Question
Download Solution PDFA college hostel mess has provisions for 25 days for 350 boys. At the end of 10 days, when some boys were shifted to another hostel, it was found that now the provisions will last for 21 more days. How may boys were shifted to another hostel?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A college hostel mess has provisions for 25 days for 350 boys.
At the end of 10 days, when some boys were shifted to another hostel, it was found that now the provisions will last for 21 more days.
Concept used:
Available provisions = Number of days × Number of boys
Calculation:
Available provisions = 25 × 350 = 8750 units
After 10 days the remaining provision = 8750 - 10 × 350
⇒ 5250 units
Let N number of boys shifted to another hostel.
According to the question,
(350 - N) × 21 = 5250
⇒ 350 - N = 5250/21
⇒ 350 - N = 250
⇒ N = 350 - 250
⇒ N = 100
∴ 100 boys were shifted to another hostel.
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