A man deposits 10% of his salary in PF. He saves 30% of the remaining. The ratio of his expenses on medicine and groceries is 3 : 4 of the remaining salary after saving. If his expense on medicine was Rs. 2700, find the monthly salary.

Explanation

Let the salary of the man be x. He deposits 10% in PF. Remaining = x - (10x/100) = 90x/100. He saves 30% of the remaining. Savings of the man = (30/100) x (90x/100) = 27x/100. Expenses of the man = (90x/100) - (27x/100) = 63x/100 ----(i). The ratio of expenses on medicine and groceries is 3 : 4 and the expense on medicine is Rs. 2700. => 3 units = 2700 => 1 unit = 900 => 4 units = 3600. Total expense = 2700 + 3600 = 6300 ----(ii). Equating (i) and (ii): => 63x/100 = 6300 => x = 10,000. Therefore, the monthly salary of the man is Rs. 10,000.