Raj obtained a loan of 20,000 from State Bank of India to renovate his house. If the rate of interest is 16% per
annum, find the compound interest he will pay after 3 years
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Answer:
20,960 is the answer
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Step-by-step explanation:
Given that:-
The amount taken as loan from the bank by Raj=Rs. 20,000
Principle(p)=20,000
Rate of interest(R)=16%
Time (T)=3 years
If interest is calculated annually one time as compound
no.of times(n)=3
we know that
Amount=P(1+R/100)^n
=>A=20,000[1+(16/100)]³
=>A=20,000[1+(4/25)]³
=>A=20,000[(25+4)/25]³
=>A=20,000[29/25]³
=>A=(20,000×29×29×29)/(25×25×25)
=>A=(32×29×29×29)/25
=>A=780448/25
=>A=31,217.92
Total amount he will pay after 3 years=Rs.31,217.92
Now Interest =Amount -Principle
=>I=31217.92-20000
=>I=Rs. 11,217.92
the compound interest he will pay after 3 years=Rs. 11,217.92
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