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A man purchases some oranges at the rate of 3 oranges for Rs.40 and the same quantity at 5 oranges for Rs.60. If he sells all the oranges at the rate of 3 for Rs.50, find his gain or loss percent (to the nearest integer)?Options32% Profit34% Loss31% Profit31% Loss

Question

A man purchases some oranges at the rate of 3 oranges for Rs.40 and the same quantity at 5 oranges for Rs.60. If he sells all the oranges at the rate of 3 for Rs.50, find his gain or loss percent (to the nearest integer)?Options32% Profit34% Loss31% Profit31% Loss

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Solution

The problem can be solved in the following steps:

Step 1: Calculate the cost price of the oranges The man buys oranges at two different rates:

  • 3 oranges for Rs.40, so the cost of one orange is Rs.40/3 = Rs.13.33
  • 5 oranges for Rs.60, so the cost of one orange is Rs.60/5 = Rs.12

Step 2: Calculate the selling price of the oranges The man sells all the oranges at the rate of 3 for Rs.50, so the selling price of one orange is Rs.50/3 = Rs.16.67

Step 3: Calculate the gain or loss The selling price is higher than the cost price, so the man makes a profit. The profit per orange is Rs.16.67 - Rs.13.33 = Rs.3.34 and Rs.16.67 - Rs.12 = Rs.4.67

Step 4: Calculate the profit percentage The profit percentage is the profit per orange divided by the cost price per orange, multiplied by 100. So, the profit percentage is Rs.3.34/Rs.13.33 * 100 = 25% and Rs.4.67/Rs.12 * 100 = 39%

So, the man makes a profit of approximately 32% (average of 25% and 39%). Therefore, the answer is 32% Profit.

This problem has been solved

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