Advertisements
Advertisements
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?
Advertisements
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.
APPEARS IN
संबंधित प्रश्न
Prashant borrowe Rs. 35000 at 12% p.a. compounded semi-annually. Find the amount he needs to pay back at the end of `1 1/2` years
Amita wanted to start a business for which she needed Rs, 40000. She borrowed this from Dolly at 10% p.a compounded semi-annually. Find the extra amount that she needs to pay at the end of two years to clear her debt.
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 for the following, when cornpounded annually:
Rs 16,000 for 3 years at `7 1/2` % p.a.
Calculate the amount and the compound interest for the following:
Rs 10,000 for 3 years if tl1e rates of interest are 10%, 11% and 12% for the successive years.
On what sum of money will the compound interest for `2 1/2` years at `12 1/2`% per annum amount to Rs 82,734.37?
In what time will Rs 50,000 yield an interest of Rs 32,151.60 at 18% per annum interest compounded annually?
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.
