Question

An amount of money is to be divided between P, Q and R in the ratio of 2 : 5 : 7 respectively. If the total of P’s and R’s share is Rs. 800 more than Q’s share. What will be P’s share in it ?

Answer 1

Answer:

x=200

p=400

I am not sure about the answer but it might me correct

Answer 2

$\large\sf\underline{Given\::}$

• Ratio in which money is divided between P , Q and R = 2 : 5 : 7 .

• P's + R's share = Q's + 800

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$\large\sf\underline{To\:find\::}$

• Share of money that P will get.

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$\large\sf\underline{Assumption\::}$

Let the :

• P's share be 2x .

• Q's share be 5x .

• R's share be 7x .

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$\large\sf\underline{Solution\::}$

According to the question :

Sum of P and Q's share is more than that of Q's by Rs 800.

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So, let's frame the equation :

$\sf\:P's \:+ R's \:= Q's + 800$

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• Substituting the value we have assumed

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$\sf\implies\:2x\:+ 7x\: = 5x + 800$

$\sf\implies\:9x\: = 5x + 800$

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• Transposing 5x to other side

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$\sf\implies\:9x\: - 5x = 800$

$\sf\implies\:4x = 800$

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• Transposing 4 to other side

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$\sf\implies\:x =\cancel{\frac{ 800}{4}}$

$\large{\mathfrak\red{\implies\:x\:=\:200}}$

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Now let's substitute the value of x in the assumed values :

• P's share = 2 × 200 = $\small\fbox\purple{Rs\:400}$.

• Q's share = 5 × 200 = $\small\fbox\purple{Rs\:1000}$.

• R's share = 7 × 200 = $\small\fbox\purple{Rs\:1400}$.

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Let's now quickly verify our answers :

We know ,

$\sf\:P's \:+ R's \:= Q's + 800$

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• Let's substitute the value we got :

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$\sf\implies\:400\:+ 1400\: = 1000 + 800$

$\sf\implies\: 1800\: = 1800$

$\small{\underline{\boxed{\mathrm\pink{Hence\:Verified}}}}$

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$\dag\:\underline{\sf So\:the\:required\:share\:of\:P\:is\:Rs\:400.}$

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!! Hope it helps !!