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A man borrowed Rs X from 2 money lenders for 6 months with an interest of Rs Y .

and Rs Z.Finally he had to clear a debt which was double the amount that he borrowed.so finally what was the compound interest that has been gained by the lender?

2006-08-21 15:44:18 · 4 answers · asked by sudhish n 1 in Science & Mathematics Mathematics

4 answers

so, X = Y + Z

total debt paid = 2X

assuming he have to pay X amount to each lender;

hence, the compounded int ( i ):

Y x [ ( 1 + i )^6 ] = X

i = [ ( X/Y )^(1/6) ] - 1 equation (1)

and i = [ ( X/Z )^(1/6) ] - 1 equation (2)

eqtn (1) = eqtn (2)

simplify the inequalities

then:

Ln ( X/Y ) = Ln ( X/Z )

hence: X/Y = X/Z
Y = Z

substitute into eqtn (1) or eqtn (2)

then you will get i = 12.25%

2006-08-21 16:30:05 · answer #1 · answered by AJ 2 · 0 0

Assuming you meant lenders (not lender) as your last workd the answer should be simply X (he borrowed a total X from two lenders and he has to repay a total of 2X...therefore, the interest earning realized by the borrowers will be simply X).

2006-08-21 22:57:00 · answer #2 · answered by rgsoni 2 · 0 0

I've read this question 2 or 3 times and I **still** don't understand the details.

I hate to insult your English, Pal, because I know you're working at it. But could you try it again?


Doug

2006-08-21 22:54:32 · answer #3 · answered by doug_donaghue 7 · 0 0

I'm also eager to know that

2006-08-22 00:20:31 · answer #4 · answered by nima_iran_1985 3 · 0 0

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