Multiple choice

Directions: Select the correct alternative from the given choices. Three persons, A, B and C, have a certain number of chocolates with each of them. The number of chocolates with B is 20% more than that with A, which, in turn, is two-thirds of that with C. If the number of chocolates with B is less than the total number of chocolates with A and C together by x percent, what is the value of x?

  1. 30

  2. 40

  3. 48

  4. 52
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let A = 2, then C = 3 (since 2 is 2/3 of 3). B is 20% more than A, so B = 2 * 1.2 = 2.4. Total of A and C is 2 + 3 = 5. B is 2.4, which is 2.6 less than 5. The percentage x is (2.6 / 5) * 100 = 52%.

AI explanation

Let the number of chocolates with C be 30, making A two-thirds of 30, which is 20. B has 20 percent more than A, so B has 1.2 multiplied by 20, which is 24. The total number of chocolates with A and C is 50, so B is less than their sum by 26. The required percentage is 26 divided by 50 multiplied by 100, giving x a value of 52.

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