A grocer mixes 40 kg of lentils costing ₹60 per kg with a certain quantity of lentils costing ₹90 per kg. He sells the mixture at ₹78 per kg, making 20% profit. Find the quantity of the second type of lentils mixed.
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Correct answer: B
Explanation
The correct answer is option 2 i.e. 8 kg
CP per kg = 78 × (100/120) = 65
Let the quantity of the second lentils = x kg
Total cost = (40 × 60) + (90 × x) = 2400 + 90x
Total quantity = 40 + x
(2400 + 90x)/(40 + x) = 65
⇒ 2600 + 65x = 2400 + 90x
⇒ 25x = 200
⇒ x = 8 kg