Question

What number decreased by 12% of itself gives 1584?

Answer 1

Let the number be x.
Therefore,

`x - (12)/(100) xx x` = 1584

⇒ `(100x - 12x)/(100)` = 1584

⇒ 88x = 1584 x 100

⇒ x = `(1584 xx 100)/(88)`
⇒ x = 1800
Hence, 1800 is the number.