find the amount and the compound interest on rupees 8000 for 4 years at 10% per annum interest reckoned yearly.

Dear student
Principal,P=Rs 8000Rate of interest,R=10%Time,n=4 yrs Amount,A=P1+R100n=80001+101004=80001+1104=800011104=585645=11712.8SO, C.I=A-P=Rs 11712.8-8000=Rs 3712.8
Regards

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P = ₹8,000

R = 10 % p.a.

T = 1 1/2 year = 3/2 years

Solution

When the interest is compounded half - yearly

A = P(1+R/200)^2n

= 8,000(1+10/200)^2 × 3/2

= 8,000(200+10/200)^3

= 8,000(210+200)^3

= 8,000(21/20)^3

= 8,000 × 9,261/8,000

= ₹9,261

P = ₹8,000

R = 10 % p.a.

T = 1 1/2 year = 3/2 years

Solution

When the interest is compounded half - yearly

A = P(1+R/200)^2n

= 8,000(1+10/200)^2 × 3/2

= 8,000(200+10/200)^3

= 8,000(210+200)^3

= 8,000(21/20)^3

= 8,000 × 9,261/8,000

= ₹9,261

 
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