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The average expenditure of a man for the first five months is Rs. 1200 and for the next seven months is Rs. 1300. Find his monthly average income if he saves Rs. 2900 during the year ?
- a)Rs. 1500
- b)Rs. 1475
- c)RS. 1450
- d)Rs. 1425
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The average expenditure of a man for the first five months is Rs. 1200...
Let his monthly salary be x rupees.
So, 5 (x - 1200) + 7 (x-1300) = 2900
12x - 6000 - 9100 = 2900
So, x = 18000/12 = 1500
Most Upvoted Answer
The average expenditure of a man for the first five months is Rs. 1200...
The Problem:
The problem states that the average expenditure of a man for the first five months is Rs. 1200 and for the next seven months is Rs. 1300. We need to find the man's monthly average income if he saves Rs. 2900 during the year.
Understanding the Problem:
To solve this problem, we need to understand the concept of average expenditure and average income. The average expenditure is the total amount spent divided by the number of months, while the average income is the total income earned divided by the number of months.
Solution:
Let's assume the monthly average income of the man as 'x'.
Step 1: Find the total expenditure for the first five months.
The average expenditure for the first five months is given as Rs. 1200. Therefore, the total expenditure for the first five months can be calculated as:
Total Expenditure for first five months = Average Expenditure * Number of Months
Total Expenditure for first five months = Rs. 1200 * 5 = Rs. 6000
Step 2: Find the total expenditure for the next seven months.
The average expenditure for the next seven months is given as Rs. 1300. Therefore, the total expenditure for the next seven months can be calculated as:
Total Expenditure for next seven months = Average Expenditure * Number of Months
Total Expenditure for next seven months = Rs. 1300 * 7 = Rs. 9100
Step 3: Find the total income for the year.
The total income for the year can be calculated as the sum of total expenditure and total savings.
Total Income = Total Expenditure + Total Savings
Total Income = Rs. 6000 + Rs. 9100 + Rs. 2900 = Rs. 18000
Step 4: Find the monthly average income.
The monthly average income can be calculated by dividing the total income by the number of months in a year.
Monthly Average Income = Total Income / Number of Months
Monthly Average Income = Rs. 18000 / 12 = Rs. 1500
Therefore, the man's monthly average income is Rs. 1500.
Conclusion:
The monthly average income of the man is Rs. 1500.
The problem states that the average expenditure of a man for the first five months is Rs. 1200 and for the next seven months is Rs. 1300. We need to find the man's monthly average income if he saves Rs. 2900 during the year.
Understanding the Problem:
To solve this problem, we need to understand the concept of average expenditure and average income. The average expenditure is the total amount spent divided by the number of months, while the average income is the total income earned divided by the number of months.
Solution:
Let's assume the monthly average income of the man as 'x'.
Step 1: Find the total expenditure for the first five months.
The average expenditure for the first five months is given as Rs. 1200. Therefore, the total expenditure for the first five months can be calculated as:
Total Expenditure for first five months = Average Expenditure * Number of Months
Total Expenditure for first five months = Rs. 1200 * 5 = Rs. 6000
Step 2: Find the total expenditure for the next seven months.
The average expenditure for the next seven months is given as Rs. 1300. Therefore, the total expenditure for the next seven months can be calculated as:
Total Expenditure for next seven months = Average Expenditure * Number of Months
Total Expenditure for next seven months = Rs. 1300 * 7 = Rs. 9100
Step 3: Find the total income for the year.
The total income for the year can be calculated as the sum of total expenditure and total savings.
Total Income = Total Expenditure + Total Savings
Total Income = Rs. 6000 + Rs. 9100 + Rs. 2900 = Rs. 18000
Step 4: Find the monthly average income.
The monthly average income can be calculated by dividing the total income by the number of months in a year.
Monthly Average Income = Total Income / Number of Months
Monthly Average Income = Rs. 18000 / 12 = Rs. 1500
Therefore, the man's monthly average income is Rs. 1500.
Conclusion:
The monthly average income of the man is Rs. 1500.
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The average expenditure of a man for the first five months is Rs. 1200 and for the next seven months is Rs. 1300. Find his monthly average income if he saves Rs. 2900 during the year ?a)Rs. 1500b)Rs. 1475c)RS. 1450d)Rs. 1425Correct answer is option 'A'. Can you explain this answer?
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