Multiple choice

Find the single equivalent discount for successive discounts of 12%, 18% and 25% on the marked price of a car.

  1. 35.28%

  2. 42.65%

  3. 40.25%

  4. 45.88%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the marked price be 100. After 12% discount, price is 88. After 18% discount, 88 * 0.82 = 72.16. After 25% discount, 72.16 * 0.75 = 54.12. The total discount is 100 - 54.12 = 45.88%.

AI explanation

Using the formula for a single equivalent discount of A and B, which is (A + B - AB/100)%, first combine the 12% and 18% discounts to get (12 + 18 - 216/100) = 27.84%. Next, combine this result with the 25% discount: (27.84 + 25 - (27.84 x 25)/100) = 52.84 - 6.96 = 45.88%.

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