A female deposit 10% of her salary in PF. She saves 30% of the remaining. The ratio of her expense on medicine and groceries is 3/4 of the remaining salary after saving. If her expenses on the medicine is Rs 2700, find the monthly salary.

Let the monthly salary $= S$

PF deduction $= 10\%$ of $S = 0.10S$

Remaining amount $= S - 0.10S$

$= 0.90S$

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Savings $= 30\%$ of remaining amount

$= 0.30 \times 0.90S$

$= 0.27S$

Amount left after savings $= 0.90S - 0.27S$

$= 0.63S$

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The remaining amount $(0.63S)$ is spent on medicine and groceries in the ratio $3:4$.

Medicine takes $3$ parts

Groceries take $4$ parts

Total parts $= 3 + 4 = 7$

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Medicine expense $= \dfrac{3}{7}$ of remaining amount

Medicine $= \dfrac{3}{7} \times 0.63S$

Given that medicine expense $= \text{Rs } 2700$:

$\dfrac{3}{7} \times 0.63S = 2700$

$0.63S = 2700 \times \dfrac{7}{3}$

$0.63S = 6300$

$S = \dfrac{6300}{0.63}$

$S = 10000$

Therefore, the monthly salary is Rs 10,000.