Question

A merchant purchased 3 different varieties of rice namely P, Q and R at 15/kg, 25/kg and 30/kg. He then mixed these 3 different varieties of rice in the ratio of 3 : 5 : 2. At what price he must sell 1 kg of the mixed rice so as to make a net profit of 25%?

• A. 23.50
• B. 26.75
• C. 21.50
• D. 28.75

Answer 1

The Correct Option is D

Finding the Selling Price Per kg 

Step 1: Compute the Cost Price (CP) Per kg

Given the cost price per kg for different quantities:

\[ CP = \frac{(3 \times 15) + (5 \times 25) + (2 \times 30)}{3 + 5 + 2} \]

Calculating the numerator:

\[ (3 \times 15) + (5 \times 25) + (2 \times 30) = 45 + 125 + 60 = 230 \]

Calculating the denominator:

\[ 3 + 5 + 2 = 10 \]

Thus, the cost price per kg:

\[ CP = \frac{230}{10} = 23 \text{ per kg} \]

Step 2: Compute the Selling Price (SP) Per kg

The selling price is increased by 25%, so we use:

\[ SP = CP \times \left(1 + \frac{25}{100}\right) \]

Substituting the value of \( CP \):

\[ SP = 23 \times 1.25 \]

\[ SP = 28.75 \]

Final Answer:

Thus, the correct answer is Rs. 28.75 (Option D).