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?
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
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.
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 3,326.40 in 3 years at compound interest, if the rates of interest are 8%, 10% and 12% for the successive years?
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?
The interests on two successive years for a sum invested at compound interest compounded annually are Rs 840 and Rs 940.80. 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.
Calculate the amount and the compound interest for the following, when cornpounded half-yearly:
Rs 25,000 for `1 1/2` years at 12 %
On what sum of money will the compound interest for 2 years at 8% per annum amount to Rs 1399.68?
Calculate the rate per cent at which Rs 12,250 will yield Rs 3,116.40 as compound interest in 2 years.
In what time will Rs 50,000 yield an interest of Rs 32,151.60 at 18% per annum interest compounded annually?
