Question

What is the number which when increased by $15\%$ becomes $414$.

Answer 1

Let the number be $x$.

$15\%=15/100=0.15$

When increased by $15\%$, implies that

$x$ is increased by $0.15$ times of $x$,

i.e.

$x+0.15x=414$

$1.15x=414$

$x=\frac{414}{1.15}$

Therefore,

$x=360$

The number is $360.$