Question

the simple interest on a sum of money for 5 years at 7% p.a is Rs 800 more than the simple interest on the same sum of 3 years at 9% per annum find the original sum​

Answer 1

Answer:

10000

Step-by-step explanation:

hope it will be helpful

Answer 2

Let the original sum i.e. principal amount be x

Now, for first condition:- P= x, R= 7%, T= 5 Years

So, from formula, SI = (P*R*T)/100

SI = (x*7*5)/100  ..... (i)

Again for second condition:- P = x, R = 9%, T = 3 years

SI = (x*9*3)/100 ......(ii)

According to the question, SI on the original sum is 800 more,

so, (x*7*5)/100 = (x*9*3)/100 + 800

 --  35x/100 = (27x + 80000)/100

 --  35x = 27x + 80000

 --  8x = 80000

 -- x = 10000

Hence, the original amount is Rs 10000