Multiple choice

A dealer sold an article at a loss of 2%. Had he sold it for Rs. 44 more, he would have gained 20%. Find the cost price of the article.

  1. Rs. 250

  2. Rs. 300

  3. Rs. 400

  4. Rs. 200
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the cost price be x. The loss of 2% means the selling price is 0.98x, and a gain of 20% means the selling price is 1.20x. The difference is 1.20x - 0.98x = 0.22x, which equals 44. Thus, x = 44 / 0.22 = 200.

AI explanation

The difference between a 2 percent loss and a 20 percent gain equals 22 percent of the cost price. This 22 percent difference is given as 44 rupees, so 22 percent of the cost price equals 44. Solving for the cost price, we calculate 44 multiplied by 100 divided by 22, which gives 200 rupees.

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