Question: 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?
The wholesaler sold peanuts at Rs. 1.1X per kg and walnuts at Rs. 3.6X per kg.
Total cost of 8 kg peanuts and 16 kg walnuts for the shopkeeper = 8 × 1.1X + 16 × 3.6X = 66.4X
He sold (8 – 3 =) 5 kg peanuts and (16 – 5 =) 11 kg walnuts after mixing at Rs. 166 per kg
Cost price of walnuts for the wholesaler = 3 × 32 = Rs. 96
Hence, option (d).