CAT 2020 Question Paper | Quants Slot 2

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Question 24 : Aron bought some pencils and sharpeners. Spending the same amount of money as Aron, Aditya bought twice as many pencils and 10 less sharpeners. If the cost of one sharpener is 2 more than the cost of a pencil, then the minimum possible number of pencils bought by Aron and Aditya together is

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Explanatory Answer

	Pencils and it's price = x	Sharpeners and it’s price = x+2
Aron	p	s
Aditya	2p	s-10

(Aron) Px + sx + 2s = (Aditya) 2px + sx – 20 – 10x + 2s
Px = 10x + 20
x(p-10) = 20
Together they bought 3p pencils
Minimum value of p has to be 11
So, minimum pencils they bought together is 33

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The answer is, "33"