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Q. 4: 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 CP of walnuts for wholesaler was 3x and that of peanuts was x so
SP of 8 kg of peanuts and 16 kg of walnuts = 8*1.1x + 16*1.2*3x = 66.4x
The shopkeeper gets 25% profit so SP = 1.25*66.4x =83x
As per question 83x = 166*(8+16 – 5-3) = 166*16
So x = 32
So CP of walnuts = 3x = 96