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ICSE Class 9 Answered

A certain sum of money at compound intrest amounts to ruppees 6600 in 1 year and to ruppees 7986 in 3 years . Find the sum and the rate
Asked by ayushbrow123 | 24 Jun, 2018, 09:44: AM
answered-by-expert Expert Answer
begin mathsize 16px style Let space straight P space be space the space principal space and space straight R space be space the space rate space of space interest. straight A space left parenthesis space Amount space right parenthesis space equals space straight P space open square brackets space 1 space plus space straight R over 100 close square brackets to the power of straight n When space Amount space is space Rs. space 6600 space and space Time left parenthesis straight n right parenthesis space is space 1 space yr comma space then 6600 space equals space straight P space open square brackets space 1 space plus space straight R over 100 close square brackets to the power of 1 space space space.... left parenthesis 1 right parenthesis When space Amount space is space Rs space 7986 space and space Time left parenthesis straight n right parenthesis space is space 3 space yrs comma space then space 7986 space equals space straight P space open square brackets space 1 space plus space straight R over 100 close square brackets cubed space space space.... left parenthesis 1 right parenthesis Dividing space left parenthesis 1 right parenthesis space by space left parenthesis 2 right parenthesis comma space we space get 7986 over 6600 space equals space open square brackets space 1 space plus space straight R over 100 close square brackets squared rightwards double arrow 121 over 100 space equals space space open square brackets space 1 space plus space straight R over 100 close square brackets squared rightwards double arrow 11 over 10 space equals space 1 space plus space straight R over 100 rightwards double arrow straight R over 100 space equals space 11 over 10 space minus space 1 rightwards double arrow straight R over 100 space equals space 1 over 10 rightwards double arrow space straight R space equals space 10 So comma space rate space equals space 1 equals space percent sign space straight p. straight a. 6600 space equals space straight P space open square brackets space 1 space plus space 10 over 100 close square brackets to the power of 1 rightwards double arrow 6600 space equals space straight P space cross times space 11 over 10 rightwards double arrow straight P space equals space 6000 So comma space required space sum space equals space Rs. space 6000 end style
Answered by Yasmeen Khan | 25 Jun, 2018, 11:40: AM

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