Direction : The Line graph shows the number of people (Boys + girls) visited…

2020

Direction : The Line graph shows the number of people (Boys + girls) visited five (A, B, C, D & E) different parks and the number of girls visited out of total people visited these five parks. Read the data carefully and answer the questions.

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Total people (Boys + Girls) who visited park B is what percent more than total people (Boys + Girls) who visited park E (Approximate)?

  1. A.

    25%

  2. B.

    39%

  3. C.

    43%

  4. D.

    33%

  5. E.

    66%

Show answer & explanation

Correct answer: D

Concept: To find how much percent quantity X is MORE THAN quantity Y, the reference (base) is always the quantity that comes after “than” — here that is Y. The formula is: percent more = ((X − Y) ÷ Y) × 100. The base is Y, not X, and not their sum.

Reading the values from the (Boys + Girls) line for the two parks asked:

  • Park B total (Boys + Girls) = 72

  • Park E total (Boys + Girls) = 54

Application — substitute B as X and E as the base Y:

  1. Difference = 72 − 54 = 18

  2. Percent more = (18 ÷ 54) × 100

  3. = (1 ÷ 3) × 100 = 33.33% ≈ 33%

Cross-check: if 72 were 33.33% more than the base, the base × (1 + 1/3) should give 72. Indeed 54 × 4/3 = 72, which confirms the result. Note the base is E (54); using B (72) as the base instead would answer a different question (“E is what percent less than B”).

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