A number when increased by $$57\frac{1}{2}$$%, gives 378. The number is:​

Correct option is A

Given:

A number is increased by $$57\frac{1}{2}\%$$​, and the result is 378.

We are to find the original number.

Solution:

Let the original number be x

Then,

x + 57.5 of  x = 378

x$$\left(1 + \frac{57.5}{100}\right)$$​= 378

x$$\times \frac{315}{200}$$​ = 378

x = $$\frac{378 \times 200}{315}= \frac{75600}{315}$$​ = 240