Mohan purchased 50 kg of wheat at the rate of Rs. 13.40 per kg and 40 kg of wheat at the rate of Rs. 16.75 per kg. He mixed the two and sold the mixture. Approximately at what price per kg should he sell the mixture to make 25% profit?

A Rs. 18.61

B Rs. 18.20

C Rs. 15.60

D Rs. 14.80

E Rs. 17.30

Solution

Correct Answer: Option A

C.P. of 50 kg of wheat @Rs. 13.4/kg = 50 × 13.4 = Rs. 670

C.P. of 40 kg of wheat @Rs. 16.75/kg = 40 × 16.75 = Rs. 670

Total C.P. of 90 kg of wheat = 670 + 670 = Rs. 1340

As per the given information, Mohan wants to earn a profit of 25%.

\(\therefore 25 = \frac{{{\rm{Total\;S}}.{\rm{P}}.{\rm{\;\;}} - {\rm{\;}}1340}}{{1340}}\; \times 100\)

⇒ Total S.P. = Rs. 1675

⇒ Selling price of 90 kg of wheat = Rs. 1675

⇒ Selling price of wheat per kg = 1675/90 = Rs. 18.61

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