A wholesaler bought walnuts and peanuts, the price of walnut per kg being thrice that of peanut per kg. He then sold 8 kg of peanuts at a profit of 10% and 16 kg of walnuts at a profit of 20% to a shopkeeper. However, the shopkeeper lost 5 kg of walnuts and 3 kg of peanuts in transit. He then mixed the remaining nuts and sold the mixture at Rs. 166 per kg, thus making an overall profit of 25%. At what price, in Rs. per kg, did the wholesaler buy the walnuts?
Let the cost price of peanuts for the wholesaler be Rs. x per kg.
Cost price of walnuts for the wholesaler is Rs. 3x per kg.
The wholesaler sold 8 kg of peanuts at 10% profit and 16 kg of walnuts at 20% profit to a shopkeeper.
Total cost price to the shopkeeper = (8)(x)(1.1) + 16(3x)(1.2)
The shopkeeper lost 5 kg walnuts and 3 kg peanuts. So, the shopkeeper sold the mixture of 11 kg walnuts and 5 kg peanuts.
Total selling price of shopkeeper = 166(16) = Rs. 2656
Cost price of shopkeeper = 2656 × (100/125) = 2124.8
66.4x = 2124.8
x = 32
Price at which the wholesaler bought walnuts = 3x = Rs. 96 per kg
The correct option is B.