A dealer sells 3 sets at Rs.2400 each ,one at 20% gain and the other at 20% loss. what is the overall gain or loss.
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Answer / Pulkit Sharma
Let the cost price of a set be CP. Then, we have the cost price for three sets = 3CP. If one set is sold at a 20% gain, then the selling price is (1 + 0.2) * CP = 1.2CP. Similarly, if another set is sold at a 20% loss, then the selling price is (1 - 0.2) * CP = 0.8CP. Therefore, the total selling price for all three sets is 1.2CP + 0.8CP + 2400 (the third set was sold at the original price). Since the cost price for three sets is also 3CP, we find that the overall gain or loss depends on whether the original price of a set is more than or less than 7200. If the original price is more than 7200, then the dealer makes a profit; otherwise, the dealer incurs a loss.
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