Multiple choice

A trader sold an article for Rs. 100 and he found that his loss percent was one-fourth of the cost price of the article. What was the cost price of the article?

  1. Rs. 180

  2. Rs. 200

  3. Rs. 230

  4. Rs. 265

  5. Rs. 275
Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

Using the loss percentage formula, the loss is the cost price minus 100, and the loss percentage is calculated as this loss divided by the cost price multiplied by 100. Setting this equal to one-fourth of the cost price gives the equation 100 minus 100 divided by the cost price equals one-fourth of the cost price. Solving this quadratic equation by testing the given values reveals that when the cost price is 200, the loss is 25% because 25 is one-fourth of 100, and 25 is also exactly one-fourth of the cost price.

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