Question

A man mixes two types of rice (X and Y) and sells the mixture at the rate of Rs.17 per kg. Find his profit percentage. % Statement I The rate of X is Rs. 20 per kg. % Statement II The rate of Y is Rs. 13 per kg.

• A. If the question can be answered with the help of statement I alone.
• B. If the question can be answered with the help of statement II alone.
• C. If both, statement I and statement II are needed to answer the question.
• D. If the question cannot be answered even with the help of both the statements.

Hint:

To solve profit percentage problems, always ensure that you have both the cost price and selling price information, along with quantities, if necessary.

Answer 1

The Correct Option is C

From Statement I:
We know the rate of X is Rs. 20 per kg, but without knowing the quantity of rice X used, we cannot calculate the profit percentage. From Statement II:
We know the rate of Y is Rs. 13 per kg, but without knowing the quantity of rice Y used, we cannot calculate the profit percentage.
Combining both statements:
We know the rates of both rice types, but to calculate the profit, we also need to know the quantities used to mix the rice.
The profit percentage is calculated using the formula \( {Profit Percentage} = \frac{{Profit}}{{Cost Price}} \times 100 \), where the cost price depends on the quantities used. Thus, both statements are needed to calculate the profit percentage.