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the difference between compound interest and simple interest on the same sum of rupees 8000 for 2 year is rupees 20 find the rate of interest ?​

User Warmcat
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1 Answer

2 votes

Answer:

5%

Explanation:

You want the interest rate that makes the difference between compound and simple interest on ₹8000 for two years be ₹20.

Interest formulas

The formula for the value of an account earning simple interest is ...

A = P(1 +rt) . . . . P earning interest rate r for t years

The formula for the value of an account earning compound interest is ...

A = P(1 +r)^t . . . . P earning interest rate r for t years

Application

We want the difference in these amounts over 2 years to be ₹20.

8000(1 +r)^2 -8000(1 +2r) = 20

1 +2r +r^2 -(1 +2r) = 20/8000 . . . . . divide by 8000, expand the square

r^2 = 1/400 . . . . . . simplify

r = 1/20 = 5% . . . . . take the square root

The rate of interest is 5% per year.

User PastryExplosion
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