- 7
- 13
- 9
- 11

Option 4 : 11

__Given:__

\({x\over y} = {3\over 7}\)

Calculation:

\({3x+ 5y\over (y - x)}\)

Taking (y) common in both numerator and denominator.

Then,

\({3x+ 5y\over (y - x)}\) = \({y(3\times \frac{x}{y} +5 )\over y(1 - \frac{x}{y})}\)

Now, put \({x\over y} = {3\over 7}\)

Then,

\({y(3\times \frac{x}{y} +5 )\over y(1 - \frac{x}{y})}\) = \({(3\times \frac{3}{7} +5 )\over (1 - \frac{3}{7})}\)

⇒ \(\frac{\frac{44}{7}}{\frac{4}{7}}\) = **11**

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