Question

Mark (✓) against the correct answer
If 11% of a number exceeds 7% of the number by 18, the number is

(a) 72
(b) 360
(c) 450
(d) 720

Answer 1

(c) 450

Let x be the number.
(11% of x) − (7% of x) = 18
⇒$\left(\frac{11x}{100}-\frac{7x}{100}\right)=18$
⇒ $\frac{4x}{100}=18$
∴ x = $\left(\frac{18\times 100}{4}\right)=\left(18\times 25\right)=450$
Hence, the required number is 450