Arjun buys eggs at 9 for Rs. 16, and sells them at 11 for Rs. 20. What is his gain or loss percent?
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Arjun buys eggs at 9 for Rs. 16, and sells them at 11 for Rs. 20. What is his gain or loss percent?
3.84%
2.12%
2.27%
3.14%
5.26%
CP of 1 egg = 16/9. SP of 1 egg = 20/11. Profit = 20/11 - 16/9 = (180 - 176) / 99 = 4/99. Profit % = (4/99) / (16/9) * 100 = (4/99) * (9/16) * 100 = (1/11) * (1/4) * 100 = 100/44 = 2.27%.
Make the number of eggs equal by taking the LCM of 9 and 11, which is 99. The cost price of 99 eggs is (99 divided by 9) times 16, which equals Rs. 176. The selling price of 99 eggs is (99 divided by 11) times 20, which equals Rs. 180. Using the profit percentage formula, the profit is (180 minus 176) divided by 176, then multiplied by 100, giving a result of 2.27%.