Question

ram and shayam ₹ 2500 and ₹3000 respectively at the same rate of simple interest of 4 years if sham paid an interest of ₹ 150 mor than ram find interest per annum​

Answer 1

Answer:

here is an example for you

Step-by-step explanation:

A borrowed 3000

interest=r

B borrowed 3500

n=3

Interest paid by B=  

100

pnr

​  

=  

100

(3500)(3)(r)

​  

 

=105r

Interest paid by A=  

100

pnr

​  

=  

100

(3000)(3)(r)

​  

 

=90r

Given, 105r−90r=150

r(15)=150

⇒r=10

∴ rate of interest =10% per annum.

Answer 2

Principle 0f sham ₹3000
Time=4 years
Rate = r
S.I={(3000 x 4x r)/100} =120r
Principle of ram = ₹2500
Time =4 years
S.I=(2500 x 4 x r)/100=100r
But given sham paid ₹150 more than ram let simple interest paid by Ram=x
Simple interest paid by Sham. =x+150.
So 120r/100r =x+150/x
12x=10(x+150)
12x=10x+1500
12x-10x=1500
2x=1500
x=1500/2=₹750
Simple interest paid by ram = ₹750
Simple interest paid by sham=₹750+150
=₹900
Rate of interest per annum =r
=(simple interest 100)pxt
r=900x100/3000x4=7.5%