Question

divide rs15600 into two parts such that the interest on one at 5 percent for 5 years may be equal to that on the other at 41/2 percent for 6 years

Answer 1

this is the answer for the question

Answer 2

1) Let the 1st part be x.

  P = x, R = 5%, T = 5.

We know that I = PRT/100

                          = x * 5 * 5/100

                          = x/4    ---- (1).


2) Let the 2nd part be (15600 - x).

    P = 15600 - x, R = 9/2%, T = 6.

We know that I = PRT/100

                          = (15600 - x) * 9 * 6/200

                          = (15600 - x) * 54/200

                          = (15600 - x) * 27/100    ---- (2).



On solving (1) and (2), we get

x/4 = (15600-x) * 27/100

100x/4 = (15600 - x)*27

25x = 421200 - 27x

x = 421200/52

   = 8100.


If the 1st part = 8100 then the 2nd part is 15600 - 8100 = 7500.


Hope this helps! :-))