A man borrows Rs 18000 at 5% per annum compound interest .If he repays Rs 6000 at the end of the first year and Rs8000 at the end of the second year; how much should he pay at the end of the 3rd year in order to clear the account?
\[A_{1}=18000(1+0.05)-6000\] \[A_{2}=[18000(1.05)](1.05)-8000\] \[A_{3}=18000(1.05)^2-p\]
Oops the second installment meant o have -6000 inside the brackets
\[A_{2}=[18000(1.05)-6000](1.05)−8000\]
A_{3}=[18000(1.05)^2-6000(1.05)-8000](1.05)-p.
\[A_{3}=[18000(1.05)^2-6000(1.05)-8000](1.05)-p\]
A1=18000(1+0.05)−6000 A2=[18000(1.05)−6000](1.05)−8000 A3=[18000(1.05)2−6000(1.05)−8000](1.05)−p
Is the answer $5822.25?
yup..how do u got it
Find p. Don't worry about A3 that's just to tell you what year or installment it is.
Just ignore the A3 and pretend it was zero. Now just find p.
i didn't get ..if i ignore A3 then how would i find p
\[[18000(1.05)^2−6000(1.05)−8000](1.05)=5822.25\] \[18000(1.05)^3-6000(1.05)^2-8000(1.05)=5822.25\] Just expand the brackets.
Plug that into your calculator and you will get the answer.
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