A Student spends 15% of his scholarship grant on food and 45% on tultion. After spending 50% of the remaining grant on his hostel fee, he is left with Rs 8,000 only. How much is his scholarship grant?
A Student spends 15% of his scholarship grant on food and 45% on tultion. After spending 50% of the remaining grant on his hostel fee, he is left with Rs 8,000 only. How much is his scholarship grant?
Explanation
Let's denote the total scholarship grant as "x".
The student spends:
- 15% on food: 0.15x
- 45% on tuition: 0.45x
So, after these expenses, he has:
x - 0.15x - 0.45x = 0.4x remaining.
He then spends 50% of this remaining amount on hostel fees:
0.5 * 0.4x = 0.2x
After this, he is left with Rs 8,000. So, we can set up the equation:
0.4x - 0.2x = 8000
Simplifying the equation:
0.2x = 8000
Dividing both sides by 0.2:
x = 40000
Therefore, the student's scholarship grant is Rs 40,000.