If goods are purchased for Rs. 450 and one-third is sold at a loss of 10%, at what profit percentage should the remainder be sold to gain 20% on the whole transaction? MCQ with Answer and Explanation
If goods are purchased for Rs. 450 and one-third is sold at a loss of 10%, at what profit percentage should the remainder be sold to gain 20% on the whole transaction?
A. 30%
B. 40%
C. 35%
D. 32%
Answer: Option C
Solution (By JKSSB Mock Tests)
Total cost = 450. Total desired SP = 450 * 1.2 = 540. CP of one-third = 150. SP of one-third at 10% loss = 150 * 0.9 = 135. Required SP for remainder = 540 - 135 = 405. CP of remainder = 300. Profit required = 405 - 300 = 105. Profit % = (105 / 300) * 100 = 35%.
Explanation:
When two items are sold at the same price, one at x% profit and the other at x% loss, the overall transaction results in a loss of (x^2)/100 %. Loss % = (10*10)/100 = 1%.
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