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Some people went to a water park on 2 days i.e. Sunday and Monday. The ratio of men, women and children who went on Sunday is 8 ∶ 7 ∶ 5 and that on Monday is 2 ∶ 2 ∶ 1, if the difference of men who went to the park on Sunday and number of women who went to park on Monday is 1200 and the difference between children who went on Sunday to the children who went on Monday is 850. Calculate the number of people who went to the park on Sunday is how much percentage greater than or less than the number of people who went to the park on Monday.

Some people went to a water park on 2 days i.e. Sunday and Monday. The ratio of men, women and children who went on Sunday is 8 ∶ 7 ∶ 5 and that on Monday is 2 ∶ 2 ∶ 1, if the difference of men who went to the park on Sunday and number of women who went to park on Monday is 1200 and the difference between children who went on Sunday to the children who went on Monday is 850. Calculate the number of people who went to the park on Sunday is how much percentage greater than or less than the number of people who went to the park on Monday. Correct Answer 150%

Given:

Calculation:

Let the number of men, women and children who went on Sunday be 8x, 7x, 5x respectively.

Let the number of men, women and children who went on Monday be 2y, 2y, y respectively.

∴ According to question

8x – 2y = 1200

⇒ 4x – y = 600     ----(i)

5x – y = 850      ---- (ii)

∴ Solving (i) and (ii)

x = 250, y = 400

Number of men, women and children who went on Sunday = 8x + 7x + 5x = 20x = 20 × 250 = 5000

Number of men, women and children who went on Monday = 2y + 2y + y = 5y = 5 × 400 = 2000

∴ Required percentage = {(5000 – 2000)/2000} × 100 = 150%

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