Multiple choice

The marked price of an article is Rs. 1200. What is the cost price of the article? I. 20% discount is given on the marked price. II. The difference between the selling price and cost price of the article is Rs. 160. III. The profit is 20% on the cost price.

  1. Any two

  2. I and III

  3. II and III

  4. I and II or III

  5. All three together are sufficient
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

MP = 1200. Statement I: 20% discount, so SP = 0.8 × 1200 = 960. Statement II: SP - CP = 160. Statement III: 20% profit on CP, so SP = 1.2 × CP. Using I and II: CP = SP - 160 = 960 - 160 = 800. Using I and III: SP = 960 = 1.2 × CP, so CP = 960/1.2 = 800. Using II and III: SP - CP = 160 and SP = 1.2 × CP gives 0.2 × CP = 160, so CP = 800. Any pair works.

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