Question

 A, B, and C started a business by investing Rs.120000, Rs.135000 and Rs.150000 respectively. Find the share of C, out of an annual profit of Rs.56700. *​

Answer 1

$Investment \:of \: A = Rs\:120000$

$Investment \:of \: B= Rs\:135000$

$Investment \:of \: C = Rs\:150000$

$Ratio \: of \: investments$

$A : B : C$

$= 120000 : 135000 : 150000$

$= 8 : 9 : 10$

$Sum \:of \:the \: ratios$

$= 8 + 9 + 10$

$= 27$

$Total \: profit = Rs \: 56700$

$\implies 27 \:parts = 56700$

$\implies 1 \:part = \frac{56700}{27}$

$\implies 1\:part = 2100$

$Profit \: distributed \: in \:the \: ratio \: of$

$corresponding \: investments .$

$\red{ Profit \:of \: C }$

$= 10 \:parts$

$= 10 \times Rs \:2100$

$= Rs \:21000$

Therefore.,

$\red{ Profit \:of \: C } \green {= Rs \:21000 }$

•••♪

Answer 2

$\bf{\underline{\underline{\bigstar\bigstar\: Solution }}}$

$\:$

$\footnotesize{ Ratio \: of \: their \: investment}$

$\footnotesize{\implies 120,000 : 135,000 : 150,000}$

$\footnotesize{\implies 8 : 9 : 10}$

$\:$

$\footnotesize{\text{Let, \: the \: multiple \: of \: ratio \: be \: x}}$

$\:$

$\footnotesize{Total \: profit = 56,700}$

$\footnotesize{\implies 8x + 9x + 10x = 56,700}$

$\footnotesize{\implies 27x = 56,700}$

$\footnotesize{\implies x = \dfrac{56,700}{27}}$

$\footnotesize{\implies x = 2,100}$

$\:$

$\footnotesize{Share \: of \: C = 10x}$

$\footnotesize{\implies Share \: of \: C = 10 \times 2,100}$

$\footnotesize{\implies 21,000}$

$\:$

$\bold{Answer = 21,000}$