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Answer:
⚘Question:
The monthly pocket money of Ravi and Sanjeev are in the ratio 5:7 their expenditure ratio is 9:13.If each saves rupees 40.Find their pocket money.
\sf\tt\large{\red {\underline {\underline{⚘\;Answer:}}}}⚘Answer:
The monthly pocket money of Ravi =$400
The monthly pocket money of Sanjeev =$560.
\sf\tt\large{\blue {\underline {\underline{⚘\;Given: }}}}⚘Given:
The monthly pocket money of Ravi and Sanjeev are in ratio 5:7 their expenditure ratio is 9:13.If each saves $40.
\sf\tt\large{\red {\underline {\underline{⚘\;To find:}}}}⚘Tofind:
Here we should find the pocket money of Ravi and Sanjeev.
\sf\tt\large{\green {\underline {\underline{⚘\;Solution:}}}}⚘Solution:
\sf\tt\large{\green {\underline {\underline{⚘\;Consider:}}}}⚘Consider:
\sf\tt\large{\red {\underline {\underline{⚘\;Case (i):}}}}⚘Case(i):
In the case of Ravi .
If we want to get the answer to this question we should convert the given question clues into a equation.Then we can solve.
Here,
Money savings =$40,Monthly pocket money =5m,Monthly expenditure is =9n
Then, here we get the equation that is
5m - 9n = 405m−9n=40
\sf\tt\large{\green {\underline {\underline{⚘\;Case (ii):}}}}⚘Case(ii):
In the case of Sanjeev
Money savings =$40,Monthly pocket money =7m,Monthly expenditure =13n
Then we get the equation that is,
7m - 13n = 407m−13n=40
Let,
Here we should change something else that is we should multiply the equation i in 7 and equation (ii) in 5
Then we get that,
35m - 63n = 280 - - - - (i)35m−63n=280−−−−(i)
35m - 65n =200 - - - - (ii)35m−65n=200−−−−(ii)
Now,
By subtracting two equations we get that,
+ 2n = 80+2n=80
n = \frac{80}{2} = 40n=280=40
Now,
Putting the value of n in equation 2 we get that,
7m - 13n = 407m−13n=40
7m-13 (40)=40
7m-520=40
7m=40+520
7m=560
m=560/7
m=80.
\sf\tt\large{\red {\underline {\underline{⚘\;Therefore:}}}}⚘Therefore:
Monthly pocket money of Ravi =5m=5×80=$400
Monthly pocket money of Sanjeev =7m=7×80=$560.
\large{\bf{\green{\mathfrak{\dag{\underline{\underline{Which \;is\;the \;required\; Answer}}}}}}}†WhichistherequiredAnswer
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Explanation:
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