Question

Mark (✓) against the correct answer
If 35% of a number added to 39 is the number itself, the number is

(a) 60
(b) 65
(c) 75
(d) 105

Answer 1

(a) 60
Let x be the number.
According to question, we have:
(35% of x ) + 39 = x
⇒ $\left(\frac{35}{100}\times x\right)+39=x$
⇒ $\left(\frac{7x}{20}\right)+39=x$
⇒ $\left(x-\frac{7x}{20}\right)=39$
⇒ $\left(\frac{20x-7x}{20}\right)=39$
⇒ $\left(\frac{13x}{20}\right)=39$
∴ x = $\left(\frac{39\times 20}{13}\right)$ = 60
Hence, the required number is 60