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GATE 2023 PI – Question 65

Operations Research and Operations Management · Engineering Economy and Costing · 2 marks · Numerical answer

Products P and Q sell in a 10:1 ratio. Fixed cost is ₹140000. Selling prices are ₹10/unit for P and ₹40/unit for Q; variable costs are ₹5 and ₹20/unit respectively. Find break-even revenue in rupees (integer).

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Correct answer: 280000 to 280000

Explanation

One sales bundle of 10 P and 1 Q earns 10×10+40 = ₹140 revenue, with variable cost 10×5+20 = ₹70. Contribution/revenue ratio = 70/140 = 0.5. Break-even revenue = fixed cost / contribution ratio = 140000/0.5 = **₹280000**.

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