Question : A number increased by $22\frac{1}{2}$% gives 98. The number is:
Option 1: 45
Option 2: 18
Option 3: 80
Option 4: 81
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Correct Answer: 80
Solution :
Given: A number increased by $22\frac{1}{2}$% gives 98.
Let the number be 100.
If we increase it by $22\frac{1}{2}$% we get = $(100+100×\frac{22.5}{100})=122.5$
Here, 122.5 is equivalent to 98
So, 100 is equivalent to $(\frac{98×100}{122.5})=\frac{98×100×10}{1225}=80$
Hence, the correct answer is 80.
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