Question : A man spends Rs. 2,300 monthly on average for the first four months and Rs. 1,800 monthly for the next eight months and saves Rs. 12,400 a year. Find his monthly income.
Option 1: Rs. 3,000
Option 2: Rs. 2,400
Option 3: Rs. 2,200
Option 4: Rs. 2,100
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Correct Answer: Rs. 3,000
Solution :
Given,
Average monthly expenditure for the first 4 months = Rs. 2,300
$\therefore$ Total expenditure for the first 4 months = 4 × 2,300 = Rs. 9,200
Average monthly expenditure for the next 8 months = Rs. 1,800
$\therefore$ Total expenditure for the next 8 months = 8 × 1,800 = Rs. 14,400
Annual savings = Rs. 12,400
$\therefore$ Total expenditure for the year = 9,200 + 14,400 = Rs. 23,600
So, Monthly income
= $\frac{\text{Total expenditure + Annual savings}}{12}$
= $\frac{23600 + 12400}{12}$
= $\frac{36000}{12}$
= Rs. 3,000
Hence, the correct answer is Rs. 3,000.
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