an amount of 20900 is taken as a loan at 9 %pa compound interest.if it is to be repaid in two equal annual installments,what is the value of each installment?
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8th
Maths
Comparing Quantities
Compound Interest
A sum of Rs. 11000 was take...
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Asked on December 27, 2019 by
Ashi Pandey
A sum of Rs. 11000 was taken as a loan. This is to be repaid in two equal instalments. If the rate of interest be 20% compounded annually, then the value of each instalment is
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ANSWER
Let the value of each installment be Rs. x. Then, (P.W. of Rs. x due 1 year hence) + (P.W. of Rs. x due 2 years hence) = Rs. 11000
∴
(1+
100
20
)
x
+
(1+
100
20
)
2
x
=11000
or
6
5x
+
36
25x
=11000
or 55x = 36 × 11000
or x = (
55
36×11000
)=Rs.7200
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