Question

A sum of money amounts to Rs 2000in 5 years and the interest is 1/4 of the principle. find the principal and rate of interest.​

Answer 1

Answer:

let's begin

Step-by-step explanation:

Given,

Total Amount, A = 2000 Rs

Time, n = 5 years

If, Principle, P = 4x Rs

then, Interest, I = 4x × 1/4 Rs

= x Rs

then, Total amount, A = P + I

= 4x + x Rs

= 5x Rs

According to the question,

5x = 2000

x = 2000/5

x = 400

Interest, I = 400 Rs

Principle, P = 4×400 Rs

= 1600 Rs

We know,

r (rate of interest) = I/Pn

= 400/1600×5

= (0.05×100) %

= 5%

Answer 2

Answer:

Given,

Total Amount, A = 2000 Rs

Time, n = 5 years

If, Principle, P = 4x Rs

then, Interest, I = 4x × 1/4 Rs

= x Rs

then, Total amount, A = P + I

= 4x + x Rs

= 5x Rs

According to the question,

5x = 2000

x = 2000/5

x = 400

Interest, I = 400 Rs

Principle, P = 4×400 Rs

= 1600 Rs

We know,

r (rate of interest) = I/Pn

= 400/1600×5

= (0.05×100) %

= 5%

Step-by-step explanation: