What is the difference between the compound interest and simple interest on ₹ 8000 at 15% per annum for 2 years?

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Given : P = Rs. 8,000, R = 5%, T = 2 years
For simple interest,

S.I. = `[ "P" xx "R" xx "T"]/100`

= `[8,000 xx 5 xx 2]/100`

= Rs. 800

For compound interest,

`"A" = "P"( 1 + r/100 )^n`

`"A" = 8,000( 1 + 5/100 )^2`

= `8,000 xx 21/20 xx 21/20`

= Rs. 8,820

C.I. = A - P
      = Rs. (8,820 - 8,000)
      = Rs. 820

Now, C.I. - S.I. = Rs. ( 820 - 800 ) = Rs. 20.
Thus, the difference between the compound interest and the simple interest is Rs. 20.

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Solution

The correct option is A: Rs.3109Given: Principal, P=Rs.8000Rate, R =15%Time =2 years 4 months =2+(412) years =213 yearsAmount for 2 years is given asAmount, A=P(1+R100)t [∵t=time]= Rs. [8000×(1+15100)2] (adsbygoogle = window.adsbygoogle || []).push({}); =Rs.(8000 ×2320× 2320=10580Interest for 13 years is given asI=P×R×t100=10580×15×13100=Rs.529Total amount for 213 years =10580+529=Rs.11109. ∴ Compound Interest, C.I.= Toatal Amount - Principal =Rs.(11109 −8000)= Rs.3109.

What is the difference between compound interest & simple interest on 8000 at 15% per annum for 2 yrs?

Detailed Solution The difference between compound interest compounded annually and simple interest on a certain sum at a rate of 15% per annum for 2 years is ₹1,944.

What is the difference between the compound interest and simple interest on Rs 8000 at 5% pa for 2 years?

Amount=P(1+r100)n=8000(1+5100)2=8000×(1+120)2=8000×(2120)2=8000×441400=20×441=8820∴CI=Amount−Principal=8820−8000=820.

What will be the difference between simple and compound interest on 8000 at the rate of 5% per annum at the end of 3 years?

The difference of C.I and S.I on a sum at 5% per annum for 3 years is Rs. 1525.

What will be the compound interest of Rs 8000 at 15%?

Compound interest = ₹ 11109 - ₹ 8000 = ₹ 3109. Q.