Multiple choice

A shopkeeper sells two articles at the same price, i.e., Rs. 24, but the cost price of each article is different. If the loss percent incurred on each article is numerically equal to the cost price of that article, find the difference between the cost prices of both articles.

  1. 24

  2. 20

  3. 40

  4. 10

  5. Cannot be determined
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP1 = x and CP2 = y. Both sold at Rs. 24. Loss on first = x - 24 = x% of x = x/100 * x, so x - 24 = x²/100. Similarly, y - 24 = y²/100. Both give x² - 100x + 2400 = 0, so (x - 40)(x - 60) = 0. Thus CPs are 40 and 60. Difference = 60 - 40 = 20.

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