Suman buys 40 kg of wheat at Rs.12.50/kg and 30 kg of wheat at Rs.14/kg. At what rate per kg should he sell the mixture to gain 5% on the whole?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. Rs.13.80.
40 kg of wheat is bought for Rs. 12.50/kg
So, The C.P. of 40 kg of wheat = 40 × 12.50 = Rs. 500
30 kg of wheat is bought for Rs. 14/kg
So, The C.P. of 30 kg of wheat = 30 × 14 = Rs.420
Total CP = Rs.500 + Rs.420 = Rs.920
Profit = 5% of CP = 5% of Rs.920 = Rs.5/100 × 920 = Rs.46
Let the SP be Rs.x
Profit = SP − CP
⇒ x − 920 = 46
⇒ x = Rs.966
SP of 70 kg wheat = Rs.966
∴ SP of 1 kg wheat = Rs.966/70 = Rs.13.80
Thus, the selling price of the mixture is Rs.13.80/kg