A number when increased by 40 %', gives 3780. The number is:

Correct option is D

Given:

The number increased by 40% gives 3780.

Solution:
Let the number be x.
The equation for the increase by 40% is:

x + 40% of x = 3780

x + $$\frac{40}{100} \times$$​ x = 3780

x $$\left( 1 + \frac{40}{100} \right) =$$​3780

x $$\times$$​1.4 = 3780

x $$= \frac{3780}{1.4} = 27$$​00

So, the number is 2700.