Advertisements
Advertisements
प्रश्न
The S.I. and C.I. on a sum of money for 2 years is Rs. 200 and 210 respectively. If the rate of interest is the same. Find the sum and rate.
Advertisements
उत्तर
Let the sum be P and rate of interest be r % then.
S.I. = `("P" xx "r" xx "n")/(100)`
200 = `("P" xx "r" xx 2)/(100)`
P.r = 10000 ...(i)
C.I. = P `[(1 + r/100)^n - 1]`
210 = `(10000)/r [(1 + r/100)^2 - 1]`
210 = `(10000)/r ((100 + r)^2 - 100^2)/(100)^2`
210 = `(r^2 + 200r)/r`
r2 + 200 r = 210 r
r2 = 10 r
r = 10%
Using this in equation (1), we get
P = `(10000)/(10)`
= ₹ 1000
∴ P = ₹ 1,000
r = 10%
संबंधित प्रश्न
Rajeev borrowed Rs 15,000 from Sanjay at 12% p.a. compound interest. After 2 years Rajeev gave Rs 7,500 and a scooter to clear the account. Find the cost of the scooter.
The value of a 'Honda' bike depreciated by 16% in the first year and by 13% in the second year. Find the value of the bike if it depreciated by Rs 7,098 in the second year.
The cost of a scooter depreciated by Rs 5100 during the second year and by Rs 4,335 during the third year. Calculate
the rate of depreciatlon
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.
Ramesh borrowed Rs 12,000 at 15% compound interest for 2 years. At the end of the first year he returned some amount and on paying Rs 9,200 at the end of the second year, he cleared the loan. Calculate the amount of money Ramesh returned at the end of the first year.
Calculate the amount and cornpound interest of the following, when cornpounded annually:
Rs 20,000 for 2 years at `12 1/2` % p.a.
Calculate the rate per cent at which Rs 12,250 will yield Rs 3,116.40 as compound interest in 2 years.
Calculate the rate percent at which Rs 15,000 will yield Rs 8,413.44 as compound interest in 3 years.
A sum of money placed at compound interest compounded annually amounts to Rs 26,460 in 2 years and to Rs 29,172.15 in 4 years. Calculate the rate of interest and the sum.
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.
