Advertisements
Advertisements
Question
Find the principal which will amount to Rs 22,344 in 2 years at compound interest if the rates of interest for the successive years are 12% and 14%?
Advertisements
Solution
Here P= ? ; t = 2 years; r = 12 % and 14 % successively; A= Rs 22,344
`"A" = "P" (1 + "r"/100)^"n"`
Rs 22344 = P `(1 + 12/100)(1 + 14/100)`
Rs 22344 = P x 1.12 x 1.14
Rs22,344 = 1.2768 P
P = Rs `22344/1.2768`
P = Rs 17500
Hence, the principaI is Rs 17, 500.
RELATED QUESTIONS
What sum of money will amount to Rs 9,447.84 in 3 years at 8% p.a. compound interest?
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?
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.
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.
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 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 31,360 in 2 years and to Rs 35,123.20 in 3 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?
