CAT 2020 Ratio, Proportion and Variation Question (Hard)

Question

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

Accepted Answer

Let Cost of 1 pencil x Cost of 1 sharpener x 2 --- Total Cost for Aron p cdot x s cdot x 2 px sx 2s p s x 2s Total Cost for Aditya 2p cdot x s - 10 x 2 2px s - 10 x 2 s - 10 Simplify 2px sx - 10x 2s - 20 2p s - 10 x 2s - 20 --- Equate Aron s and Aditya s totals p s x 2s 2p s - 10 x 2s - 20 Subtract

CAT 2020

Quantitative

Ratio, Proportion and Variation

Hard

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

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