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 $\dfrac{4}{7}$ 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 $\dfrac{4}{7}$ of what Rahul had left.

$(x-350)=\dfrac{4}{7}\times (x-95)$

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

$7x-2450=4x-380$

Isolate the variable terms.

$7x-4x=2450-380$

$3x=2070$

$x=\dfrac{2070}{3}$

$x=690$

Now, the remaining amount of Rahul is:

$x-95=690-95$

$x-95=595$

Therefore, the correct option is B.