Question

Rahul and Swapnil brought an equal amount of money for shopping. Rahul spend rupees 95 and Swapnil spend rupees 350. after that Swapnil had 4/7 of what Rahul had left. how much money did Rahul have left after shopping.

A. 27
B. 36
C. 45
D. 54​

Answer 1

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
`(4)/(7)` 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 =
`x-95`

Swapnil's remaining amount =
`x-350`

After that Swapnil had
`(4)/(7)` of what Rahul had left.

`(x-350)=(4)/(7)* (x-95)`

`7(x-350)=4(x-95)`

`7x-2450=4x-380`

Isolate the variable terms.

`7x-4x=2450-380`

`3x=2070`

`x=(2070)/(3)`

`x=690`

Now, the remaining amount of Rahul is:

`x-95=690-95`

`x-95=595`

Therefore, the correct option is B.