Advertisements
Advertisements
Question
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?
Advertisements
Solution
P =x ; t = `2 1/2` years ; r = `12 1/2` % = `25/2` % ; A = Rs (x + 82734.37)
`"A" = "P" (1 + "r"/100)^"n"`
Rs (x + 82,734.37 ) = x `(1 + 25/(2 xx 100))^2 (1 + 25/(2 xx 100))^(1/2)`
Rs (x + 82, 734.37) - x `(1 +25/(2 xx 100))^2 (1 + 25/(2 xx 100))^(1/2)`
Rs ( x + 82,734.37) = x × 1.125 × 1.125 × `(1 + 1/2 xx 1/8)`
Rs (x + 82,734.37) - x × 1.125 × 1.125 × 1.0625
Rs (x + 82, 734.37) - 1.344727 x
0.344727 x - Rs 82,734.37
x = Rs 2,39,999.7 = Rs 2,40, 000
On Rs 2,40,000 the C.I. for `2 1/2` years at `12 1/2` % will be Rs 82,734.37
APPEARS IN
RELATED QUESTIONS
Mr.Mohan invested Rs. 12500 at 16 % p.a. compounded annually. If the duration of the deposite was 1.5 years , find the amount Mr.Mohan received at the end of 1.5 years.
Mr. Chatterjee borrowed Rs 50,000 in compound interest from Mr. Patel for 2 years when the rates of interest for the successive years were `7 1/2 %` and `9 1/4 %`. If Mr. Chatterjee returned Rs 27, 750 at the end of the first year, find the amount he needs to return at the end of the seoond year to clear the loan.
What sum of money will amount to Rs 9,447.84 in 3 years at 8% p.a. compound interest?
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 8,000 for `1 1/2` years at 12 % p.a.
What sum of money will amount to Rs 18, 792 in `1 1/2` years at 16% p.a. compounded yearly?
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 cost of a machine depreciates by 10% every year. If its present worth is Rs.18,000; what will be its value after three years?
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.
