Profit is the difference between selling price and cost price, so here profit = 920 − 800 = ₹120. The profit percentage is calculated on cost price as (Profit ÷ Cost price) × 100, giving (120 ÷ 800) × 100 = 15%. Thus, the trader earns a profit of 15% on the article. This matches option A.
Option A:
Option A is correct because the calculation based on the formula yields exactly 15%. A 15% increase on ₹800 is 0.15 × 800 = 120, leading to a selling price of 920, which fits the data given. Recognising this pattern helps students quickly check their answers in profit and loss questions.
Option B:
A profit of 10% on ₹800 would be ₹80, resulting in a selling price of ₹880, which is lower than the actual selling price. This does not match the information in the problem. Hence, 10% is not the correct profit percentage.
Option C:
A profit of 12% would be 0.12 × 800 = ₹96, giving a selling price of ₹896. This is still less than ₹920 and therefore inconsistent with the stated transaction. As a result, 12% is not the right answer.
Option D:
A profit of 20% would imply 0.20 × 800 = ₹160 as profit and a selling price of ₹960, which is higher than the given selling price. Thus, 20% overestimates the gain and cannot be correct.
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