Sachin purchased two qualities of rice of equal quantity cost Rs. 100 per Kg and Rs. 150 per Kg. He blended them and sold the mixture at the rate of Rs. 120 per Kg. Find the net profit or loss percent.

Question

Question

Answer 1

Short trick∶

Cost price of rice = \({100 \times 1 + 150 \times 1 \over 2} = Rs. 125\)

Required loss = \({120 - 125 \over 125} \times 100 = 4\%\)

Detailed solution∶

Given:

Sachin purchased two qualities of rice of equal quantity cost Rs. 100 per Kg and Rs. 150 per Kg

And sold the mixture at the rate of Rs. 120 per Kg

Calculation:

Let the amount of rice of both qualities be 1 Kg

Total cost price of rice = (100 + 150) = Rs. 250

Since the total amount of rice = 2 Kg

So, the selling price of 2 Kg of rice = 120 × 2 = Rs. 240

Since, S.P < C.P

Loss = 250 - 240 = Rs. 10

So, loss% = (10 / 250) × 100 = 4%