Multiple choice

Mr. Usman bought two goat each for Rs. 6,600. He sold both goats to Mr. Razak, one at a loss of 16 ⅔% and other at a profit of 33⅓%. Find his overall profit/loss percentage in this transaction.

  1. 6%

  2. 25/3%

  3. 16/3%

  4. 20/3%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

CP of each goat = 6600. Loss of 16 2/3% (1/6) on first: Loss = 6600/6 = 1100. Profit of 33 1/3% (1/3) on second: Profit = 6600/3 = 2200. Net profit = 2200 - 1100 = 1100. Total CP = 6600 + 6600 = 13200. Profit % = (1100 / 13200) * 100 = 100/12 = 25/3%.

AI explanation

The loss of 16 2/3% equals a multiplier of 5/6, so the selling price of the first goat is 6600 times 5/6, which is Rs 5500. The profit of 33 1/3% equals a multiplier of 4/3, making the selling price of the second goat 6600 times 4/3, which is Rs 8800. The total selling price is 5500 plus 8800, equaling Rs 14300, compared to a total cost price of 13200. The profit is 14300 minus 13200, equaling Rs 1100, so the overall profit percentage is (1100 divided by 13200) times 100, which is 25/3%.

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