Question : The difference between the value of the number increased by 20% and the value of the number decreased by 25% is 36. Find the number.
Option 1: 7.2
Option 2: 0.8
Option 3: 720
Option 4: 80
Correct Answer: 80
Solution :
Let the number be $100x$.
According to the question,
The difference between the number increased and the number decreased is 36.
⇒ $120x - 75x = 36$
⇒ $45x = 36$
$\therefore x = \frac{4}{5}$
So, the number $=100x=\frac{4}{5} × 100 = 80$
Hence, the correct answer is 80.
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