Question

The average price of two books is Rs. 13. 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 1

Answer: (C)

Rs. $10$, Rs. $16$

Let the prices be $x_1,x_2$

Given that the price of one book is $60\%$ more than the price of the other.

Therefore, $x_2=0.6x_1+x_1$

$⟹x_2=1.6x_1$ ------(1)

Given that the average price of two books is Rs. $13$

Therefore, $13=\frac{x_1+x_2}{2}$

$⟹13=\frac{1.6x_1+x_1}{2}$

$⟹2.6x_1=26$

$⟹x_1=10$

$⟹x_2=1.6x_1=1.6\times 10=16$

Therefore, the prices of the books are $\text{Rs. 10, Rs. 16}$