Advertisements
Advertisements
Question
Calculate the amount and the compound interest for the following:
Rs. 7500 at 12% p.a. in 3 years.
Advertisements
Solution
Here, P = Rs. 7500 ; r = 12% p.a.; t = 3 years
For the first year : t = 1 year
S.I. = `("P" xx "r" xx "t")/100`
S.I. = `("Rs" 7500 xx 12 xx 1)/100`
S.I. = Rs 900
A = P + S.I.
= Rs (7500 + 900) = Rs 8400 = new principal
For the seoond year: t = 1 year; P=Rs 8,400
S.I. = `("P" xx "r" xx "t")/100`
S.I. = `("Rs" 8400 xx 12 xx 1)/100`
S.l. = Rs 1,008
A= P + S.l.
A=Rs (8,400 + 1,008) = Rs 9,408 = new principal
For the third year: t = 1 year; P=Rs 9,408
S.I. = `("P" xx "r" xx "t")/100`
S.I. = `("Rs" 9408 xx 12 xx 1)/100`
S.l. = Rs1, 128. 96
A=P+S.l.
A=Rs (9,408 + 1,128.96) =Rs 10,536.96
C.l. = Interest in first year + interest in second year + interest in third year
C.l. =Rs (900 + 1,008+1, 128.96) = Rs 3,036.96
RELATED QUESTIONS
At what rate % p.a. will a sum of Rs. 4000 yield Rs. 1324 as compound interest in 3 years?
Calculate the amount and the compound interest for the following:
Rs.20, 000 at9°/o p.a. in `2 1/3` years
A sum of Rs. 65000 is invested for 3 years at 8 % p.a. compound interest.
Find the sum due at the end of the second year.
Prerna borrowed Rs.16000 from a friend at 15 % p.a. compound interest. Find the amount , to the nearest rupees, that she needs to return at the end of 2.4 years to clear the debt.
Meera borrowed Rs 12,500 on compound interest from Rajeev for 2 years when the rates of interest for successive years were 8% and 10%. If Meera returned Rs 7,500 at the end of the first year, find the amount she has to return at the end of the second year.
A man borrows Rs. 6,000 at 5% C.I. per annum. If he repays Rs. 1,200 at the end of each year, find the amount of the loan outstanding at the beginning of the third year.
On a certain sum of money, the difference between the compound interest for a year, payable half-yearly, and the simple interest for a year is Rs. 180/- Find the sum lent out, if the rate of interest in both the cases is 10% per annum.
A manufacturer estimates that his machine depreciates by 15% of its value at the beginning of the year. Find the original value (cost) of the machine, if it depreciates by Rs. 5,355 during the second year.
A man borrows Rs. 10,000 at 5% per annum compound interest. He repays 35% of the sum borrowed at the end of the first year and 42% of the sum borrowed at the end of the second year. How much must he pay at the end of the third year in order to clear the debt ?
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.
