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Question
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.
🎥 Video solution / Text Solution of this question is given below:
Hemant's Monthly Salary Calculation
Step 1: Let Hemant's monthly salary be x.
He deposits 10% in PF ⇒ PF = 0.10x
Remaining salary after PF = 0.90x
Step 2: Savings
He saves 30% of the remaining ⇒ Savings = 0.30 × 0.90x = 0.27x
Remaining after savings = 0.90x - 0.27x = 0.63x
Step 3: Expenses on Medicine and Groceries
The ratio is given: Medicine : Groceries = 3 : 4
Total ratio parts = 3 + 4 = 7
Medicine = (3/7) × 0.63x = 0.27x
Step 4: Given that medicine expense = Rs. 2700
0.27x = 2700
⇒ x = 2700 ÷ 0.27 = ₹10,000
✅ Final Answer: ₹10,000
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