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
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.
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.
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?
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.
Calculate the amount and cornpound interest for the following, when cornpounded annually:
Rs 8,000 for `1 1/2` years at 12 % p.a.
What sum of money will amount to Rs 15,746.40 at 16% p.a. compounded half-yearly?
On what sum of money will the compound interest for 2 years at 8% per annum amount to Rs 1399.68?
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.
In how many years will Rs. 15,625 amount to Rs. 17,576 at 4% p.a., compound interest?
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.
