SSC GD 2024 PYQ — Question 53

SSC GD Const (English) - 20 Feb 2024 - Shift 1 • Quantitative Aptitude • Q53

In a year, the average monthly expenditure of Sapna was Rs. 1100 for the first 3 months of the year. Rs. 1000 for the next 5 months and Rs. 1200 for the last 4 months. If the total annual saving was Rs. 1300, then what was Sapna's average monthly income?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. Rs. 1200.

Given that

Average monthly expenditure for the first 3 months = 1100

Average monthly expenditure for the next 5 months = 1000

Average monthly expenditure for the last 4 months = 1200

Formula used 

Average = sum of observations/ total number of observations

Total expenditure for the first 3 months is given by = 1100 × 3 = 3300
Total expenditure for the next 5 months is given by = 1000 × 5 = 5000

Total expenditure for the last 4 months is given by = 1200 × 4 = 4800

Total expenditure in the year = 3300 + 5000 + 4800 = 13100

Total annual savings = 1300

Hence, the total annual  income is given by = 13100 + 1300 = 14400

The total monthly income is given by = 1440012\frac{14400}{12} = 1200.