Multiple choice

Ravi sells an article at a gain of 12 1/2 %. If he had sold it at Rs.22.50 more, he would have gained 25%. The cost price of the article is:

  1. Rs.162

  2. Rs.140

  3. Rs.196

  4. Rs.180

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP be x. 1.25x - 1.125x = 22.50. 0.125x = 22.50. x = 22.50 / 0.125 = 180.

AI explanation

Using the profit percentage difference formula, the ratio of the difference in selling prices to the cost price equals the difference in profit percentages. The difference of 12.5% and 25% is 12.5%, so 22.50 equals 12.5% of the cost price. The cost price is 22.50 / 0.125 = 180.

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