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Select the correct answerA shopkeeper sold two articles for 9639 each. On one, he gained 19% and on the other, he lost 19%. What is the overall percentage gain or loss?Options3.61% gain3.81% loss3.81% gain3.61% loss

Question

Select the correct answerA shopkeeper sold two articles for 9639 each. On one, he gained 19% and on the other, he lost 19%. What is the overall percentage gain or loss?Options3.61% gain3.81% loss3.81% gain3.61% loss

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Solution

The answer is 3.61% loss.

Here's the step-by-step solution:

  1. Let's assume the cost price of the first article is x. So, the selling price with a gain of 19% is 1.19x. Given that 1.19x = 9639, we can find x = 9639 / 1.19 = 8100.

  2. Similarly, let's assume the cost price of the second article is y. So, the selling price with a loss of 19% is 0.81y. Given that 0.81y = 9639, we can find y = 9639 / 0.81 = 11900.

  3. The total cost price of the two articles is x + y = 8100 + 11900 = 20000.

  4. The total selling price of the two articles is 2 * 9639 = 19278.

  5. The loss is the difference between the cost price and the selling price, which is 20000 - 19278 = 722.

  6. The percentage loss is (loss / cost price) * 100 = (722 / 20000) * 100 = 3.61%.

So, the overall percentage is a loss of 3.61%.

This problem has been solved

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