If goods are purchased for Rs. 840 and one-fourth of them are sold at a loss of 20%, 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. 840 and one-fourth of them are sold at a loss of 20%, at what profit percentage should the remainder be sold to gain 20% on the whole transaction?
A. 30%
B. 35%
C. 33.33%
D. 28.33%
Answer: Option C
Solution (By JKExamLibrary)
Total Cost Price = 840. Target Selling Price = 840 * 1.20 = 1008. Cost Price of one-fourth = 210. Selling Price of this part = 210 * 0.80 = 168. Remaining Selling Price needed = 1008 - 168 = 840. Cost Price of remainder = 630. Profit required on remainder = 840 - 630 = 210. Profit percentage = (210 / 630) * 100 = 33.33%.
Explanation:
The dealer saves 100 grams on every 900 grams given to the customer. Profit Percentage = (Error / True Value - Error) * 100 = (100 / 900) * 100 = 11.11%.
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