Management Aptitude Test 2017 Paper

(a) 15.95%
Let, the income of the person be ₹ x.
Savings of the person = ₹ $\frac{6\mathit{x}}{100}$
Expenditure $\left({\mathit{E}}_1\right)$ = ₹ $\left(\mathit{x}-\frac{6\mathit{x}}{100}\right)$ = ₹ $\frac{94\mathit{x}}{100}$
After two years,
Income increased by 15% = ₹ $\frac{115\mathit{x}}{100}$
Savings = ₹ $\frac{6\mathit{x}}{100}$
Expenditure $\left({\mathit{E}}_2\right)$ = ₹ $\frac{115\mathit{x}}{100}-\frac{6\mathit{x}}{100}$ = ₹ $\frac{109\mathit{x}}{100}$
Hike in his expenditure = $\frac{\left({\mathit{E}}_2-{\mathit{E}}_1\right)}{{\mathit{E}}_1}$ × 100
= $\left[\frac{\frac{109\mathit{x}}{100}-\frac{94\mathit{x}}{100}}{\frac{94\mathit{x}}{100}}\right]$ × 100
= $\frac{15\mathit{x}}{94\mathit{x}}$ x 100% = 15.95%