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.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → Rs.10000
Each step takes its share from what is left after the step before, so the fractions are applied one after another to the salary \(S\).
After 10% to PF, left \(=90\%\) of \(S=0.9S\)
She saves 30% of this, so left after saving \(=70\%\) of \(0.9S=0.63S\)
Medicine and groceries share this in the ratio 3 : 4, so medicine \(\displaystyle =\frac{3}{7}\times0.63S=0.27S\)
Medicine costs Rs 2700: \(0.27S=2700\), so the salary \(S=\) Rs 10000