Management Aptitude Test 2014 Paper

(b ) Let the first amount lent out @ 6% = ₹ x
and the second amount lent out @ 5% = ₹ (38800 - x)
Ratio of interest = 5 : 4
$\frac{\mathit{x}\times 6\times 6}{100}$ :$\frac{\left(38800-\mathit{x}\right)\times 5\times 2}{100}$ = 5 : 4
⇒ $\frac{\frac{\mathit{x}\times 6\times 6}{100}}{\frac{\left(38800-\mathit{x}\right)\times 5\times 2}{100}}$ = $\frac{5}{4}$
⇒ $\frac{36\mathit{x}}{\left(38800-\mathit{x}\right)\times 10}$= $\frac{5}{4}$
⇒ $\frac{18\mathit{x}}{\left(38800-\mathit{x}\right)\times 5}$ = $\frac{5}{4}$
⇒ 72x = 970000 - 25x
⇒ 97x = 970000
∴ x =10000
∴ So, second part of money that was lent out @ 5% = 38800 - 10000 = ₹ 28800