Advertisements
Advertisements
प्रश्न
Calculate the rate per cent at which Rs 16,000 will yield Rs 3,876.75 as compound interest in 3 years.
Advertisements
उत्तर
P = Rs 16,000; A = Rs (16,000+3,876.75) = Rs 19,876.75 ; t = 3 years ; r = ?
`"A" = "P" (1 + "r"/100)^"n"`
Rs 19,876.75 = Rs 16,000 `(1 + "r"/100)^3`
`19876.75/16000 = (1 + "r"/100)^3`
`(27.08)^3/(25.19)^3 = (1 + "r"/100)^3`
`2708/2519 = 1 + "r"/100`
`"r"/100 = 2708/2519 - 1 = (2708 - 2519)/2519 = 189/2519`
`"r" = 18900/2519 = 7.5 %`
Hence , r = 7.5%
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 9,447.84 in 3 years at 8% p.a. compound interest?
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?
The cost of a scooter depreciated by Rs 5100 during the second year and by Rs 4,335 during the third year. Calculate
The cost of a machine dep reciated by Rs 2592 during the third year and by Rs 2332.80 during the fourth year. Calculate :
The cost at the end of the fourth year.
Rajan borrowed Rs 32,000 at 12% compound interest for 2 years. At the end of the first year he returned some amount and on paying Rs 17,920 at the end of the second year, he cleared the loan. Calculate the amount Rajan paid at the end of the first year.
Calculate the amount and cornpound interest for the following, when cornpounded annually:
Rs 8,000 for `1 1/2` years at 12 % p.a.
On what sum of money will the compound interest for `1 1/2` years at 16% p.a. compounded half-yearly amount to Rs 649.28?
If the interest is compounded half yearly, calculate the amount when the Principal is Rs. 7,400, the rate of interest is 5% per annum and the duration is one year.
The cost of a machine depreciates by 10% every year. If its present worth is Rs.18,000; what will be its value after three years?
