Question

Find the amount and the compound interest on Rs 5000 lent at 5 percent per annum for 1 year if the interest is payable half yearly​

Answer 1

Answer:

Your answer is rupees 512.5

Step-by-step explanation:

Here,

P = 5000.

t = 1 year 6 months.

= 3

r = 5 percent per annum.

Now,

CI = P (1 + r\100) ^t - P

= 5000 (1 + 5 \100)^3 - 1.

= 5000 (100+5\100)^3- 1.

= 5000(105\100)^3 - 1.

= 5000 (1.05)^3 -1

= 5000 x 1.1025 - 1.

= 5000 x 0.1025.

= 512.5 Answer...

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Answer 2

Answer:

Here we calculate the compound interest for the period of one year in such a way that interest is calculated after 6 months. So,there will be two time intervals each of six months for the calculation of interest.

Step-by-step explanation:

First interval of Six months

Interest on 5000 rupees for 6 months= 5000×5×1/2×100 = 125 rupees

therefore, Amount at the end of the first interval of six months=5000+125= 5125 rupees

Second interval of six months

Amount at the end of the first interval of six months will be taken as the principal for the second interval of six months.

Interest on 5125 rupees for 6 months= 5125×5×1/2×100 = 1025/8 = 128.13 rupees

Therefore,total interest on 5000 rupees for 1 year= 125+128.35= 253.13 rupees

Amount at the end of one year=5000+253.13 = 5253.13 rupees.

So, answer is 5253.13 rupees.