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Mukesh purchased 10 bicycles in 2017 | Quantitative Aptitude - Arithmetic – Profit Loss

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The question below is from previous year CAT question from CAT 2019 exam comes from CAT Profit Loss : Mukesh purchased 10 bicycles in 2017

Find out by answering this question which tests an aspirant’s Quantitative Ability Skills.

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CAT 2019 - Slot 2 - Quantitative Aptitude - Profit Loss - Question 4 - Mukesh purchased 10 bicycles in 2017

Q. 4: Mukesh purchased 10 bicycles in 2017, all at the same price. He sold six of these at a profit of 25% and the remaining four at a loss of 25%. If he made a total profit of Rs. 2000, then his purchase price of a bicycle, in Rupees, was

1. 2000

2. 6000

3. 4000

4. 8000

Let the price of each bicycles = p , total CP = 10p

 

SP of 6 bicycles = 6p +25% of 6p = 7.5 p

 

SP of 4 bicycles = 4p – 25% of 4p = 4p – p = 3p

 

Thus total SP = 7.5p + 3p = 10.5 p

 

Profit = 10.5p – 10p = 0.5p

 

Given, 0.5p = 2000

 

p = 4000

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