Select the correct answer112. A librarian purchased 60 story books for his library. But he found that he could get 4 extra books by spending Rs.336 more and then the overall average price per book would be reduced by Rupees 1. The previous average price of each books was?OptionsRs.83Rs.84Rs.68Rs.100
Question
Select the correct answer112. A librarian purchased 60 story books for his library. But he found that he could get 4 extra books by spending Rs.336 more and then the overall average price per book would be reduced by Rupees 1. The previous average price of each books was?OptionsRs.83Rs.84Rs.68Rs.100
Solution
To solve this problem, we need to understand that the average price of a book is the total cost divided by the number of books.
Step 1: Let's denote the original average price per book as 'x'. So, the total cost for 60 books would be 60x.
Step 2: The librarian could get 4 extra books by spending Rs.336 more. So, the total cost for 64 books would be 60x + 336.
Step 3: The new average price per book would be (60x + 336) / 64. According to the problem, this is equal to x - 1 (since the average price per book is reduced by Rs.1).
Step 4: Now we can set up the equation and solve for 'x': (60x + 336) / 64 = x - 1 Multiply both sides by 64 to get rid of the denominator: 60x + 336 = 64x - 64 Rearrange the equation: 4x = 400 Divide both sides by 4: x = 100
So, the previous average price of each book was Rs.100. Therefore, the correct answer is Rs.100.
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