Finding monthly salary from different spending averages and annual savings: A man spends an average of ₹1694.70 per month for the first 7 months and ₹1810.50 per month for the next 5 months. If he saves ₹3084.60 over the whole year, what is his monthly salary?

Difficulty: Easy

Correct Answer: ₹ 2000

Explanation:


Introduction / Context:
This problem converts two partial-year spending averages into an annual expenditure, adds annual savings to get total income, and then divides by 12 to obtain the monthly salary.


Given Data / Assumptions:

  • 7-month average spending = ₹1694.70
  • 5-month average spending = ₹1810.50
  • Annual savings = ₹3084.60


Concept / Approach:
Total yearly income = total expenditure + total savings. Compute both partial expenditures, sum them, add savings, and then divide by 12 to find the monthly income.


Step-by-Step Solution:
Expenditure (first 7) = 7 * 1694.70 = ₹11862.90Expenditure (next 5) = 5 * 1810.50 = ₹9052.50Total expenditure = ₹11862.90 + ₹9052.50 = ₹20915.40Total income = ₹20915.40 + ₹3084.60 = ₹24000.00Monthly salary = ₹24000 / 12 = ₹2000


Verification / Alternative check:
Over 12 months, spending plus savings exactly equals 12 salaries. The neat round figure confirms the arithmetic.


Why Other Options Are Wrong:
₹2400 and ₹3000 overshoot; ₹1000 is too small; ₹2500 does not match the computed totals.


Common Pitfalls:
Forgetting to add both partial expenditures correctly or neglecting to add savings to obtain total income.


Final Answer:
₹ 2000

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