Monthly income from expenditures and savings: The average expenditure for the first 5 months is Rs 120 and for the next 7 months is Rs 130. If the man saves Rs 299 in the year, what is his average monthly income?

Difficulty: Medium

Correct Answer: Rs 150.75

Explanation:


Introduction / Context:
Average income can be deduced from total expenditure plus total savings across the year. The problem provides averages for two blocks of months and the total annual savings.

Given Data / Assumptions:

  • First 5 months average spend = Rs 120
  • Next 7 months average spend = Rs 130
  • Annual savings = Rs 299
  • Months in year considered = 12


Concept / Approach:
Total income = total expenditure + total savings. Average monthly income = total income / 12.

Step-by-Step Solution:

Expenditure for first 5 months = 5 * 120 = 600Expenditure for next 7 months = 7 * 130 = 910Total annual expenditure = 600 + 910 = 1510Total income = 1510 + 299 = 1809Average monthly income = 1809 / 12 = 150.75


Verification / Alternative check:
Average spend over 12 months = 1510/12. Adding average saving per month 299/12 yields 150.75. Same result.

Why Other Options Are Wrong:

  • Rs 150, Rs 160, Rs 170: Do not equal the exact computed average 150.75.


Common Pitfalls:
Using an approximate value or rounding too early instead of keeping the exact fraction for the final average.

Final Answer:

Rs 150.75

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