Exams › IBPS PO › Quantitative Aptitude

A class consists of \(x\) persons and their average weight is 48 kg. If a person weighing 68 kg is replaced by a person weighing 72 kg, the average increases by 0.25 kg. If the value of \(x\) is increased by 25% and the average weight of the persons is decreased by 50%, find the new total weight.

1. 780 kg
2. 480 kg
3. 720 kg
4. 640 kg

Correct answer: 480 kg

Solution

The replacement increases total weight by 4 kg, which causes the average to rise by 0.25 kg, so the number of persons is 16. Increasing the number by 25% gives 20 persons, and decreasing the average by 50% gives 24 kg. Thus the new total weight is 20 × 24 = 480 kg.

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