Multiple choice

The price of an article is increased by 10%; but to sell the article at the older price, the shopkeeper reduced the quantity. By what approximate percentage did the shopkeeper reduce the quantity of the article?

  1. 10%

  2. 9%

  3. 11%

  4. 8%

  5. Insufficient data
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

If price increases by 10%, the new price is 1.1P. To keep the total cost P, the quantity must be reduced by x such that (1 + 0.10)(1 - x) = 1. Solving gives 1 - x = 1/1.1 = 0.909, so x is approximately 9%.

AI explanation

Assuming the original price is Rs. 100 for 100 units, a 10% price increase makes the new price Rs. 110. To maintain the older price of Rs. 100, the quantity given is (100 / 110) multiplied by 100, which equals approximately 90.9 units. The reduction in quantity is 100 minus 90.9, resulting in 9.1 units. The approximate percentage reduction in quantity is 9%. The result is 9%.

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