Question

a sum of money lent out at simple interest amount to rs 2200 in one year and rs 2800 in four years find the Sum of money and the rate of interest.

Answer 1

Heya!

Here's your answer -

Let principal be x

Then, in first case -
P = x
T = 1 year
A = 2200
SI = 2200 - x
And R = (2200 - x) 100/x

Second case -
P = x
T = 4 years
A = 2800
SI = 2800 - x
And R = (2800 - x) 100/4x

Since it's simple interest, the rate remains the same leading both the equations to equate :

(2200-x)100/x = (2800-x)100/4x
Then, x = 2000 (Sum of money or the principal)

And R = (2200-2000)100/2000 = 10 %

Hope it helps!

Answer 2

Step-by-step explanation:

R = 10%

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