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:
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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