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प्रश्न
What sum of money will amount to Rs 7,128 in 2 years at compound interest, if the rates of interest are 8% and 10% for successive years?
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उत्तर
For the second year
Here P = x ; A= Rs 7, 128 ; t = 1 year ; r = 10 % p.a.
`therefore "A" = "P" (1 + "r"/100)^"n"`
`=> "Rs" 7128 = "x" (1 + 10/100)^1`
`=> "Rs" 7128 = "x" (11/10)`
`=> "x" = "Rs" (7128 xx 10)/11`
⇒ x = Rs 6480
The sum of money will be Rs 6,480 at the end of the first year or beginning of the second year.
For the first vear
Here P = x ; A = Rs 6,480 ; t = 1 year ; r = 8 % p.a.
`therefore "A" = "P" (1 + "r"/100)^"n"`
`=> "Rs" 6480 = "x" (1 + 8/100)^1`
`=> "Rs" 6480 = "x" (108/100)`
`=> "x" = "Rs" (6480 xx 100)/108 `
⇒ x = Rs 61 000
The sum of money will be Rs 6,000 at the beginning of the first year.
संबंधित प्रश्न
Mr. Chatterjee borrowed Rs 50,000 in compound interest from Mr. Patel for 2 years when the rates of interest for the successive years were `7 1/2 %` and `9 1/4 %`. If Mr. Chatterjee returned Rs 27, 750 at the end of the first year, find the amount he needs to return at the end of the seoond year to clear the loan.
What sum of money will amount to Rs 3,326.40 in 3 years at compound interest, if the rates of interest are 8%, 10% and 12% for the successive years?
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