Advertisements
Advertisements
Question
Calculate the amount and the compound interest for the following, when cornpounded half-yearly:
Rs 25,000 for `1 1/2` years at 12 %
Advertisements
Solution
P = Rs 25,000 ; t =`1 1/2` years ; r = 12 % p.a. = 6 % half-early.
`"A" = "P" (1 + "r"/100)^"n"`
A = Rs 25000 `(1 + 6/100)^2 (1 + 12/100)^(1/2)`
=Rs 25,000 x 1.06 x 1.06 x `(1 + 1/2 xx 12/100)`
= Rs 25, 000 x 1. 06 x 1.06 x 1.06
= Rs29, 775.40
C.l. = A - P
= Rs (29,775.40 - 25, 000)
=Rs 4,775.40
Hence, Amount= Rs 29,775.40 and C.I. =Rs 4,775.40
RELATED QUESTIONS
Shekhar had a fixed deposit of Rs 24000 for 3 years . If he received interest at 10% p.a compounded annually, find the amount received by him at the time of maturity.
The cost of a scooter depreciated by Rs 5100 during the second year and by Rs 4,335 during the third year. Calculate
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 simple interest on an amount for 2 years at 8% is Rs 320. Calculate the compound interest on the same amount at the same rate for 1 year if the interest is compounded half-yearly.
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 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 8,000 amount to Rs 12,167 at 15% per annum compounded annually?
In how many years will Rs. 15,625 amount to Rs. 17,576 at 4% p.a., compound interest?
