A number when increased by 47 $$\frac12$$​%, gives 590 . The number is:

Correct option is D

Given:

A number is increased by 47$$\frac{1}{2} \%$$​ and results in 590.

Concept Used:

x $$\times \left( 1 + \frac{p}{100} \right) = \text{New Value}$$​

Solution:

$$47\frac{1}{2} \% = \frac{95}{2} \%= \frac{95}{2} \times \frac{1}{100} = \frac{95}{200}\\ \ \\1 + \frac{95}{200} = \frac{295}{200}\\ \ \\x \times \frac{295}{200} = 590\\ \ \\x = 590 \times \frac{200}{295}\\ \ \\x = \frac{118000}{295}\\ \ \\$$​

x = 400