A person buys a brand new Honda bicycle for Rs.800/-. He uses it for a year…

2024

A person buys a brand new Honda bicycle for Rs.800/-. He uses it for a year and then sells it. He makes a profit of 10% in this transaction. Then again he buys a new cycle but finds that the price has gone up by 20 %. He uses it for a year and then sells it for a profit of 30%. Find the average annual profit of that the person.

  1. A.

    160

  2. B.

    184

  3. C.

    168

  4. D.

    172

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Correct answer: B

Solution:

  1. First transaction: cost price = Rs. 800. Selling price after 10% profit = 800 × 1.10 = Rs. 880, so first-year profit = Rs. 80.

  2. Second purchase: price increased by 20%, so new cost price = 800 × 1.20 = Rs. 960.

  3. Second transaction: selling at 30% profit gives selling price = 960 × 1.30 = Rs. 1248, so second-year profit = Rs. 288.

  4. Total profit over two years = 80 + 288 = Rs. 368.

  5. Average annual profit = 368 ÷ 2 = Rs. 184.

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