A number is increased by 15% and then decreased by 25% and the number becomes 22 less than the original number. The original number is :

Answer: Option B

Let the number is = 100x
Now after 15% of increase = 100x + 15% of 100x = 115x
Now 25% decrease = 115x - 25% of 115x = 115x - 28.75x = 86.25x
Actual decreased = 100x - 86.25x = 13.75x
According to the question,
13.75x = 22
x = $$\frac{22}{13.75}$$
100x = $$\frac{22}{13.75}$$   × 100 = 160
∴ Original number = 160