original price instead of the reduced price.

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Percentages express a quantity as parts per hundred and support calculations involving increases, decreases, discounts, commissions, taxes, and successive changes. Questions require distinguishing percentage change from percentage points and identifying the original value when a final value and its percentage change are given.

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