Question 58

A farmer sells wheat. He mixes the two types of wheat he grows. 30 kg of the first group costs him ₹900 and 20 kg of the other group costs him ₹1100. At what price per kg should he sell the mixture so as to earn 25% on his average cost?

Solution

30 kg of the first group costs him ₹900 and 20 kg of the other group costs him ₹1100.

Average Cost price of each kg = $$\frac{900+1100}{30+20}$$

= $$\frac{2000}{50}$$

= 40

He wants to earn 25% profit on his average cost price of each kg.

So the average selling price of each kg = 40 of (100+25)%

= 40 of 125%

= $$40\times\ \frac{125}{100}$$

= $$40\times\ \frac{5}{4}$$

= ₹50

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