Question

A number when decreased by 16% becomes 798 ; find the number.

Answer 1

Let the number = 100
By the given condition,
`x - (x xx 16)/(100)` = 798

⇒ `(100x - 16x)/(100)` = 798

⇒ `(84)/(100)x`  = 798

⇒ `x = (798 xx 100)/(84)`

= `(114 xx 100)/(12)`

= `(114 xx 25)/(3)`

= 38 x 25

= 950

∴ The required number = 950