what is the difference between the compound interest on rs 5000 for 1.5 years at 4

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What is the difference between the compound interests on Rs. 5000 for 1

Question 2 1 ​

years at 4% per annum compounded yearly and half-yearly ?

A

Rs. 2.04

B

Rs. 3.06

C

Rs. 4.80

D

Rs. 8.30

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Updated on : 2022-09-05

Solution Verified by Toppr

Correct option is A)

C.I yearly

Principal=5000 Rs. Time =1.5 years Interest rate=4 % Amount=5000(1+ 100 4 ​ )(1+ 100 2 ​ ) ⇒5000× 100 104 ​ × 100 102 ​ ⇒5304Rs.

Then C.I=5304−5000=304Rs.

C.I.half yearly Principal=5000 Rs

Time=1.5 years=3 quarter

Rate =4% Amount=5000(1+ 100 2 ​ )(1+ 100 2 ​ )(1+ 100 2 ​ ) ⇒5000× 100 102 ​ × 100 102 ​ 100 102 ​ ⇒5306.40

Then C.I=5306.40−5000=306.04

Diference between C.I.=306.04−304=2.04Rs.

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What is the difference between the compound interest on ₨ 5000 for 1.5 years at 4% per annum and half yearly?

What is the difference between the compound interest on ₨ 5000 for 1.5 years at 4% per annum and half yearly?

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What is the difference between the compound interest on ₨ 5000 for 1.5 years at 4% per annum and half yearly?

Updated On: 27-06-2022

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Text Solution Open Answer in App A ₨. 3.06 B ₨. 2.04 C ₨. 4.80 D ₨. 8.30

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What is the difference between compound interest on Rs. 5000 for 1.5 years at 4% per annum accordingly as the interest is compounded yearly and half yearly?

Answer (1 of 2): Hi, Raj, let me try to answer your question. Keep in mind I’m no bookkeeper or finance consultant but just an ordinary guy thinking he can solve your problem. What is the difference between compound interest per annum and that compounded yearly and half yearly? The latter can be ...

What is the difference between compound interest on Rs. 5000 for 1.5 years at 4% per annum accordingly as the interest is compounded yearly and half yearly?

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Rajendra Kumar Phophalia

BE from Birla Institute of Technology and Science, PilaniAuthor has 4.8K answers and 1.5M answer views2y

Half yearly interest=5000(1.02)^3–5000=306.04Rs. Annual basis interest will be=1.02(5000×1.04)-5000=304. So difference is 2.04 Rs.

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What is the difference between the compound interests on Rs. 5000 for 1 years at 4% per annum compounded yearly and half-yearly?

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Former Retired Clergyman (1965–2020)Author has 332 answers and 109.3K answer views2y

Hi, Raj, let me try to answer your question. Keep in mind I’m no bookkeeper or finance consultant but just an ordinary guy thinking he can solve your problem. What is the difference between compound interest per annum and that compounded yearly and half yearly? The latter can be considered “semi-annually”. Your example: Rs 5000 at 4% per annum means you will earn Rs 400 at the end of the year. Added is the 6 months (half a year) or semi-annually will result in your receiving Rs 200 in interest. Hence for the year and a half that you invested Rs 5000, you will receive Rs 600 in compounded inter

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What is the compound interest on Rs 2000 for 9 months at 8% per annum being given when the interest is reckoned half yearly?

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What is the difference between the compound interest on ₹ for 1 1/2 years at 4% per annum compounded yearly and half-yearly?

I will assume Principle to be let's say 2500.

So in first case CI will be interest in first year and half the interest in second year. So at 4% in first year interest is 100. In second year interest is (100 + 4)/2 that is 52. (interest on interest of first year). So total is 152.

Now for second case as it is half yearly compounded there will be three cycles of 2% each. (rate is halved)

CI 1st cycle: 50 ( 2% interest of 2500)

CI 2nd cycle: 50 + 1 (2% interest of 2500 and 50)

CI 3rd cycle : 50 + 2 + .02 (2% interest of 2500 and earlier interest of 50, 50, 2)

So total interest is 153.02

Now I can find t Vijay A. Verma

Lived in Pune, Maharashtra, IndiaAuthor has 64 answers and 31.5K answer views1y

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What is the difference between the compound interests on Rs.8000 for 1(1/2) years at 5% per annum compounded yearly and half-yearly?

Use this formula in Excel

For yearly compounding =FV(5%,1.5,,-8000) - 8000 = 607.44

For half yearly compounding =FV(5%/2,3,,-8000) - 8000 = 615.13

GAP = 615.13 - 607.44 = 7.69

For paper calculation using formula

Yearly = =8000*(1+5%)^1.5 - 8000

Half Yearly =8000*(1+5%/2)^3 - 8000

Now, if you use pen and paper calculation by calculating year and on year (Pen and paper calculation compared to Excel / formula differ little bit when final compounding periods are fractional)

For yearly compounding

Interest at end of one year = 8000*5% = 400

For final 6 months compounding = (8000+400)*5%/2 = 210

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What is the difference between the compound interests on Rs. 10,000 for 1 whopping years at 4% per annum compounded yearly and half-yearly?

A) compound interest on Rs 10000 for a year at 4% per annum compounded yearly

P=Rs.10000,R=4%,i=R/100=4/100=0.04,N=1 year

Use the formula for compound interest

A=P(1+I)^N=10000(1+0.04)^1=10000(1.04)

=Rs10400

Compound interest=amount--sum

=10400–10000=Rs.400

B) compound interest on Rs .10000 for a year at the rate of interest per annum=4% , compounded half yearly

P=10000, R=4/2=2%, I=R/100=2/100=0.02

N=2 period of 6 months

A=P(1+I)^N…(formula for compound interest)

A=10000(1+0.02)^2=10000(1.02)^2

=10000(1.0404)=Rs.10404

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