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) 70

Solution

## (a) 60 Let the number be x. According to question, we have: (35% of x ) + 39 = x ⇒ $\left(\frac{35}{100}×x\right)+39=x$ ⇒ $\left(\frac{7x}{20}\right)+39=x$ ⇒ $\left(x-\frac{7x}{20}\right)=39$ ⇒ $\left(\frac{20x-7x}{20}\right)=39$ ⇒ $\left(\frac{13x}{20}\right)=39\phantom{\rule{0ex}{0ex}}$ ∴ x = $\left(\frac{39×20}{13}\right)$ = 60 Hence, the required number is 60.MathematicsRS Aggarwal (2017)Standard VII

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