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Problem 1 - Entrance Test

A trader sells 20 articles at a 15% discount and makes a 35% profit. If he sells these at a 10% discount instead, what is his profit percent?

Correct: D

Initial SP after 15% discount: Let MP = 100, discount = 15% → SP = 85. Profit = 35% → CP = 85 / 1.35 ≈ 63. By SP after 10% discount: 90. Profit% = ((90 - 63)/63)*100 ≈ 42.86%. Answer: 42.86% (not in options, but closest is 48.33% if MP and CP ratio is different). Recalculate with variables: Let CP = x, MP = M. 85M = 1.35x → M = (1.35/0.85)x ≈ 1.588x. New SP = 0.9M = 0.9 * 1.588x ≈ 1.429x → Profit = 42.9%.