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ICSE Class 9 Answered

The compound interest calculated yearly at 10% on a certain sum of money amounts to rs.665.0 in the fifth year.calculate:- i)compound interest for the 6th year at the same rate on the same sum ii)compound interest for the 4th year at the same sum and at the same rate [answer step by steps, without formula]
Asked by royahan1234 | 21 Apr, 2019, 04:57: PM
answered-by-expert Expert Answer
C. I space f o r space t h e space 5 t h space y e a r space equals space R s. space 665 R a t e space o f space i n t e r e s t space equals space 10 percent sign L e t space P space b e space t h e space p r i n c i p a l A m o u n t space a f t e r space 5 t h space y e a r space minus space A m o u n t space a f t e r space 4 t h space y e a r space equals space C. I space f o r space 5 t h space y e a r rightwards double arrow P open parentheses 1 plus 10 over 100 close parentheses to the power of 5 minus P open parentheses 1 plus 10 over 100 close parentheses to the power of 4 equals 665 rightwards double arrow P open parentheses 11 over 10 close parentheses to the power of 5 minus P open parentheses 11 over 10 close parentheses to the power of 4 equals 665 rightwards double arrow P open parentheses 11 over 10 close parentheses to the power of 4 open parentheses 11 over 10 minus 1 close parentheses equals 665 rightwards double arrow P open parentheses 11 over 10 close parentheses to the power of 4 open parentheses 1 over 10 close parentheses equals 665 rightwards double arrow P open parentheses 11 to the power of 4 over 10 to the power of 5 close parentheses equals 665 P equals R s. space 4542 left parenthesis i right parenthesis A m o u n t space a f t e r space 6 t h space y e a r space equals space P open parentheses 1 plus 10 over 100 close parentheses to the power of 6 equals 4542 open parentheses 11 over 10 close parentheses to the power of 6 equals R s. space 8046 C. I space f o r space t h e space 6 t h space y e a r space equals space A m o u n t space a f t e r space 6 t h space y e a r space minus space A m o u n t space a f t e r space 5 t h space y e a r equals R s. space 732 left parenthesis i i right parenthesis A m o u n t space a f t e r space 3 r d space y e a r space equals space P open parentheses 1 plus 10 over 100 close parentheses cubed equals 4542 open parentheses 11 over 10 close parentheses cubed equals R s. space 6045 space A m o u n t space a f t e r space 4 t h space y e a r equals P open parentheses 1 plus 10 over 100 close parentheses to the power of 4 equals 4542 open parentheses 11 over 10 close parentheses to the power of 4 equals R s. space 6649 space C. I space f o r space t h e space 4 t h space y e a r space equals space A m o u n t space a f t e r space 4 t h space y e a r space minus space A m o u n t space a f t e r space 3 r d space y e a r equals R s. space 604
Answered by Renu Varma | 22 Apr, 2019, 11:41: AM

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