1000 children in a hostel had enough food for 28 days. After 4 days, some students were shifted to another hostel. As a result the food now lasted for 32 days. How many students were shifted?
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1000 children in a hostel had enough food for 28 days. After 4 days, some students were shifted to another hostel. As a result the food now lasted for 32 days. How many students were shifted?
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Let the number of students shifted be .
Number of students(x)-: 1000 1000-x
Number of days-: 28 32
As the number of students increase food remains for less days (inverse variation)
1000 × 28 = (1000 - x) × 32
x = 1000 - 875 = 125
∴ 125 students were shifted.