Question

ram and shyam have together Rs.400. If Rs.125 is given to each of them, then the ratio of their amounts will become 15:11. what is the difference in their amounts?

Answer 1

here is your answer.......

Answer 2

Given,

Ram and Shyam together have Rs. 400.

If Rs. 125 is given to each of them, then the ratio of their amounts will become = 15:11

To find,

The difference in their amounts.

Solution,

We can simply solve this mathematical problem using the following process:

Let us assume that Ram and Shyam have Rs. x and Rs. y, respectively.

Now, according to the question;

Ram and Shyam together have Rs. 400

=> Rs. x + Rs. y = Rs. 400

=> x+y = 400

=> y = 400-x

{Equation-1}

Now, according to the question;

When Rs. 125 is given to each of them,

Final amount with Ram = Rs. (x+125)

Final amount with Shyam = Rs. (y+125)

Now,

After Rs. 125 is given to each of them, the ratio of their amounts will become = 15:11

=> (Final amount with Ram)/(final amount with Shyam) = 15/11

=> (x+125)/(y+125)=15/11

=> 11(x+125) = 15(y+125)

=> 11x + 1375 = 15y + 1875

=> 11x = 15y + 500

=> 11x = 15(400-x) + 500

{according to equation-1}

=> 11x = 6000 - 15x + 500

=> 26x = 6500

=> x = 6500/26

=> x = 250

=> Initial amount of money with Ram = Rs. 250

Now, substituting the value of x in equation-1, we get;

y = 400-x = 400-250 = 150

=> y = 150

=> Initial amount of money with Shyam = Rs. 150

Now,

The difference in their amounts

= (initial amount of money with Ram) - (initial amount of money with Shyam)

= Rs. 250 - Rs. 150

= Rs. 100

Hence, the difference in the amounts with Ram and Shyam is equal to Rs. 100.