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A receives 15% commission on profit after charging the commission. Profit before charging the commission is Rs 230000. What is the commission?

Answer and explanation

Correct answer: Rs 30000

Let commission be C. Since commission is on profit after charging itself, C = 15% × (230000 − C). So C = 0.15×230000 − 0.15C ⇒ 1.15C = 0.15×230000 ⇒ C = \(230000 \times \frac{15}{115}\) = Rs 30000. Close distractors like Rs 32200 arise from applying an incorrect percentage (for example using 14% or treating the base as 100 instead of 115), so they are wrong. Exam tip: for "commission after charging" problems use C = (rate/(100+rate)) × profit_before_commission to save time and avoid algebraic errors.

Related tags

Partnership AccountsCommission After ChargingProfit DistributionAccountancyClass 12FormulaPartnership Accounts Basic ConceptsClass 12 Mcq

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