Question

In a year, a man spends on an average rupees \(3500\) per month between January to July and he spends rupees \(3800\) per month between August to December. If he saves rupees \(9000\) in that whole year, his monthly salary is:

• A. \(\rupee 4200\)
• B. \(\rupee 4250\)
• C. \(\rupee 4325\)
• D. \(\rupee 4375\)

Hint:

Yearly income \(=\) yearly expenditure \(+\) yearly saving. Then divide by \(12\) to get monthly salary.

Answer 1

The Correct Option is D

Step 1: Understanding the Question:
The objective is to find the monthly salary of a person given his structured monthly average expenditure across different months of a year and his annual savings.

Step 2: Key Formula or Approach:

• Total Annual Income = Total Annual Expenditure + Total Annual Savings
• Monthly Salary = $\frac{\text{Total Annual Income}}{12}$

Step 3: Detailed Explanation:

• First, calculate the expenditure from January to July (which spans 7 months): \[ \text{Expenditure}_{1} = 7 \text{ months} \times 3500 \text{ rupees/month} = 24,500 \text{ rupees} \]
• Next, calculate the expenditure from August to December (which spans 5 months): \[ \text{Expenditure}_{2} = 5 \text{ months} \times 3800 \text{ rupees/month} = 19,000 \text{ rupees} \]
• Calculate the total expenditure for the entire year: \[ \text{Total Annual Expenditure} = 24,500 + 19,000 = 43,500 \text{ rupees} \]
• Add the total annual savings to get the total income of the year: \[ \text{Total Annual Income} = 43,500 + 9,000 = 52,500 \text{ rupees} \]
• Calculate the monthly salary by dividing the total income by 12: \[ \text{Monthly Salary} = \frac{52,500}{12} = 4,375 \text{ rupees} \]

Step 4: Final Answer:
The monthly salary of the man is Rs 4375, which matches Option (D).