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Q.

A book seller bought 200 textbooks for Rs.12000. He wanted to sell them at a profit so that he could get 24 books for free. At what profit percent should he sell them? 


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a

10 

b

11 

c

12 

d

13

answer is C.

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Detailed Solution

Concept: Here, we calculate the cost of one book. Later, we may calculate the profit by multiplying the cost of one book by the number of free books the customer receives. The profit percentage will then be easily calculated using the formula.
Here, the cost price (C.P.) of 200 textbooks is stated as being Rs.12,000 .
And now, using the unitary technique, we will determine the cost per book, C.P. for a single textbook.Question ImageAdditionally, it is stated in the question that he receives 24 books for free, therefore that is his profit.
By multiplying the cost of one book by the 24 books, we can determine the total profit.
i.e. Profit = C.P. of 24 textbooks Question ImageThe selling price (S.P.) will then be determined by increasing the cost of the books by the profit.
Question ImageS.P. of 200 textbooks = C.P. of 200 textbooks + C.P. of 24 textbooks = C.P. of 224 textbooks
Question Image S.P. of 224 textbooks Question ImageAnd we are aware that the profit percentage formula, i.e.
Question ImageNow we put the values in the formula we get,
Question ImageQuestion ImageHence, the correct answer is option 3
 
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