Question

When a number is increased by 69, it becomes 103% of itself. What is the number?

A) 1300 B) 3300 C) 2300 D) 4300

Answer 1

Answer:-

$\sf{C) \ 2300 \ is \ correct \ option.}$

Given:

• When a number is increased by 69, it becomes 103% of itself.

To Find:

The number.

Solution:

$\sf{Let \ the \ number \ be \ x.}$

$\sf{103\% \ of \ number=\frac{103}{100}\times \ x}$

$\sf{\therefore{The \ number \ formed \ is \ \frac{103x}{100}}}$

$\sf{According \ to \ the \ given \ condition. }$

$\sf{x+69=\frac{103x}{100}}$

$\sf{\therefore{69=\frac{103x}{100}-x}}$

$\sf{\therefore{\frac{103x-100x}{100}=69}}$

$\sf{\therefore{3x=69\times100}}$

$\sf{\therefore{x=\frac{6900}{3}}}$

$\sf{\therefore{x=2300}}$

$\sf\purple{\tt{\therefore{The \ number \ is \ 2300.}}}$