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?

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