Question

A number increased by 15% becomes 391. Find the number.

Answer 1

Let the required number = x
∴ According to the statement,
15% of x + x = 391
⇒ `(15)/(100) xx x + x = 391`

⇒ `x[15/100 + 1] = 391`

⇒ `x[(15+100)/(100)] = 391`

⇒ `x xx(115)/(100) = 391`

⇒ `x = 391 xx (100)/(115)`

⇒ `x = (391 xx 100)/(115)`

= `(17 xx 100)/(5)`

⇒ x = 340
∴ Required number = 340