A trader mixes 26 kg of raw salt which costs Rs.2 per kg with 30 kg of raw salt which costs Rs.3.60 per kg. If he sells the mixture for Rs.3 per kg. find his gain%.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 5%.
The cost price of 26 kg of salt = Rs.2/kg
The cost price of 30 kg of salt = Rs.3.60/kg
The selling price of the mixture = Rs.3/kg
We know that,
Profit = Selling price - cost price
Profit percentage = [S.P - C.P]/C.P × 100
⇒ (3.6 - x)/(x - 2) = 13/15
⇒ 15(3.6 - x) = 13(x - 2)
⇒ 54 - 15x = 13x - 26
⇒ 26 + 54 = 28x
⇒ x = 2.857
Total C.P. of 56 kg rice = 56 × 2.857 = 159.992 = 160
S.P. of 56 kg rice = 56 × 3 = 168
profit percentage = [S.P. - C.P.]/C.P. × 100
Profit percentage = (168 - 160)/160 × 100 = 5%