Question

Mahesh borrowed a certain sum for two years at simple interest from bhim.Mahesh lent this sum to vishnu at the same rate for two years compound interst.At the end of two years,MAhesh recieved rupees 410 as compound interest but paid rupees 400 as simple interest.find the sum and rate of interest

Answer 1

Given

Ci=410

Si=400

After two yr

Total simple interest paid=400

And we know that the simple interest of every yr is same

So simple intrest of one yr =400/2

=200

Now

In first yr si and Ci are same

Change take place because we take interest on last year interest in compound interest

So now we can find rate of interest

P=200
Interest =10

T=1

Interest = pxrxt /100

10=200x r x 1/100

10=2 r

R=5%


Now we have rate of interest and si for 2 yr


Si=400
T=2
R=5%

Si=pxrxt /100

400=px5 x 2 /100

P=40000/10

P=4000

This is ur ans hope it will help you in case of any doubt comment below