Multiple choice

Passage

Each of these questions consists of a question followed by informations 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.

What is the cost price of the article? I. 20% discount is given on the marked price. II. Marked price of the article is 125% of its selling. III. Profit is Rs. 40.

  1. I and II together

  2. II and III together

  3. All three together

  4. All together are not sufficient

  5. None of these

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

To find the cost price, we need either an absolute value (marked price or selling price) or a percentage relationship with profit. Statements I and II give relationships: discount of 20% means SP = 0.8 × MP, and MP = 1.25 × SP. These are consistent (0.8 × 1.25 = 1) but circular, providing no absolute value. Statement III gives profit = Rs. 40, meaning CP = SP - 40. Without knowing SP, we cannot find CP. All three together are insufficient because we lack any absolute monetary value to anchor the calculation.