Advertisements
Advertisements
प्रश्न
A sum of money placed at compound interest compounded annually amounts to Rs 31,360 in 2 years and to Rs 35,123.20 in 3 years. Calculate the rate of interest and the sum.
Advertisements
उत्तर
P = x ; r = ? ; t= 2 and 3 years ; A = Rs 31,360 ( 2 years) and Rs 35, 123.20 ( 3 years)
`"A" = "P" (1 + "r"/100)^"n"`
`31360 = x (1 + "r"/100)^2` .........(i)
`35123.20 = "x" (1 + "r"/100)^3` ..............(ii)
`therefore ("x" (1 + "r"/100)^3)/(x (1 + "r"/100)^2) = 35123.20/31360`
⇒ `(1 + "r"/100) = 35123.20/31360`
⇒ `"r"/100 = 35123.20/31360 - 1`
⇒ `"r"/100 = (35123.20 - 31360)/31360`
`"r" = 3763.20/31360 xx 100`
r = 12%
Using (i)
`"x" (1 + "r"/100)^2` = Rs 31,360
`"x" (1 + 12/100)^2` = Rs 31,360
`"x" (112/100)^2` = Rs 31,360
1 .2544 X = Rs 31,360
x = Rs 25,000
The sum = Rs 25,000 and rate of interest = 12 %.
APPEARS IN
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.
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.
The cost of a machine depreciated by Rs 2592 during the third year and by Rs 2332.80 during the fourth year. Calculate :
The rate of depreciation.
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.
What sum of money will amount to Rs 18, 792 in `1 1/2` years at 16% p.a. compounded yearly?
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 1/2`% per annum amount to Rs 82,734.37?
Calculate the rate percent at which Rs 15,000 will yield Rs 8,413.44 as compound interest in 3 years.
If the interest is compounded half yearly, calculate the amount when the Principal is Rs. 7,400, the rate of interest is 5% per annum and the duration is one year.
In how many years will Rs. 15,625 amount to Rs. 17,576 at 4% p.a., compound interest?
