Advertisements
Advertisements
प्रश्न
A certain sum of money invested at compound interest compounded annually amounted to Rs 5,082 after 2 years and to Rs 5,590.20 after 3 years. Calculate the rate of interest and the sum invested.
Advertisements
उत्तर
Here, r =? P = x (say)
T = 2 years and 3 years
A= Rs 5,082 in 2 years and Rs 5,590.20 in 3 years.
` "A" = "P" (1 + "r"/100)^"n"`
`5082 = "x" (1 + "r"/100)^2 ` .................. (i)
`5590.20 = "x" (1 + "r"/100)^3` ................(ii)
Dividing (ii) by (i)
`("x" (1 + "r"/100)^3)/("x" (1 + "r"/100)^2) = 5590.20/5082`
`=> 1 + "r"/100 = 5590.20/5082`
`=> "r"/100 = 5590.20/5082 - 1`
`=> "r"/100 = (5590.20 - 5082)/5082`
`=> "r"/100 = 508.20/5082`
`=> "r" = 508.20/5082 xx 100`
⇒ r = 10%
using (i)
`"x" (1 + "r"/100)^2 = "Rs" 5082`
`"x" (1 + 10/100)^2 = "Rs" 5082`
`"x" xx 11/10 xx 11/10 = "Rs" 5082`
`"x" xx 121/100 = "Rs" 5082`
`"x" = "Rs" (5082 xx 100)/121`
x = Rs 4200
Hence, rate of interest= 10°10 and sum invested =Rs 4,200.
संबंधित प्रश्न
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 '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 original cost of the scooter.
Calculate the amount and cornpound interest for the following, when cornpounded annually:
Rs 8,000 for `1 1/2` years at 12 % p.a.
Calculate the amount and cornpound interest for the following, when cornpounded annually:
Rs 7 ,500 for `2 1/2` years ; r =16 % p.a.
Calculate the amount and the compound interest for the following:
Rs 12,500 for 3 years if the rates for the successive years are 8%, 9% and 10% respectively.
On what sum of money will the compound interest for 2 years at 8% per annum amount to Rs 1399.68?
On what sum of money will the compound interest for `2 1/2` years at 12% per annum amount to Rs 8,241.60?
In what time will Rs 50,000 yield an interest of Rs 32,151.60 at 18% per annum interest compounded annually?
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.?
