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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:
  • a)
    10%
  • b)
    10.25%
  • c)
    10.5%
  • d)
    None of these
Correct answer is option 'B'. Can you explain this answer?
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Calculation of effective rate of interest:

Assume that the principal amount is Rs. 100.

After 6 months, the interest will be Rs. 10 (10% of Rs. 100).

So, the new principal amount will be Rs. 110.

After another 6 months, the interest will be Rs. 11 (10% of Rs. 110).

So, the new principal amount will be Rs. 121.

Therefore, the total interest earned in one year is Rs. 21.

Hence, the effective rate of interest becomes:

= (Total Interest / Principal) x (100 / Time)

= (21 / 100) x (100 / 1)

= 21%

Answer:

Therefore, the correct answer is option (B) 10.25%.
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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:a)10%b)10.25%c)10.5%d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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