Advertisements
Advertisements
Question
Calculate the amount and cornpound interest for the following, when cornpounded annually:
Rs 7 ,500 for `2 1/2` years ; r =16 % p.a.
Advertisements
Solution
P=Rs 7,500 ; t = `2 1/2` years ; r = 16 % p.a.
`"A" = "P" (1 + "r"/100)^"n"`
A = Rs 7500 `(1 + 16/100)^2 (1 + 16/100)^(1/2)`
= Rs 7500 ×1.16 × 1.16 × `(1 + 1/2 xx 16/100)`
= Rs 7,500 x 1.16 x 1.16 x 1.08
= Rs 10,899.36
C.l. = A - P
= Rs (10,899.36 - 7,500)
= Rs 3,399.36
Hence, Amount= Rs 10,899.36 and C.I. =Rs 3,399.36
RELATED QUESTIONS
Prashant borrowe Rs. 35000 at 12% p.a. compounded semi-annually. Find the amount he needs to pay back at the end of `1 1/2` years
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.
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.
Rajan borrowed Rs 32,000 at 12% compound interest for 2 years. At the end of the first year he returned some amount and on paying Rs 17,920 at the end of the second year, he cleared the loan. Calculate the amount Rajan paid at the end of the first year.
Calculate the amount and cornpound interest for the following, when cornpounded annually:
Rs 16,000 for 3 years at `7 1/2` % p.a.
Calculate the amount and the compound interest for the following:
Rs 12,500 for 3 years if the rates for the successive years are 8%, 9% and 10% respectively.
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%?
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% per annum amount to Rs 8,241.60?
In what time will Rs 8,000 amount to Rs 12,167 at 15% per annum compounded annually?
