Question

Bhanu borrowed a certain sum of money at 12% per annum for 3 years and madhuri borrowed the same sum at 24% per annum for 10 years. Find the ratio of their amounts.

• A. 1 : 3
• B. 2 : 1
• C. 2 : 3
• D. 2 : 5

Answer 1

The correct option is D 2 : 5

Bhanu
$T_1$ = 3 years
$R_1$ =12%

$\therefore$ $\frac{P\times 12\times 3}{100}$ = $S{I}_1$

$A_1$ = $P$ + $\frac{P\times 12\times 3}{100}$ ......(1)
Madhuri
$T_2$ = 10 years
$R_2$ =24%

$\therefore$ $\frac{P\times 24\times 10}{100}$ = $S{I}_2$

$A_2$ = $P$ + $\frac{P\times 24\times 10}{100}$ ........(2)

Divide (1) &(2), we get

$=\frac{A_1}{A_2}=\frac{100+T_1{R}_1}{100+T_2{R}_2}$

$\frac{100+3\times 12}{100+10\times }$

$=\frac{136}{340}=\frac{2}{5}$

$\therefore A_1:A_2=2:5$