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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?
Rs.110
Rs.115
Rs.120
Rs.125
- The shopkeeper buys two books for a total of Rs. 300.
- Let the cost price of the first book be Rs. x. Therefore, the cost price of the second book will be Rs. (300 - x).
- The first book is sold at a profit of 20%. So, its selling price is 1.2 times its cost price, which is 1.2x.
- The second book is sold at a loss of 10%. So, its selling price is 0.9 times its cost price, which is 0.9(300 - x).
- The transaction results in no profit, no loss. So, total selling price should be equal to the total cost price.
- Therefore, 1.2x + 0.9(300 - x) = 300.
- Solving: 1.2x + 270 - 0.9x = 300.
- 0.3x = 30.
- x = 100.
- Selling price of the first book is 1.2 * 100 = Rs. 120.
- Answer: Rs. 120
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