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A money-lender borrows money at 4% per ...

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

A

₹6,000

B

₹ 5,500

C

₹5,000

D

₹4,500

Text Solution

Verified by Experts

The correct Answer is:
C
`R_(1) = 4%" " t_(1) = 1` year
जब ब्याज अर्धवार्षिक संयोजित होता है, तो नया दर `=6/2 % = 3%`
Time `(t_2) = 1 xx 2 = 2`
2 वर्ष के लिए दर = `3+3 +(3xx3)/100 = 6.09%`
`:. ` दर में अंतर = (6.09 - 4)% = 2.04%
A/Q2.09% = Rs 104.50
Sum = Rs ` (104.50)/(2.09) xx100 = Rs 500`
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