Question : Sourav purchased 30 kg of rice at the rate of Rs. 10 per kg and 35 kg at the rate of Rs. 11 per kg. He mixed the two. At what price per kg (in Rs.) should he sell the mixture to make a 30% profit in the transaction?
Option 1: 12.5
Option 2: 13
Option 3: 13.7
Option 4: 14.25
Correct Answer: 13.7
Solution :
Given: Sourav bought 30 kg of rice at Rs. 10 per kg and 35 kg at Rs. 11 per kg.
The total cost price (CP),
CP = 30 × 10 + 35 × 11 = 300 + 385 = Rs. 685
The total weight of the rice = 30 + 35 = 65 kg
Sourav wants to make a 30% profit on the total cost.
The total selling price (SP),
⇒ SP = CP + $\frac{30}{100}$ × CP = 685 + 0.3 × 685 = Rs. 890.5
The price per kg he should sell the mixture at to make a 30% profit = $\frac{890.5}{65}$ = Rs. 13.7
Hence, the correct answer is 13.7.
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