A man purchased 35 kg of rice at the rate of Rs.9.50 per kg and 30 kg at the rate of Rs.10.50 per kg. He mixed the two. Approximately, at what price (in Rupees) per kg. should he sell the mixture to make 35 per cent profit in the transaction?
A man purchased 35 kg of rice at the rate of Rs.9.50 per kg and 30 kg at the rate of Rs.10.50 per kg. He mixed the two. Approximately, at what price (in Rupees) per kg. should he sell the mixture to make 35 per cent profit in the transaction?
ARs.12
BRs.12.50
CRs.13
DRs.13.50
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Correct answer is: Rs.13.50
Explanation:
CP of 65 kg of the mixture
= Rs. \(\left(35 \times 9.50 + 30 \times 10.50\right)\)
= Rs. \(\left(332.5 + 315\right)\)
= Rs.647.5
Therefore, Rate per kg of the mixture = Rs. \(\left(\frac{647.5}{65}\right)\)
Therefore, Required rate = \(\frac{647.5}{65} \times \frac{135}{100}\) = Rs.133.50/kg.
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