How much quantity if rice of the price 18 rupees per kg should be mixed with 45 kg of rice having price 26 rupees per kg so that after selling mixture at 25.2 rupees per kg threre is a profit of `5%`?

Options

A. 30kg
B. 25kg
C. 20kg
D. 15

Answer

D

Explanation

Let the quantity of rice to be mixed is x kg.
Cost price of mixture
`25.2xx(100)/(105)=24` rupees per kg

`("rice A")/("rice B")=(6)/(2)=(3)/(1)`
`therefore x=(1)/(3)xx45=15kg`.