A man donates 5% of his monthly income to an orphanage and deposits 20% of the remaining income in a bank. If he is left with Rs. 14,250, find his monthly income.
- ARs. 18,750
- BRs. 19,250
- CRs. 17,500
- DRs. 20,500
Solution & Step-by-step Explanation
Let the total monthly income of the man be Rs. I.
He donates 5% to an orphanage, so the remaining income is:
Remaining
1
=I×(100−5)%=0.95I
He deposits 20% of this remaining income in a bank, so the final remaining amount is:
Final Remaining=0.95I×(100−20)%=0.95I×0.80=0.76I
Given that the final remaining amount is Rs. 14,250:
0.76I=14250
I=
0.76
14250
=18750
Thus, his monthly income is Rs. 18,750.
He donates 5% to an orphanage, so the remaining income is:
Remaining
1
=I×(100−5)%=0.95I
He deposits 20% of this remaining income in a bank, so the final remaining amount is:
Final Remaining=0.95I×(100−20)%=0.95I×0.80=0.76I
Given that the final remaining amount is Rs. 14,250:
0.76I=14250
I=
0.76
14250
=18750
Thus, his monthly income is Rs. 18,750.