Multiple choice

Aaradhya sold an article to Bhavna at a gain of 10%. Bhavna sold it to Chhavi at a 12% gain. Chhavi sold the same to Dhruva at a loss of 22%. If Dhruva paid Rs. 720.72 for the article, what is the cost price for Aaradhya?

  1. 750

  2. 740.40

  3. 700

  4. 720.72

  5. 760
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A Correct answer
Explanation

Work backwards from Dhruva's price. Chhavi sold at 22% loss, so Chhavi's price = 720.72 / 0.78 = 924. Chhavi bought at 12% gain from Bhavna, so Bhavna's price = 924 / 1.12 = 825. Bhavna bought at 10% gain from Aaradhya, so Aaradhya's cost = 825 / 1.10 = 750.

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