Question

Mark (✓) against the correct answer
A number decreased by 8% gives 69. The number is

(a) 80
(b) 75
(c) 85
(d) none of these

Answer 1

(b) 75
Let the required number be x.
Then, x − 8% of x = 69
⇒ $\left(x-\frac{8x}{100}\right)$ = 69
⇒ $\left(x-\frac{2x}{25}\right)$ = 69
⇒ $\left(\frac{25x-2x}{25}\right)$ = 69 [Since L.C.M. of 1 and 25 = 25]
⇒ $\left(\frac{23x}{25}\right)=69$
∴ x = $\left(\frac{69\times 25}{23}\right)$ = 75
Hence, the required number is 75