Question

Rs. 575 is to be divided into three parts proportional to 1/2 : 2/3 : 3/4 then the largest part is:

Answer 1

$\sf \frac{1}{2} : \frac{2}{3} : \frac{3}{4} = \frac{6}{12} : \frac{8}{12} : \frac{9}{12} \\ \\ \sf\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = > 6: 8: 9$

Now,

$\bf {1}^{st} \: part = 575 \times \frac{6}{23} \\ \\ \bf \: \: \: \: \: = > \: \: \: \: 25 \times 6 \\ \bf \: \: \: \: \: = > \: \: \: 150$

$\bf {2}^{nd} \: \: part = \frac{575 \times 8}{23} \\ \\ \bf\: \: \: \: \: \: \: = > 25 \times 8 \\ \bf \: \: \: \: \: \: \: = > 200$

$\bf {3}^{rd} \: \: part = \frac{575 \times 9}{23} \\ \\ \bf \: \: \: \: \: \: = > 25 \times 9 \\ \bf \: \: \: \: \: \: = > 225$

Hence,

$\red{ \sf {3}^{rd} \: \: part \: \: being \: \: { \small{\frac{3}{4} }} \: \: in \: the \: ratio \: \: posses }\\ \red {\sf \: largest \: amount \: among \: all.}$

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