Multiple choice

When an article is sold for Rs. 89, then the profit percent is twice as when it is sold for Rs. 78. What is the cost price of the article?

  1. Rs. 56

  2. Rs. 50

  3. Rs. 67

  4. Rs. 11
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP be x. Profit at 89 is (89-x), profit at 78 is (78-x). Given (89-x) = 2 * (78-x). Solving: 89 - x = 156 - 2x, so x = 67.

AI explanation

Let the cost price of the article be x. Using the profit formula, selling at Rs. 89 gives a profit of (89 - x), and selling at Rs. 78 gives a profit of (78 - x). The problem states that 89 - x = 2(78 - x), so expanding this gives 89 - x = 156 - 2x. Solving for x gives x = 156 - 89, which is 67. The cost price of the article is Rs. 67.

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