# A wholesaler bought walnuts and peanuts | Quantitative Aptitude Arithmetic | Profit and Loss

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## CAT 2018 - Slot-1 - Arithmetic - Question-4 - A wholesaler bought walnuts and peanuts

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?
1. 98
2. 96
3. 84
4. 86

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

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