The average monthly income of a person in a certain family of 5 is Rs. 10,000. What will be the average monthly income of a person in the same family if the income of one person increased by Rs. 1,20,000 per year ?
- (a) Rs. 12,000 ✓ UPSC's answer
- (b) Rs. 16,000
- (c) Rs. 20,000
- (d) Rs. 34,000
Why the answer is (a)
• The total monthly income of the family of 5 is calculated as 5 multiplied by Rs. 10,000, which equals Rs. 50,000.
• The annual income increase for one person is Rs. 1,20,000, so the monthly increase is Rs. 1,20,000 divided by 12, which equals Rs. 10,000.
• The new total monthly income of the family is the original total plus the monthly increase: Rs. 50,000 + Rs. 10,000 = Rs. 60,000.
• The new average monthly income per person is the new total income divided by the number of family members: Rs. 60,000 / 5.
• This calculation results in Rs. 12,000, which corresponds to option (a).
Why the other options are wrong
- (b) Rs. 16,000
- Rs. 16,000 would imply a total monthly income of Rs. 80,000, which requires an incorrect monthly increase of Rs. 30,000.
- (c) Rs. 20,000
- Rs. 20,000 would imply a total monthly income of Rs. 1,00,000, which is double the correct new total income.
- (d) Rs. 34,000
- Rs. 34,000 is numerically inconsistent with the given data and likely results from adding the annual increase directly to the monthly average without proper conversion.
Asked in the CSAT Paper II of the UPSC Civil Services Preliminary Examination 2016, held on 7 August 2016. Question and answer key: Union Public Service Commission. Explanation: UPSC Answer Check.