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प्रश्न
What sum of money will amount to Rs 13,675.20 in 3 years at compound interest, if the rates of interest are 10%, 11% and 12% for the successive years?
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उत्तर
For the third year
Here P = x ; A= Rs 13,675.20 ; t = 1 year; r = 12 % p.a.
`therefore "A" = "P" (1 + "r"/100)^"n"`
`=> "Rs" 13675.20 = "x" (1 + 12/100)^1`
`=> "Rs" 13675.20 = "x" (112/100)`
`=> x = "Rs" (13675.20 xx 100)/112`
⇒ x = Rs 12, 210
The sum of money will be Rs 12,210 at the end of the second year or beginnino;; of the third year.
For the second year
Here P = x ; A= Rs 12,210 ; t = 1 year ; r = 11 % p.a.
`therefore "A" = "P" (1 + "r"/100)^"n"`
`=> "Rs" 12210 = "x" (1 + 11/100)^1`
`=> "Rs" 12210 = "x" (111/100)`
`=> x = "Rs" (12210 xx 100)/111`
⇒ x = Rs 11, 000
The sum of money will be Rs 11,000 at the end of the first year or beginning of the second year.
For the first year
Here P = x; A= Rs 11,000; t = 1 year; r = 10 % p.a.
`therefore "A" = "P" (1 + "r"/100)^"n"`
`=> "Rs" 11000 = "x" (1 + 10/100)^1`
`=> "Rs" 11000 = "x" (11/100)`
`=> x = "Rs" (11000 xx 10)/11`
⇒ x = Rs 10, 000
The sum of money will be Rs 10,000 at the beginning of the first year.
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