If 20% of (x + y) = 25% of (x - y), then what percent of y is equal to x?

  1. 800%
  2. 900%
  3. 200%
  4. 500%

Answer (Detailed Solution Below)

Option 2 : 900%
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PYST 1:SSC CGL 2023 - Quantitative Aptitude(Held On:14 Jul 2023 Shift 1)
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Detailed Solution

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Given:

20% of (x + y) = 25% of (x - y)

Formula used:

Percentage = (Obtained value/Total value) × 100

Calculation:

20% of (x + y) = 25% of (x - y)

⇒ 20(x + y) = 25(x - y)

⇒ 20x + 20y = 25x - 25y

⇒ 20y + 25y = 25x - 20x

⇒ 45y = 5x

⇒ x = 9y

Now, Percentage = (Obtained value/Total value) × 100

⇒ (x/y) × 100

⇒ (9y/y) × 100 

⇒ 900%

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