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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?

- A. Rs. 5, Rs.7.50
- B. Rs. 8, Rs. 12
- C. Rs. 10, Rs. 16
- 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

$$eqalign{
& left( {frac{{160}}{{100}}} right)y + y = 26 cr
& Rightarrow yleft( {frac{{160}}{{100}} + 1} right) = 26 cr
& Rightarrow yleft( {frac{{160 + 100}}{{100}}} right) = 26 cr
& Rightarrow y = frac{{left( {26 times 100} right)}}{{260}} cr
& Rightarrow y = 10 cr
& {text{Substituting}},,y = 10,,{text{in }}{kern 1pt} left(1 right){text{we get}}, cr
& x + 10 = 26 cr
& x = 16 cr} $$