Question
After applying a discount of Rs. 120 on an item, it was
sold at a loss of 20%. If the ratio of the item's marked price to its selling price is 3:2, by what amount does the discount differ from the loss incurred on the item?Solution
ATQ, Let the cost price of article be Rs. 5a. So, selling price = 5a × 0.8 = Rs. 4a And, marked price = Rs. (4a + 120) ATQ: {4a/(4a + 120) } = 2:3 Or, 12a = 8a + 240 Or, a = 60 So, loss incurred = 5a - 4a = 'a' = Rs. 60 So, required difference = 120 - 60 = Rs.60
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