Hemant deposits 10% of his salary in PF. He saves 30% of the remaining salary. The ratio of his expense on medicine and groceries is 3:4 of the remaining salary after saving. If his expense on the medicine was Rs. 2700, then find his monthly salary.
Let Hemant's monthly salary be S.
He deposits 10% of his salary in PF, so PF deduction = 0.10S.
Remaining salary after PF deduction = S - 0.10S = 0.90S.
He saves 30% of the remaining salary.
Savings = 0.30 × (0.90S) = 0.27S.
Remaining salary after saving = 0.90S - 0.27S = 0.63S.
This is the amount available for expenses.
The ratio of his expense on medicine and groceries is 3:4.
Let the expense on medicine be 3x and on groceries be 4x.
Total expense = 3x + 4x = 7x.
This equals the remaining salary after saving, so 7x = 0.63S.
From this, x = 0.63S ÷ 7 = 0.09S.
His expense on medicine was Rs. 2700.
Expense on medicine = 3x.
So, 3x = 2700.
Substitute x = 0.09S:
3 × (0.09S) = 2700
0.27S = 2700
S = 2700 ÷ 0.27 = 10000
Answer: Hemant's monthly salary is Rs. 10,000.
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