Question

A number decreased by 23 % becomes 539. Find the number.

Answer 1

Let the number = x
According to the statement,
x - 23% of x = 539

⇒ `x - (23)/(100) xx x` = 539

⇒ `x[1 - 23/100]` = 539

⇒ `x[(100 - 23)/(100)]` = 539

⇒ `x xx (77)/(100)` = 539

⇒ `x = 539 xx (100)/(77)`

⇒ x = `(539 xx 100)/(77)`

= 7 x 100
⇒ x = 700
∴ Required number = 700