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Select the correct answerA man sells three articles X, Y and Z for Rs.1386 each. He sells article X at 12.5% loss, article Y at 10% profit if there is no profit nor loss in whole transaction. Find the CP of article Z?OptionsRs.1413Rs.1314Rs.1232Rs.1112

Question

Select the correct answerA man sells three articles X, Y and Z for Rs.1386 each. He sells article X at 12.5% loss, article Y at 10% profit if there is no profit nor loss in whole transaction. Find the CP of article Z?OptionsRs.1413Rs.1314Rs.1232Rs.1112

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Solution

To solve this problem, we first need to understand that the total cost price (CP) of all three articles is equal to the total selling price (SP) since there is no profit or loss in the whole transaction.

Given that each article is sold for Rs.1386, the total SP is Rs.1386 * 3 = Rs.4158.

The SP of article X is given as a 12.5% loss. This means the CP of X is Rs.1386 / (1 - 0.125) = Rs.1584.

The SP of article Y is given as a 10% profit. This means the CP of Y is Rs.1386 / (1 + 0.10) = Rs.1260.

Now, we can find the CP of article Z by subtracting the CP of X and Y from the total CP (which is equal to the total SP).

So, CP of Z = Total SP - CP of X - CP of Y = Rs.4158 - Rs.1584 - Rs.1260 = Rs.1314.

Therefore, the correct answer is Rs.1314.

This problem has been solved

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