question_answer

In what ratio must a grocer mix two varieties of rice worth Rs. 40 a kg and Rs. 50 a kg so that by selling the mixture at Rs. 66 a kg he may gain 10%?

A)  1 : 4                

B)  1 : 3

C)  1 : 2                

D)  1 : 5

Correct Answer: C

Solution :

[c] SP of 1 kg of mixture = Rs. 66 per kg Profit = 10% CP of 1 kg of mixture \[=Rs.\left( \frac{100}{110}\times 66 \right)=Rs.60\] By the rule of allegation we have Cost of 1 kg of rise of I st kind Cost of 1 kg of rice of II nd kind             Required ratio = 10:20 = 1:2