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A certain sum of money has been divided into two parts in the ratio $9:13$. If the second part is $₹\ 260$, find the total amount.
Given: A certain sum of money has been divided into two parts in the ratio $9:13$. The second part is $₹\ 260$.
To do: To find the total amount.
Solution:
The ratio of the division$=9:13$
Let the first part be $9x$ and second part be $13x$
Second part$13x=260$ [As given second part$=₹\ 260$]
$\Rightarrow x=\frac{260}{13}=20$
Therefore total amount $=9x+13x=22x$
$=22\times20=₹\ 440$
Thus, total amount is $₹\ 440$.
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