The compound interest calculated yearly at 10% on a certain sum of money amounts to Rs 665.50 in the fifth year. Calculate:
(i) C.I for the sixth year at the same rate and on the same sum.
(ii) C.I for the fourth year on the same sum and at the same rate.

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Solution

(i) C.I. for 6th year $=$ C.I. of 5th year + Interest on it for 1 year
$=$ Rs. 665.50 + 10% of Rs. 665.50 $=$ Rs. 732.05 Ans.
(ii) Let C.I. for 4th year $= R s . x$
Since, C.I. for 5th year $=$ C.I. of 4th year + Interest on it for 1 year.
$\Rightarrow R s . 665.50 = R s . x + 10 %$ of $R s . x$
$\Rightarrow x = 605$
$\Rightarrow$ C.I. for 4th year $=$ Rs. 605

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The compound interest calculated yearly at 10% on a certain sum of money amounts to Rs 665.50 in the fifth year. Calculate:(i) C.I for the sixth year at the same rate and on the same sum.(ii) C.I for the fourth year on the same sum and at the same rate.

(i) C.I. for 6th year = C.I. of 5th year + Interest on it for 1 year = Rs. 665.50 + 10% of Rs. 665.50 = Rs. 732.05 Ans.(ii) Let C.I. for 4th year =Rs.x Since, C.I. for 5th year = C.I. of 4th year + Interest on it for 1 year.⇒Rs.665.50=Rs.x+10% of Rs.x⇒x=605⇒ C.I. for 4th year = Rs. 605

The compound interest calculated yearly at 10% on a certain sum of money amounts to Rs 665.50 in the fifth year. Calculate:
(i) C.I for the sixth year at the same rate and on the same sum.
(ii) C.I for the fourth year on the same sum and at the same rate.