Question

Rs. 22400 is to be divided among four persons Krishna, Megha, Madhav and Sahil in such a way that ratio of share of Megha and Krishna is 2:1.
Madhav and Megha is 1:3 and Sahil and Madhav is 3: 2 respectively. What is the share of Krishna and Madhav together
O Rs. 8000
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O Rs. 9000
Ó Rs. 6000
Rs. 7000
WWW
O None of these​

Answer 1

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⇢ Krishna and Madhava will get a sum of 8000 rupees together.

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Total Money = Rs 22400

Ratio of Megha : Krishna = 2:1

Madhav : Megha = 1:3

Sahil : Madhava = 3 : 2

${\boxed{\mathtt{\green{Solution}}}}$

$\implies \: \frac{ \: Megha}{ \:Krishna} = \frac{2}{1}$

On the other hand

$\implies \: \frac{Madhava}{Megha} \: = \: \frac{1}{3}$

Here Megha is common in both ratios .So

Multiple the 1st fraction with 3 and 2nd with 2

Megha : Krishna = 6 : 3

Madhav : Megha = 2 : 6

⇢ Megha : Madhav : Krishna = 6 : 2 : 3

Now taking 3rd Ratio

$\implies \: \frac{Sahil}{Madhav} = \frac{3}{2}$

Here Madhav is common . So

⇢ Megha : Madhav : Krishna: Sahil = 6 : 2 : 3 : 3

⇢ 6x + 2x + 3x +3x = 22400

⇢ 14x = 22400

⇢ x = 1600

Sum of Krishna and Madhava = 3x+2x = 5x

⇢ 5(1600) = 8000

Answer is Rs 8000

Answer 2

$\huge{\fbox{\fbox{\bigstar{\mathfrak{\red{Problem:-}}}}}}$

Rs. 22400 is to be divided among four persons Krishna, Megha, Madhav and Sahil in such a way that ratio of share of Megha and Krishna is 2:1.

Madhav and Megha is 1:3 and Sahil and Madhav is 3: 2 respectively. What is the share of Krishna and Madhav together

$\huge{\fbox{\fbox{\bigstar{\mathfrak{\red{Answer:-}}}}}}$

⇢ Krishna and Madhava will get a sum of 8000 rupees.

_________________________

GIVEN:-

Total Money = Rs 22400

Ratio of Megha : Krishna = 2:1

Madhav : Megha = 1:3

Sahil : Madhava = 3 : 2

_________________________

Calculating:-

Firstly,

$\begin{lgathered}\implies \: \frac{ \: Megha}{ \:Krishna} = \frac{2}{1} \\\end{lgathered}$

________________________________

Secondly,

$\begin{lgathered}\implies \: \frac{Madhava}{Megha} \: = \: \frac{1}{3} \\\end{lgathered}$

_________________________

Megha is common in both ratios .So, we'll Multiply the 1st fraction with 3 and 2nd with 2

Megha : Krishna = 6 : 3

Madhav : Megha = 2 : 6

⟹Megha : Madhav : Krishna = 6 : 2 : 3

________________________________

Thirdly,

$\begin{lgathered}\implies \: \frac{Sahil}{Madhav} = [\frac{3}{2} \\\end{lgathered}$

_________________________

Madhav is common,

⟹ Megha : Madhav : Krishna: Sahil = 6 : 2 : 3 : 3

⟹ 6x + 2x + 3x +3x = 22400

⟹ 14x = 22400

⟹ x = 1600

Sum of Krishna and Madhava = 3x + 2x = 5x

_________________________

⟹5(1600)

⟹5×1600

⟹8000

Answer ➩ ₹8000