A librarian purchased 50 storybooks for his library But he saw…

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A librarian purchased 50 storybooks for his library. But he saw that he could get 14 books more by spending Rs. 76 more but per book average becomes Rs. 1 less. The average price (in Rs.) of each book he bought, was :

  1. A. 15
  2. B. 25
  3. C. 20
  4. D. 10

Answer: Option D

Here is complete explanation of A librarian purchased 50 storybooks for his library But he saw….

Solution(By ExamCraze Team)

Let the average price of 1 book = Rs. 1
According to the question,
$$eqalign{ & Rightarrow frac{{50x + 76}}{{left( {50 + 14} right)}} = left( {x - 1} right) cr & Rightarrow frac{{50x + 76}}{{64}} = x - 1 cr & Rightarrow 50x + 76 = 64x - 64 cr & Rightarrow 140 = 14x cr & Rightarrow x = {text{Rs}}{text{.}},10 cr} $$
Therefor average price of 1 book = Rs. 10

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