A trader buys an article for ₹181 and sells it for ₹199. Find the profit percentage.
Explanation
Correct percentage analysis gives 10%, corresponding to option D. Profit = SP − CP, Loss = CP − SP, and the percentage is calculated on cost price. For this question, identify every monetary base before applying a percentage. The question-specific working supplied in the record is: Profit = 199 - 181 = 18. Profit% = (18/181)×100 = 10%. Profit and loss questions become unreliable when a percentage is applied to the wrong base. Profit or loss percent uses cost price, while discount percent uses marked price. If several changes occur, convert each change into a multiplier and apply them in order. The distractors 20%, 15%, 5% can result from interchanging cost price and selling price, treating discount as loss, adding successive rates, ignoring quantity, or rounding before the final step. A dependable check is to assume cost price 100 whenever only percentages are involved, reconstruct the selling value, and compare the resulting ratio with the selected option. Also verify direction: profit requires selling price above cost price, whereas loss requires it below cost price. In marked-price problems, a discount can coexist with profit because marked price and cost price are different bases. This method preserves the numerical relationships in the stem and develops formula selection, percentage-base recognition and option elimination for SSC, Railway, Banking and other competitive aptitude examinations.