The average price of 10 books is Rs 12 while the…

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The average price of 10 books is Rs.12 while the average price of 8 of these books is Rs. 11.75. Of the remaining two books, if the price of one book is 60% more than the price of the other, what is the price of each of these two books?

  1. A. Rs. 5, Rs.7.50
  2. B. Rs. 8, Rs. 12
  3. C. Rs. 10, Rs. 16
  4. D. Rs. 12, Rs. 14

Answer: Option C

Here is complete explanation of The average price of 10 books is Rs 12 while the….

Solution(By ExamCraze Team)

Total cost of 10 books = Rs. 120
Total cost of 8 books = Rs. 94
⇒ The cost of 2 books = Rs. 26
Let the price of each book be x and y.
⇒ x + y = 26 - - - - - -(1)
Given that the price of 1 book is 60% more than the other price
$$eqalign{ & left( {frac{{160}}{{100}}} right)y + y = 26 cr & Rightarrow yleft( {frac{{160}}{{100}} + 1} right) = 26 cr & Rightarrow yleft( {frac{{160 + 100}}{{100}}} right) = 26 cr & Rightarrow y = frac{{left( {26 times 100} right)}}{{260}} cr & Rightarrow y = 10 cr & {text{Substituting}},,y = 10,,{text{in }}{kern 1pt} left(1 right){text{we get}}, cr & x + 10 = 26 cr & x = 16 cr} $$

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