a sum of money amounts to 2000 in 5 years and the interest is 1 by 4 of the principal find the principal and the rate of interest
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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%
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