Question

Divide Rs. 3400 among A,B and C. so that A gets 3/4 of what B gets and B gets 2/5 of what c gets. Find the share of each.​

Answer 1

$\Huge{\bf{\mathtt{\pink{AnSweR}}}}$

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$\LARGE{\bf{\mathtt{\purple{GivEn}}}}$

• Amount = 3400

• Total shares = 03

• A's share = ¾ of B

• B's share = ⅖ of C

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$\LARGE{\bf{\mathtt{\purple{ToFinD}}}}$

• Share of each..

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$\LARGE{\bf{\mathtt{\purple{ConSeDeRinG}}}}$

• C's share = ? = א

• B's share = ⅖ of x

• A's share = ¾ of ⅖x

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$\LARGE{\bf{\mathtt{\purple{SoLuTioN}}}}$

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$\large{\bf{\mathtt{\boxed{A\:+\:B\:+\:C\:=\:3400}}}}$

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➜ $\large{\bf{\mathtt{\frac{3}{4}}}}$ × $\large{\bf{\mathtt{\frac{2x}{5}}}}$ + $\large{\bf{\mathtt{\frac{2x}{5}}}}$ + x = 3400

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➜ $\large{\bf{\mathtt{\frac{6x}{20}}}}$ + $\large{\bf{\mathtt{\frac{2x}{5}}}}$ + x = 3400

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to make dinominators equal , take LCM of 20 & 5 .

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$\begin{array}{r | l}</p><p>20 & 5 \\</p><p>\hline{2-2} 2 & 20,5 \\</p><p>\hline{2-2} 2 & 10,5 \\</p><p>\hline{2-2} 5 & 5,5 \\</p><p>\hline{2-2} & 1,1</p><p>\end{array}$

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LCM = 2 × 2 × 5 = 20

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➜ $\large{\bf{\mathtt{7x+x=3400}}}$

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➜ $\large{\bf{\mathtt{8x=3400}}}$

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➜ x = $\large{\bf{\mathtt{\frac{3400}{8}}}}$

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➜ $\large{\bf{\mathtt{\pink{\boxed{X\:=\:425}}}}}$

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Answer 2

Answer:

x = 425

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