Management Aptitude Test 2014 Paper

(d ) Let the cost price of watch = ₹ x.
Now, loss = 10%
∴ Sale price = x - $\frac{\mathit{x}\times 10}{100}=\mathrm{₹}\frac{9}{10}\mathit{x}$
Now, according to question,
$\frac{9}{10}\mathit{x}$ + 27 = x + $\frac{\mathit{x}\times 5}{100}$
⇒ $\frac{9}{10}\mathit{x}$ + 27 = x + $\frac{\mathit{x}}{20}$
⇒ x + $\frac{\mathit{x}}{20}-\frac{9}{10}\mathit{x}$ = 27
⇒ $\frac{20\mathit{x}+\mathit{x}-18\mathit{x}}{20}$= 27
⇒ $\frac{3}{20}\mathit{x}$ = 27
⇒ x = $\frac{20\times 27}{3}$
∴ x = ₹ 180
∴ CP = ₹ 180, Loss = 10% of ₹ 180 = ₹ 18
and profit = 5% of ₹ 180 = ₹ 9
∴ Required percentage = $\frac{18}{9}$ x 100% = 200%