Question
Megha purchased two items for Rs. 3,600. She sold one at
a profit of 25% and the other at a loss of 20%. If she makes an overall profit of 5%, find the cost price of the item sold at 20% loss.Solution
ATQ, Let cost price of the item sold at a profit of 25% = Rs. x Cost price of the item sold at a loss of 20% = Rs. (3600 − x) ATQ, (1.25 × x) + {0.80 × (3600 − x)} = 1.05 × 3600 Or, 1.25x + 2880 − 0.80x = 3780 Or, 0.45x = 900 So, x = 2000 Therefore, cost price of the item sold at a loss of 20% = 3600 − 2000 = Rs. 1,600
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