A grocer purchased 2 kg. of rice at the rate of Rs.15 per kg. and 3 kg. of rice at the rate of Rs.13 per kg. At what price per kg. should he sell the mixture to earn $33\frac{1}{3}$% profit on the cost price?
A grocer purchased 2 kg. of rice at the rate of Rs.15 per kg. and 3 kg. of rice at the rate of Rs.13 per kg. At what price per kg. should he sell the mixture to earn $33\frac{1}{3}$% profit on the cost price?
ARs.28.00
BRs.20.00
CRs.18.40
DRs.17.40
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Correct answer is: Rs.18.40
Explanation:
Mixture = 2 kg of rice at Rs.15/kg + 3 kg. of rice at Rs.13/kg
Total weight = 2 + 3 = 5 kgTotal cost price = \(\left(2 \times 15\right)+ \left(3 \times 13\right)\)
= 30 + 39 = Rs.69
Cost price per kg of the mixture = \(\frac{69}{5}\) = Rs.13.80Selling price to get \(33\frac{1}{3}\) % profit
\(=\frac{100+33\frac{1}{3}}{100}\) = Rs.13.80
\(= \frac{400}{3 \times 100}\) = Rs.13.80
\(= \frac{4}{3}\) = Rs.13.80
= Rs.18.40
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