Multiple choice

A shopkeeper purchased 20 articles at some price and sold z articles at the cost price of 20 articles. If the profit percent is 25%, then the value of z is

  1. 8

  2. 5

  3. 20

  4. 16

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

Let CP of one article be 1. Total CP of 20 articles is 20. Total SP of z articles is 20. Profit = SP - CP = 20 - z. Profit% = (20-z)/z * 100 = 25. 20-z = 0.25z, so 1.25z = 20, z = 16.

AI explanation

Let the cost price of one article be 1 rupee, making the total cost price of 20 articles equal to 20 rupees. The shopkeeper sells z articles for 20 rupees, meaning the selling price of one article is 20 divided by z. Since the profit is 25 percent, the selling price of one article is also 1 multiplied by 1.25, so equating the two gives 20 divided by z equals 1.25. Solving for z gives a value of 16.

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