Multiple choice

Two articles are sold for Rs. 4752 each. On one, the seller gains 32% and on the other he loses 28%. What is his overall gain or loss percentage, correct to one decimal place?

  1. 7.3% gain

  2. 7.3% loss

  3. 6.8% loss

  4. 6.8% gain

  5. 7% loss
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Cost prices: CP1 = 4752 / 1.32 = 3600. CP2 = 4752 / 0.72 = 6600. Total CP = 10200. Total SP = 9504. Loss = 696. Loss % = (696 / 10200) * 100 = 6.82%.

AI explanation

Using the formula Cost Price equals Selling Price times 100 divided by (100 plus Profit or Loss Percentage), the cost prices of the two articles are 4752 divided by 1.32 and 4752 divided by 0.72, yielding Rs. 3600 and Rs. 6600 respectively. The total cost price is 3600 plus 6600, which is Rs. 10200, and the total selling price is 4752 times 2, yielding Rs. 9504. The overall loss is 10200 minus 9504, resulting in Rs. 696; dividing this by 10200 and multiplying by 100 gives an overall loss of 6.8 percent.

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