Question

What is the number which when increased by 15% becomes 414?

Answer 1

Answer:

$\boxed{\textbf {The number is 360}}$

Step-by-step explanation:

$Let \ the \ number \ be \ ''a'' \\\\ 15\% \ of \ a=\frac{15}{100}a=0.15a\\\\ a \ when \ increased \ by \ 15\% \ becomes \ 414 \\\\ => a+0.15a=414 \\\\ => 1.15a=414 \\\\ => a=\frac{414}{1.15} \\\\ =>a=360 \\\\ \textbf{The number is 360}$