Multiple choice

Each of these questions consists of a question followed by information in three statements. You have to study the question and the statements and decide that information in which of the statement(s) is/are necessary to answer the question. Find the actual profit percent of the shopkeeper? Statement I: The profit made while selling 2 kg of sugar was 20%. But he uses less weight than actual weight. Statement II: Weight used was 37% less than the actual 1 kg weight of the sugar. Statement III: There was no discount on the price of the sugar.

  1. Only Statement I alone is sufficient.

  2. Statement II and III are sufficient together.

  3. All three statement require together.

  4. Statement I and II are sufficient together.

  5. None of these.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The shopkeeper claims 20% profit on 2 kg, meaning selling price = 2.4 × (price per kg). Statement II reveals he uses 37% less weight, so actual weight for every '1 kg' is only 630g. For 2 kg, customer receives only 1.26 kg but pays for 2 kg. Effective selling price per actual kg = 2.4/1.26 = 1.905 times marked price. Profit = (1.905 - 1)/1 × 100 = 90.5%. Statements I and II together are sufficient.

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