Multiple choice

If a, b, c and d are four numbers such that b is 50% of a, c is 25% less than b, d is 10% more than c, and a is k% more than d, then what is the approximate value of k?

  1. 100

  2. 120

  3. 142

  4. 165

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

Let a = 100. b = 50. c = 50 * 0.75 = 37.5. d = 37.5 * 1.1 = 41.25. a = k% more than d: 100 = 41.25 * (1 + k/100). 1 + k/100 = 100 / 41.25 = 2.4242. k = 142.42.

AI explanation

Let a equal 100, which makes b equal 50. Since c is 25 percent less than b, c is 37.5, and since d is 10 percent more than c, d is 41.25. The value of a is 100, which is k percent more than d, so 100 equals 41.25 multiplied by the quantity 1 plus k divided by 100. Solving this equation gives k equals 142.