Sudha decide to donate 12% of her monthly income to an orphanage. On the day of donation, she changed her decision and donate a sum of Rs. 3,600, which was equal to 60% of what she had decided earlier. What is her monthly income (in Rs.)?
- A50,000
- B52,500
- C60,000
- D55,000
Solution & Step-by-step Explanation
Let Sudha's monthly income be x.
Initially decided donation amount = 12% of x=0.12x
The actual donation is Rs. 3,600, which is 60% of the initial decision:
3600=60% of (0.12x)
3600=
100
60
×
100
12
×x
3600=
10000
720
×x
3600=
1000
72
×x
Solving for x:
x=
72
3600×1000
x=50×1000=50,000
Her monthly income is Rs. 50,000.
Initially decided donation amount = 12% of x=0.12x
The actual donation is Rs. 3,600, which is 60% of the initial decision:
3600=60% of (0.12x)
3600=
100
60
×
100
12
×x
3600=
10000
720
×x
3600=
1000
72
×x
Solving for x:
x=
72
3600×1000
x=50×1000=50,000
Her monthly income is Rs. 50,000.