Question 55

A shopkeeper buys two books for Rs.300. He sells the first book at a profit of 20% and the second book at a loss of 10%. What is the selling price of the first book, if, in the whole transaction there is no profit no loss?

Solution

Let the cost price of first book be Rs.x.

Cost price of second book = 300 - x

According to question,

x $$\times \frac{120}{100} + (300 - x) \times \frac{90}{100} = 300$$

($$\because$$ There is no profit no loss.)

12x + (300 - x)9 = 3000

12x + 2700 - 9x = 3000

3x = 300

x = 100

Selling price of first book = 100 $$\times \frac{120}{100} = Rs.120

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