A number when increased by 50 % gives 3780. The number is:

Correct option is B

Given:
A number is increased by 50%, and the result is 3780.
Concept Used:
If a number is increased by a certain percentage, the new number can be calculated as:

​$$\text{New Number} = \text{Original Number} + \left( \frac{\text{Percentage}}{100} \times \text{Original Number} \right)$$​
Solution:
Let the original number be x .
The number is increased by 50%, so the new number is:
x + 0.5x = 1.5x
According to the problem, the new number is 3780:
1.5x = 3780
x =$$\frac{3780}{1.5} = 2520$$

Option (B) is right.

Alternate Method:

A number is increased by 50% (Given)

$$\frac{150x}{100}$$=3780

x=$$\frac{3780}{1.5} = 2520$$

Option (B) is right.​​