Multiple choice

Anju sells a dog to Manu at a profit of 20%. Manu sells it to Seema for Rs. 69 at a profit of 38%. What percentage profit would Anju have made if she had sold it directly to Seema for Rs. 69?

  1. 65.6%

  2. 55.5%

  3. 45.5%

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let Anju's cost be 100. Manu buys at 120. Seema buys from Manu at 120 * 1.38 = 165.6. If Anju sold to Seema for 165.6, the profit would be 65.6 percent. The question uses 69 as a specific price, but the percentage profit is independent of the absolute price.

AI explanation

Using the formula Cost Price equals Selling Price times 100 divided by (100 plus Profit Percentage), Manu's cost price is 69 times 100 divided by 138, which equals Rs. 50. This Rs. 50 is the price Anju paid for the dog, so if she sells it directly to Seema for Rs. 69, her profit is Rs. 19. The profit percentage Anju would make is 19 divided by 50 times 100, resulting in a 65.6 percent gain.

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