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 ₹2700, then find his monthly salary.
Explanation
Let the salary of man be x
He deposit 10% in PF
Remaining = x - (10x/100) = 90x/100
He saves 30% of remaining
Savings of man = (30/100) × (90x/100) = 27x/100
Expenses of the man = (90x/100) - (27x/100) = 63x/100 ----(I)
The ratio of expenses of medicine and groceries is 3 : 4 and the expense of medicine is Rs.2700
⇒ 3 units = 2700
⇒ 1 unit = 900
⇒ 4 unit = 3600
Total Expense = 2700 + 3600 = 6300 ----(ii)
Equating (I) and (ii)
⇒ 63x/100 = 6300
⇒ x = 10,000
∴ Monthly salary of the man is Rs.10,000
Explanation
Let the salary of man be x
He deposit 10% in PF
Remaining = x - (10x/100) = 90x/100
He saves 30% of remaining
Savings of man = (30/100) × (90x/100) = 27x/100
Expenses of the man = (90x/100) - (27x/100) = 63x/100 ----(I)
The ratio of expenses of medicine and groceries is 3 : 4 and the expense of medicine is Rs.2700
⇒ 3 units = 2700
⇒ 1 unit = 900
⇒ 4 unit = 3600
Total Expense = 2700 + 3600 = 6300 ----(ii)
Equating (I) and (ii)
⇒ 63x/100 = 6300
⇒ x = 10,000
∴ Monthly salary of the man is Rs.10,000
