Question
The selling price of an item when it is sold at a profit of
20% is Rs. 50 more than its selling price when it is sold at a loss of 15%. What should be the selling price of the item if it is sold at a profit of 30%?Solution
ATQ,
Let the cost price of the item = Rs. '100y'
According to the question,
100y × 1.20 - 100y × 0.85 = 50
Or, 120y - 85y = 35y = 50
So, y = (50/35) = 1.43
Cost price of the item = 1.43 × 100 = Rs. 143
Required selling price = 143 × 1.30 = Rs. 185.90
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