Question

Divide ₹ 10,400 among A, B and C in the ratio ½ : ⅓ : ¼ .

Answer 1

Step-by-step explanation:

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Answer 2

Answer :-

• Share of A = ₹4800.

• Share of B = ₹3200.

• Share of C = ₹2400.

Explanation :-

We have to divide ₹10400 among A,B,C.

● Share of A = $\sf{ \dfrac{1}{2} }$

● Share of B = $\sf{ \dfrac{1}{3} }$

● Share of C = $\sf{ \dfrac{1}{4} }$

Let a common be x.

$\bigstar$ According to the Question,

$\implies\sf{ \dfrac{1x}{2} + \dfrac{1x}{3} } + \dfrac{1x}{4} = 10400$

$\implies\sf{ \dfrac{6x + 4x + 3x}{12} = 10400}$

$\implies\sf{ \dfrac{13x}{12} = 10400}$

$\implies\sf{ 13x = 10400 \times 12}$

$\implies\sf{ 13x = 124800}$

$\implies\sf{ x = \dfrac{124800}{13}}$

$\implies\textsf{\textbf{ x = \pink{Rs. 9600} }}$

So,

$\bullet \: \: \sf{Share \: of \: A = \dfrac{1x}{2} = \red{Rs. \: 4800}} \\ \\ \bullet \: \: \sf{Share \: of \: B = \dfrac{1x}{3} = \red{Rs. \: 3200}} \\ \\ \bullet \: \: \sf{Share \: of \: C = \dfrac{1x}{4} = \red{Rs. \: 2400}}$