Advertisements
Advertisements
प्रश्न
A sum of money placed at compound interest compounded annually amounts to Rs 47,610 in 2 years and to Rs 54,751.50 in 3 years. Calculate the rate of interest and the sum.
Advertisements
उत्तर
P = x ; r =? ; t= 2 and 3 years ; A= Rs 47,610 (2 years) (3 years)
`"A" = "P" (1 + "r"/100)^"n"`
47610 = x `(1 + "r"/100)^2` ..........(i)
54751.50 = x `(1 + "r"/100)^3` ................(ii)
` therefore ("x" (1 + "r"/100)^3)/("x" (1 + "r"/100)^2) =54751.50/47610 `
⇒`(1 + "r"/100) = 54751.50/47610`
⇒ `"r"/100 = 54751.50/47610 - 1`
⇒ `"r"/100 = (54751.50 - 47610)/47610`
`"r" = 7141.50/47610 xx 100`
r = 15 %
Using (i)
`"x" (1 + "r"/100)^2 =" Rs" 47610`
`"x" (1 + 15/100)^2 = "Rs" 47610`
`"x" (115/100)^2`= Rs 47610
1.3225 x = Rs 47,610
x = Rs 36,000
The sum =Rs 36,000 and rate of interest= 15 %
APPEARS IN
संबंधित प्रश्न
What sum of money will amount to Rs 13,675.20 in 3 years at compound interest, if the rates of interest are 10%, 11% and 12% for the successive years?
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 original cost.
What sum of money will amount to Rs 10,256.40 in 3 years at compound interest if the rates of interest for the successive years are 10%, 11% and 12%?
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 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.
In what time will Rs 50,000 yield an interest of Rs 32,151.60 at 18% per annum interest compounded annually?
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 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.
