Multiple choice

If the cost price of 20 tables is exactly the same as the selling price of x number of tables and the profit earned is 25%, then which of the following is the correct value of x?

  1. 15

  2. 16

  3. 17

  4. 19

  5. 20
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Profit = (SP - CP) / CP = 0.25. Let CP of one table be 1. CP of 20 tables = 20. SP of x tables = 20. SP of one table = 20/x. Profit = (20/x - 1) / 1 = 0.25 => 20/x = 1.25 => x = 20 / 1.25 = 16.

AI explanation

Let the cost price of one table be C and the selling price be S. The profit formula gives S equals 1.25 times C. The equation states 20 times C equals x times S, so substituting S gives 20C equals 1.25Cx. Dividing both sides by C and then by 1.25 gives x equals 16.

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