Math, asked by deep6329, 1 year ago

the compound interest on rs16000 for 1 and half year at 10% p.a. payable half yearly is

Answers

Answered by inhumandrowsey
24

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

= 16000 (1 + 10/200)^3 - 16000

= 16000 * 21/20 * 21/20 * 21/20 - 16000

= 18522 - 16000

= 2522 is the interest


inhumandrowsey: hi :)
deep6329: how did u got t = 3, pls explain it would be a great help
inhumandrowsey: see, when Interest is compounded half yearly and it is clearly stated that compounded over 1 and half years time but it was being compounded half yearly so we will count 1 and half year as 3 years. it is a rule that when interest is charged half yearly time gets doubled and rate gets half
deep6329: thank uu very much
inhumandrowsey: :)
Answered by gaurisingh0414
3

Answer:

Rs 2522

Step-by-step explanation:

It is calculated as under -

Interest rate per annum - 10%

No of rests per annum - 1 for annual, 2 for half year, 4 for Quarterly and 12 for monthly

Effective interest per rest - Per annum Interest rate divide by no of rest per annum - 10/2 = 5%

Rest Period in known time - 1–1/2 years / 6 months = 3

Interest = Principal x (1+Effective interest rate) raised to power 3 - Principal Amount

Or

16000 x 1.05 x 1,05 x 1,05 - 16000 = 2522/-

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