Question

principal = 10000 rate = 20% find compound interest after 1 and half years if compounded half yearly​

Answer 1

Step-by-step explanation:

If the rate of interest is R% per annum and the interest is compounded half-yearly, then the rate of interest will be R/2% per half year. ... 10000 for 1½ years at 20% per annum, interest being payable half-yearly. Solution: We know, R= 20% per annum. or, 10% per half year.

Answer 2

Given :

Principle = 10,000/-

Rate of Interest = 20%

Time = 1 1/2 years => 3/2 years

To Find:

1. Amount
2. Compound Interest

SOLUTION:

$amount = principle \times (1 + \frac{rate \: of \: interest}{200}) {}^{2 \times time}$

$= > 10000 \times (1 + \frac{20}{200} ) {}^{2 \times \frac{3}{2} = > \frac{6}{2} = 3} \\ = > 10000 \times (1 + \frac{20}{200} ) {}^{3} \\ = > 10000 \times (1 + \frac{1}{10} ) {}^{3} \\ = > 10000 \times ( \frac{11}{10} ) {}^{3} = 10000 \times \frac{11}{10} \times \frac{11}{10} \times \frac{11}{10} \\ = > 10000 \times \frac{1331}{1000} \\ = > 10 \times 1331 = 13310$

THEREFORE, Amount = 13,310.00/-

Compound Interest = Amount - Principle => 13,310 - 10,000 = 3,310/-

CONCLUSION:

1. Amount = 13,310.00/-
2. Compound Interest = 3,310.00/-

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