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
RELATED QUESTIONS
Manoj borrowed Rs 25,000 from Sohan at 8.4 % p.a. compound interest. After 2 years Manoj cleared Rs 17,500 and a motorcycle. Find the cost of the motorcycle.
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 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 cornpound interest for the following, when cornpounded annually:
Rs 8,000 for `1 1/2` years at 12 % p.a.
Calculate the amount and the compound interest for the following, when cornpounded half-yearly:
Rs 25,000 for `1 1/2` years at 12 %
Calculate the amount and the compound interest for the following:
Rs 10,000 for 3 years if tl1e rates of interest are 10%, 11% and 12% for the successive years.
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%?
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%?
Calculate the rate per cent at which Rs 12,250 will yield Rs 3,116.40 as compound interest in 2 years.
In how many years will Rs. 15,625 amount to Rs. 17,576 at 4% p.a., compound interest?
