GATE 2021 CS (CS2) – Question 9

General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 2 marks · Multiple choice

The chart gives sales units and total net profits for three years. Cost per unit in Year 3 is 1, half that in Year 2 and one third that in Year 1. Tax on selling price is 10%,13%,15% in Years 1,2,3. Net profit is selling price less cost and tax. Find the ratio of total selling price in Year 2 to that in Year 3.

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Correct answer: (A) 4:3

Explanation

Year 2 total cost is 200×2=400. If its total sales revenue is S₂, then 0.87S₂−400=296, giving S₂=800. Year 3 total cost is 300×1=300, so 0.85S₃−300=210, giving S₃=600. Hence the ratio of total selling prices is 800:600=4:3, A. Using per-unit selling prices would answer a different question.

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