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7/10 of peter's money is equal to 2/5 of jack's money.they have altogether 8250. how much more money does jack have than peter

Answer :

TPS
Let Peter's money = p
Jack's money = j

According to the question
[tex] \frac{7}{10}\ p= \frac{2}{5}\ j \\ \\p=\frac{10}{7} \times \frac{2}{5}\ j =\frac{4}{7}\ j [/tex]

[tex]total \ money=8250\\p+j=8250\\ \Rightarrow \frac{4}{7}j+j=8250 \\ \Rightarrow \frac{4+7}{7}j=8250 \\ \Rightarrow \frac{11}{7}j=8250 \\ \Rightarrow j= \frac{7}{11} \times 8250 =5250[/tex]
[tex]p=8250-j\\p=8250-5250\\p=3000[/tex]

So Jack has Rs. 5250
Peter has Rs. 3000

So Jack has = 5250 - 3000 = Rs. 2250
Jack has Rs. 2250 more than Peter.

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