Question

Mark (✓) against the correct answer
A number decreased by 40% gives 135. The number is

(a) 175
(b) 200
(c) 250
(d) 225

Answer 1

(d) 225
Let x be the number.
According to question, we have:
x − 40% of x = 135
⇒ $\left(x-\frac{40x}{100}\right)=135$
⇒ $\left(\frac{100x-40x}{100}\right)=135$
⇒ $\left(\frac{60x}{100}\right)=135$
⇒ x = $\left(\frac{135\times 100}{60}\right)$ = 225
Hence, the required number is 225