Simple Interest Practice Test 3

Let three parts be Rs. a, Rs. b and Rs. c respectively; then,
$\frac{\mathit{a}\times 6\times 3}{100}=\frac{\mathit{b}\times 6\times 4}{100}=\frac{\mathit{c}\times 6\times 5}{100}$
$\Rightarrow 3\mathit{a}=4\mathit{b}=5\mathit{c}$
∴ a : b : c = 20 : 15 : 12
Sum of proportionals = 20 + 15 + 12 = 47
a = $\frac{20}{47}\times 2444$ = Rs. 1040
b = $\frac{15}{47}\times 2444$ = Rs. 780
and, c = $\frac{12}{47}\times 2444$ = Rs. 624