Multiple choice

A fruit-seller buys oranges at $4$ for Rs. $3$ and sell them at $3$ for Rs. $4$. Find his profit percentage.

  1. $77\, \displaystyle \frac {7}{9}\%$
  2. $75\, \displaystyle \frac {9}{7}\%$
  3. $77\, \displaystyle \frac {9}{7}\%$
  4. $75\, \displaystyle \frac {7}{9}\%$
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A Correct answer
Explanation

Cost price of 1 orange is 3/4 = 0.75. Selling price of 1 orange is 4/3 = 1.333. Profit per orange is 4/3 - 3/4 = 7/12. Profit percentage = (Profit / CP) * 100 = ((7/12) / (3/4)) * 100 = (7/9) * 100 = 77 7/9%.

AI explanation

Assume the fruit-seller buys 12 oranges, so the cost price is 3 * (12 / 4) = Rs. 9. The selling price of these 12 oranges is 4 * (12 / 3) = Rs. 16. Using the profit percentage formula, ((16 - 9) / 9) * 100 = (7 / 9) * 100, which is 77 7/9%.

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