Question

In how many years rs 2000 will amount to rs 2100 at 10% per annum compounded half yearly?

Answer 1

Answer:

No. of years = ½ years or 0.5 years

Step-by-step explanation:

Given data:

Principal, (P) = Rs. 2000

Amount, (A) = Rs. 2100

Rate of interest, (R) = 10%  

According to the question, the interest is compounded half yearly

∴ No. of years, (n) = 2 * n

And, Rate of interest, New R = R/2 = 10/2 = 5%

Now,  

Amount = Principal [1 + (R/100)]²ⁿ

Or, 2100 = 2000 [1 + (5/100)]²ⁿ

Or, 21/20 = [105/100]²ⁿ

Or, [21/20]¹ = [21/20]²ⁿ

∴ 2n = 1

Or, n = ½ years = 0.5 years

Answer 2

Answer: 0.5 years

Step-by-step explanation:

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