Multiple choice

Chetan purchased a watch and sold it to Abhay and made a profit of 10%, Abhay sold the same watch to Preet and made a profit of 25%. Preet sold that watch to Riya at a loss of 20%. Riya paid Rs. 616 for that watch. What would be the profit percentage for Chetan if Riya would have purchased that watch directly from him at the same price she has paid?

  1. 5%

  2. 10%

  3. 12%

  4. 15%

  5. 18%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Chetan's cost price be C. Abhay buys at 1.1C, Preet buys at 1.1C * 1.25 = 1.375C, Riya buys at 1.375C * 0.8 = 1.1C. Since 1.1C = 616, C = 560. If Riya bought from Chetan at 616, Chetan's profit is (616-560)/560 = 56/560 = 10%.

AI explanation

Let the initial cost price be 100, so Chetan's selling price to Abhay becomes 110, Abhay's selling price to Preet becomes 137.5, and Preet's selling price to Riya becomes 110 after the 20% loss. Since Riya pays 660, Chetan's original cost price is 600. If Chetan sells directly to Riya for 660, his profit is (660 minus 600) divided by 600, which equals 10%.

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