Given:
Rahul and Swapnil brought an equal amount of money for shopping.
Rahul spend rupees 95 and Swapnil spend rupees 350.
After that Swapnil had [tex]\dfrac{4}{7}[/tex] of what Rahul had left.
To find:
How much money did Rahul have left after shopping.
Solution:
Let x be the amount brought by both Rahul and Swapnil.
Rahul spend rupees 95 and Swapnil spend rupees 350. So, the remaining amounts are:
Rahul's remaining amount = [tex]x-95[/tex]
Swapnil's remaining amount = [tex]x-350[/tex]
After that Swapnil had [tex]\dfrac{4}{7}[/tex] of what Rahul had left.
[tex](x-350)=\dfrac{4}{7}\times (x-95)[/tex]
[tex]7(x-350)=4(x-95)[/tex]
[tex]7x-2450=4x-380[/tex]
Isolate the variable terms.
[tex]7x-4x=2450-380[/tex]
[tex]3x=2070[/tex]
[tex]x=\dfrac{2070}{3}[/tex]
[tex]x=690[/tex]
Now, the remaining amount of Rahul is:
[tex]x-95=690-95[/tex]
[tex]x-95=595[/tex]
Therefore, the correct option is B.
