Multiple choice

If x increases by 10%, it yields y. If y decreases by 50%, it yields z. If z increases by 40%, it yields w.What percent of x is w?

  1. 10%

  2. 33%

  3. 50%

  4. 77%

  5. 100%

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

Let x = 100. y = 100 * 1.10 = 110. z = 110 * 0.50 = 55. w = 55 * 1.40 = 77. w is 77% of x.

AI explanation

To find the final value relative to the initial value, multiply the respective percentage multipliers together. The calculation is 1.10 * 0.50 * 1.40, which equals 0.77. This means w is 77 percent of x.