Multiple choice

The price of a telephone was first increased by 10 percent and then the new price was decreased by 25 percent. The final price was what percent of the initial price?

  1. 78%

  2. 80%

  3. 82.5%

  4. 85%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let initial price be 100. After 10% increase = 110. After 25% decrease = 110 * 0.75 = 82.5. Final price is 82.5% of initial.

AI explanation

Using the successive percentage change formula, the final price is found by multiplying the initial price by (1 + 0.10) for the increase and then by (1 - 0.25) for the decrease. This gives 1 * 1.10 * 0.75 = 0.825. Converting this decimal to a percentage yields 82.5 percent, meaning the final price was 82.5 percent of the initial price. The result is 82.5%.

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