Advertisements
Advertisements
Question
Calculate the amount and the compound interest for the following:
Rs.20, 000 at9°/o p.a. in `2 1/3` years
Advertisements
Solution
Here, P = Rs.20, 000; r = 9°/o p.a. ; t = `2 1/3` years
For the first year: t = 1 year
S.I. = `("P" xx "r" xx "t")/100`
S.I. = `("Rs" 20000 xx 9 xx 1)/100`
S.I. = Rs 1800
A=P+S.I.
=Rs (20,000 + 1,800) =Rs 21,800 =new principal
For the second year: t = 1 year; P=Rs 21,800
S.I. = `("P" xx "r" xx "t")/100`
S.I. = `("Rs" 21800 xx 9 xx 1)/100`
S.I. = Rs1, 962
A=P+S.l.
A=Rs (21,800 + 1, 962) = Rs 23, 762 = new principal
For the third year: t = 1/3 year; P=Rs 23,762
S.I. = `("P" xx "r" xx "t")/100`
S.I. = `("Rs" 23762 xx 9 xx 1)/(100 xx 3)`
S.I. = Rs712. 86
A=P+S.I.
A=Rs (23,762 + 712.86) =Rs 24,474.86
C.I. = Interest in first year + interest in second year + interest in third year
C.I. =Rs ( 1,800 + 1, 962 +712.86) =Rs 4,474.86
RELATED QUESTIONS
Jaya borrowed Rs. 50,000 for 2 years. The rates of interest for two successive years are 12% and 15% respectively. She repays 33,000 at the end of the first year. Find the amount she must pay at the end of the second year to clear her debt.
If a, b, c are in continued proportion, prove that (a + b + c) (a – b + c) = a2 + b2 + c2
Alisha invested Rs 75000 for 4 years at 8 % p.a. compound interest,
Find the interest earned in the third year.
Alisha invested Rs 75000 for 4 years at 8 % p.a. compound interest,
Calculate the interest for the fourth year.
Natasha gave Rs.6O,OOO to Nimish for 3 years at 15%,p.a. compound interest.
Calculate to the nearest rupee :
The Compound Interest paid by Nimish
Pooja borrowed Rs 15,000 from Sonali at 11% p.a. compound interest. If she repays Rs 7,550 at the end of first year and Rs 6,101 at the end of second year, find the amount Pooja needs to give to Sonali at the end of third year to clear her debt.
Neena's savings increases by Rs 1,000 every year. If she saves Rs 4,000 in the first year and invests it at 15% compound interest, find her total savings at the end of the third year.
Calculate the amount and the compound interest on:
Rs. 16,000 in 3 years, when the rates of the interest for successive years are 10%, 14% and 15% respectively.
A man saves Rs. 3,000 every year and invests it at the end of the year at 10% compound interest. Calculate the total amount of his savings at the end of the third years.
The population of a town 2 years ago was 62,500. Due to migration to cities, it decreases at the rate of 4% per annum. Find its present population.
