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An automobile financier claims to be lending money at simple interest, but he includes the interest every six months for calculating the principal. If he is charging an interest of 10%, the effective rate of interest becomes:

Options:
A .  10%
B .  10.25%
C .  10.5%
D .  None of these
Answer: Option B

Let the sum be Rs. 100. Then,



S.I. for first 6 months = Rs.
An Automobile Financier Claims To Be Lending Money At Simple...
100 x 10 x 1
An Automobile Financier Claims To Be Lending Money At Simple...
= Rs. 5
100 x 2



S.I. for last 6 months = Rs.
An Automobile Financier Claims To Be Lending Money At Simple...
105 x 10 x 1
An Automobile Financier Claims To Be Lending Money At Simple...
= Rs. 5.25
100 x 2


So, amount at the end of 1 year = Rs. (100 + 5 + 5.25) = Rs. 110.25


An Automobile Financier Claims To Be Lending Money At Simple... Effective rate = (110.25 - 100) = 10.25%



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