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?
Answer: 40,000
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.
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