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94% of the population of a village is 22,560. The total population of the village is:
24,000
25,640
24,936
32,256
24,000
Notice that 22,560÷94=240. Multiplying by 100 gives 24,000.
94% of the population = 22,560. We need to find the total (100%) population.
Total Population=PercentagePart×100
Notice that 22,560÷94=240. Multiplying by 100 gives 24,000.
Confusing 94% with 96% or performing the division incorrectly by not recognizing that 2256÷94 is exactly 24.
Set up the equation
Let the total population be P. Given that 94% of P is 22,560, we write the equation 0.94×P=22,560.
0.94×P=22,560
Solve for P
Isolate P by dividing both sides by 0.94.
P=0.9422,560=942,256,000
Calculate the value
Performing the division 2256÷94=24, therefore 22560÷94=240. Then 240×100=24,000.
P=24,000
A is correct because the total population calculated by dividing 22,560 by 0.94 results in 24,000.
This type of percentage base calculation is foundational for profit and loss problems where you need to calculate Cost Price from Selling Price given a percentage gain or loss.
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