Multiple choice

Directions: In the following question, you have to find out which of the following statements is/are redundant for determining the answer of the given question or can be dispensed with. An article is sold at 50% discount. What is its cost? (i) If the article is sold at Rs. 500 less, then there would be no loss no profit. (ii) Marked price of the article is 200% more than its cost. (iii) The article is sold at 50% more than its cost.

  1. Only (i) and (ii)

  2. Only (i) and (iii)

  3. Either (ii) or (iii)

  4. Either (i) and (ii) together or (i) and (iii) together

  5. Any two of three
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The question asks for the cost of an article sold at 50% discount. (i) Selling at Rs 500 less gives no profit/loss, meaning SP - 500 = CP. (ii) MP = 3 * CP. (iii) SP = 1.5 * CP. Since SP = 0.5 * MP, (ii) implies SP = 0.5 * 3 * CP = 1.5 * CP. Thus, (ii) and (iii) are identical statements. Either one is redundant.

AI explanation

The question provides the discount as 50%, meaning the selling price is half of the marked price. Statement (ii) gives the marked price as 3 times the cost, which means selling at a 50% discount yields a selling price of 1.5 times the cost, immediately allowing us to find the base cost. Statement (iii) independently states the selling price is 1.5 times the cost, providing the exact same proportional information as statement (ii) and making both independently sufficient alongside the given discount. Therefore, either statement (ii) or statement (iii) can be dispensed with.

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