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

CAT 2018 – The CAT QA section has grown increasingly difficult since 2015. In order to tackle the tougher CAT Level QA questions for the CAT Exam, it is important to understand the basics of CAT. To obtain a great CAT score, make use of MBAP Free Study material with detailed solutions and video explanations. Check out MBAP free Mock test to take these questions in a test format for free.

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The question below is from previous year CAT question from CAT 2018 exam comes from CAT Profit and Loss: A wholesaler bought walnuts and peanuts. Find out by answering this question which tests an aspirant’s Quantitative Ability Skills:

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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