Question

a sum of money lent out a simple interest amounts to ₹2200 in one year and to₹2800 in 4 years . find the sum of money and rate of interest​

Answer 1

Answer:

Let the Principal be P

So as per conditions after 4 years: P+(P*R*4/100)=2800

As per 2nd condition P+(P*R*1/100)=2200

Subtract 2equation from 1

3P*R/100=600

P*R=20000

Put the value of P*R in equation 1

P+(20000*4/100)=2800 =>P=2000

R=10%5 years ago

Answer 2

Answer:

Here you go ............

Step-by-step explanation:

Amount = principal + interest

Amount (A) after 1 year = 2200

2200 = P + I{where I is the interest per year} .........Equation (1)

After 4 years amount = 2800

2800 =  P + 4I  {where I is the interest per year} .......Equation(2)

After solving equations 1&2 we get, I = 200rupees and

P {the sum of money} = 2000 rupees

I = PTR/100

R = 100(I) /  PT = 100(200) / 2000(1) = 10%

Hope it helps you.

Have a nice day.