Data Sufficiency Question 64

A shopkeeper mixes two different types of rice $A$ and $B$ and sells the mixture at the rate of $₹ 45$ per kg. What is the profit percentage earned by him?

I. Cost price of rice $A$ is $₹ 42$ per $kg$.

II. Cost price of rice $B$ is ₹ 50 per $kg$.

III. Cost price of rice B is ₹ 8 per $kg$ higher than that of rice $A$.

(1) Only I and II

(2) Only I and III

(3) I, II and III together are not sufficient

(4) Either (I) or (II)

Show Answer

Correct Answer: 64. (3)

Solution: 64. (3) We need to know the quantities of $A$ and $B$ being mixed in order to determine the cost price of the mixture. Since the qantities are not given in any of the statements, C.P. of the mixture and hence profit can’t be determined.