Question

1
5. Divide * 720 among A, B and C in the ratio =1/3 : 1/6 : 1/4 .
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Answer 1

Answer:

$:\implies\sf A:B:C=\dfrac{1}{3}:\dfrac{1}{6}:\dfrac{1}{4}\\\\{\scriptsize\qquad\bf{\dag}\:\:\texttt{Multiplying each term by 12.}}\\\\:\implies\sf A:B:C=\dfrac{1}{3} \times 12:\dfrac{1}{6} \times 12:\dfrac{1}{4} \times 12\\\\\\:\implies\sf A:B:C = 4 :2 :3$

$\rule{120}{1}$

Let the Shares of A, B and C be 4n, 2n and 3n respectively.

$\boxed{\bf{\mid{\overline{\underline{\bigstar\:According\:to\:the\:Question :}}}}\mid}$

$\dashrightarrow\tt\:\:A+B+C=720\\\\\\\dashrightarrow\tt\:\:4n+2n+3n=720\\\\\\\dashrightarrow\tt\:\:9n=720\\\\\\\dashrightarrow\tt\:\:n=\dfrac{720}{9}\\\\\\\dashrightarrow\:\:\underline{\boxed{\tt n=80}}$

$\rule{180}{2}$

$\bullet\:\:\textsf{A = 4n = 4(80) = \textbf{320}}\\\bullet\:\:\textsf{B = 2n = 2(80) = \textbf{160}}\\\bullet\:\:\textsf{C = 3n = 3(80) = \textbf{240}}$

Answer 2

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$\huge\tt{GIVEN:}$

• We have 720

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$\huge\tt{TO~FIND:}$

• Their divided form in the ratio 1/3 : 1/6 : 1/4

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$\huge\tt{SOLUTION:}$

We can also say that,

➠1/3 : 1/6 : 1/4 = 4 : 2 : 3

So,

Let the ratios be 4x, 2x , 3x

So, according to the question,

⇝ 4x + 2x + 3x = 720

⇝ 9x = 720

⇝ x = 720/9

⇝ x = 80

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Now, finding the values.....

➩4x = 4 × 80 = 320

➩2x = 2 × 80 = 160

➩3x = 3 × 80 = 240

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