Sohan purchased a horse for Rs.2000 and sold it to Mohan at a loss of 10…

2024

 Sohan purchased a horse for Rs.2000 and sold it to Mohan at a loss of 10 percent. Mohan sold it to Sham at a loss of 10 percent while sham sold it to Gopi at a gain of 10 percent. The amount Gopi paid for it would be (in Rupees)

  1. A.

    1782

  2. B.

    1458

  3. C.

    2178

  4. D.

    1862

Attempted by 21 students.

Show answer & explanation

Correct answer: A

Solution: Apply each percentage change to the current price in order.

  1. After Sohan sells to Mohan at a loss of 10%: 2000 × 0.9 = 1800

  2. Mohan sells to Sham at a loss of 10%: 1800 × 0.9 = 1620

  3. Sham sells to Gopi at a gain of 10%: 1620 × 1.1 = 1782

Alternative (single multiplication): 2000 × 0.9 × 0.9 × 1.1 = 2000 × 0.891 = 1782

Answer: Gopi paid Rs. 1782.

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