If \(\rm \frac{x}{y}=\frac{3}{5}\), then \(\frac{5x+2y}{5x-2y}\) is equal to

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  1. 3
  2. 5
  3. \(\frac{2}{5}\)
  4. \(\frac{5}{2}\)

Answer (Detailed Solution Below)

Option 2 : 5
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Detailed Solution

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Given:

\(\dfrac{x}{y}=\dfrac{3}{5}\)

Calculation:

\(\dfrac{5x+2y}{5x-2y}\)

Let \(x = 3k\) and \(y = 5k\)

\(\dfrac{5(3k) + 2(5k)}{5(3k) - 2(5k)}\)

\(\dfrac{15k + 10k}{15k - 10k}\)

\(\dfrac{25k}{5k}\)

⇒ 5

∴ The correct answer is option (2).

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