Ramagya spends 22% of his salary on house rent and 75% of the rest on household expenses. If he saves ₹3,705, find his total income (in rupees).
- A₹21,000
- B₹19,000
- C₹18,000
- D₹17,000
Solution & Step-by-step Explanation
Let the total salary of Ramagya be x.
Amount spent on house rent = 22% of x
Remaining salary = 100%−22%=78% of x=0.78x
He spends 75% of this remaining amount on household expenses.
Therefore, the percentage of the remaining salary saved = 100%−75%=25%
Savings = 25% of 78% of x
Given that savings = ₹3,705:
100
25
×
100
78
×x=3705
4
1
×
100
78
×x=3705
400
78
×x=3705
x=
78
3705×400
Dividing 3705 by 78:
3705÷78=47.5
x=47.5×400=19,000
So, his total income is ₹19,000.
Amount spent on house rent = 22% of x
Remaining salary = 100%−22%=78% of x=0.78x
He spends 75% of this remaining amount on household expenses.
Therefore, the percentage of the remaining salary saved = 100%−75%=25%
Savings = 25% of 78% of x
Given that savings = ₹3,705:
100
25
×
100
78
×x=3705
4
1
×
100
78
×x=3705
400
78
×x=3705
x=
78
3705×400
Dividing 3705 by 78:
3705÷78=47.5
x=47.5×400=19,000
So, his total income is ₹19,000.