Advertisements
Advertisements
Question
Calculate the amount and cornpound interest for the following, when cornpounded annually:
Rs 8,000 for `1 1/2` years at 12 % p.a.
Advertisements
Solution
P=Rs 8,000 ; t = `1 1/2 ` years ; r = 12 % p.a.
`"A" = "P" (1 + "r"/100)^"n"`
A = Rs 8000`(1 +12/100) (1 + 12/100)^(1/2)`
= Rs 8000 × 1.12 × `(1 + 1/2 xx 12/100)`
= Rs 8,000x 1.12x 1.06
= Rs 9,497.60
C.l. = A - P
= Rs (9,497.60 - 8,000)
= Rs 1,497.60
Hence, Amount= Rs 9,497.60 and C.I. =Rs 1,497.60
RELATED QUESTIONS
Amita wanted to start a business for which she needed Rs, 40000. She borrowed this from Dolly at 10% p.a compounded semi-annually. Find the extra amount that she needs to pay at the end of two years to clear her debt.
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 cost of a scooter depreciated by Rs 5100 during the second year and by Rs 4,335 during the third year. Calculate
the rate of depreciatlon
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 the compound interest for the following, when cornpounded half-yearly:
Rs 25,000 for `1 1/2` years at 12 %
What sum of money will amount to Rs 18, 792 in `1 1/2` years at 16% p.a. compounded yearly?
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?
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.
