Question
A book is sold at two different prices. When sold at a
loss of 22%, it fetches Rs. 165 less than when it is sold at a profit of 11%. What would be the selling price of the book if it is sold with a profit margin of 25%?Solution
Let the cost price of the book be Rs. '100y' ATQ: (100y X 1.11) - (100y X 0.78) = 165 Or, 111y - 78y = 165 Or, 33y = 165 So, 'y' = (165/33) = 5 So, cost price of the book = 5 X 100 = Rs. 500 Therefore, required selling price at a profit of 25%: = 100y X 1.25 = 100 X 5 X 1.25 = Rs. 625
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