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A money-lender borrows money at 4% per annum and pays the Interest at the end of the year. He lends it at 6% per annum compound Interest compounded half yearly and receives the Interest at the end of the year. In this way. he gains Rs.104.50 a year. The amount of money he borrows. Is

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A money-lender borrows money at 4% per annum and pays the Interest at the end of the year. He lends it at 6% per annum compound Interest compounded half yearly and receives the Interest at the end of the year. In this way. he gains Rs.104.50 a year. The amount of money he borrows. Is
1). Rs.6.000
2). Rs.5.500
3). Rs.5.000
4). Rs.4.500

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2 answers

25 vote
Answered by on | Votes 25 |
option 3 is the right one

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0 vote
Answered by on | Votes 0 |

. Let the borrowed amount be x
According to the question

X[($1+\frac{3^{2}}{100}$-1)]

= 104.50
[ Interest is compounded half
yearly]
 x [(1.03)2 – 1] – 0.04x
= 104.50
 0.0609x – 0.04x = 104.50
 0.0209x = 104.5

X = 5000

Accepted Answer




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