Multiple choice

The cost price of 40 articles is the same as the selling price of x articles. If the profit is 25%, then find the value of x.

  1. 33

  2. 35

  3. 30

  4. 32

  5. 36

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP of 1 article be 1. CP of 40 articles = 40. SP of x articles = 40. Profit = 25%, so SP = 1.25 * CP. 40 = 1.25 * x. x = 40 / 1.25 = 32.

AI explanation

Using the formula for equal sums, (100 / (100 + Profit%)) x Given Quantity, we substitute the values to find x. This yields (100 / (100 + 25)) x 40, which simplifies to (100 / 125) x 40. Multiplying this out gives 0.8 x 40, which equals 32. The result is 32.