Advertisements
Advertisements
प्रश्न
Calculate the rate per cent at which Rs 12,250 will yield Rs 3,116.40 as compound interest in 2 years.
Advertisements
उत्तर
P = Rs 12,250; A= Rs (12,250+3,116.40) =Rs 15,366.40 ; t = 2 years; r=?
`"A" = "P" (1 + "r"/100)^"n"`
Rs 15,366.40 = Rs12250`(1 + "r"/100)^2`
`15366.40/12250 = (1 + "r"/100)^2`
`(196)^2/(175)^2 = (1 + "r"/100)^2`
`196/175 = 1+ "r"/100`
`"r"/100 = 196/175 - 1 = (196 - 175)/175 = 21/175`
r = `2100/175 = 12%`
Hence , r = 12%
संबंधित प्रश्न
Pradeep gave Rs.16000 to a friend for 1.5 years at 15% p.a. compounded semi-annually. Find the interest earned by him at the end of 1.5 years.
Mr.Mohan invested Rs. 12500 at 16 % p.a. compounded annually. If the duration of the deposite was 1.5 years , find the amount Mr.Mohan received at the end of 1.5 years.
Manoj borrowed Rs 25,000 from Sohan at 8.4 % p.a. compound interest. After 2 years Manoj cleared Rs 17,500 and a motorcycle. Find the cost of the motorcycle.
The value of a machine depreciates by 15% in the first year and by 12% in the second year. Find the value of the machine if its depreciation in the second year was Rs 1,632.
The interests on two successive years for a sum invested at compound interest compounded annually are Rs 840 and Rs 940.80. Calculate the rate of interest and the sum invested.
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.
The simple interest on an amount for 2 years at 8% is Rs 320. Calculate the compound interest on the same amount at the same rate for 1 year if the interest is compounded half-yearly.
On what sum of money will the compound interest for 2 years at 10% p.a. compounded half-yearly amount to Rs 3,448.10?
The compound interest on a certain sum of money at 10% p.a. for 3 years is Rs 4,965. What will be the simple interest on the same sum for 3 years at 11% p.a.?
The population of a city is 1,25,000. If the annual birth rate and death rate are 5.5% and 3.5% respectively. Calculate the population of the city after 3 years.
