Advertisements
Advertisements
Question
Find the amount and the compound interest payable annually on the following :
Rs.25000 for 1`(1)/(2)` years at 10% per annum.
Solution
Rs.25000 for 1`(1)/(2)` years at 10% per annum.
Here P = Rs.25000, t = 1`(1)/(2)`years, r = 10%
Now, Amount after 1 year
= `"P"(1 + "r"/100)`
= `25000(1 + 10/100)`
= `25000(1 + 1/100)`
= `25000(11/100)`
= 27500
Thus, principle for the next 6 months = Rs.27500
Interest for the next 6 months
= `(27500 xx 6 xx 10)/(100 xx 12)`
= 1375
Therefore, amount after `1(1)/(2)` years
= Rs.27500 + Rs.1375
= Rs.3875
And CI
= A - P
= Rs.28875 - Rs.25000
= Rs.3875.
APPEARS IN
RELATED QUESTIONS
Calculate the amount and compound interest on Rs 10800 for 3 years at `12 1/2` % per annum compounded annually.
The difference between the S.I. and C.I. on a certain sum of money for 2 years at 4% per annum is Rs 20. Find the sum.
At what rate percent per annum will a sum of Rs 4000 yield compound interest of Rs 410 in 2 years?
The present population of a town is 28000. If it increases at the rate of 5% per annum, what will be its population after 2 years?
A sum is invested at compound interest, compounded yearly. If the interest for two successive years is Rs. 5,700 and Rs. 7,410. calculate the rate of interest.
The compound interest, calculated yearly, on a certain sum of money for the second year is Rs. 1,089 and for the third year it is Rs. 1,197.90. Calculate the rate of interest and the sum of money.
Geeta borrowed Rs. 15,000 for 18 months at a certain rate of interest compounded semi-annually. If at the end of six months it amounted to Rs. 15,600; calculate :
(i) the rate of interest per annum.
(ii) the total amount of money that Geeta must pay at the end of 18 months in order to clear the account.
Ramesh invests Rs. 12,800 for three years at the rate of 10% per annum compound interest. Find:
(i) the sum due to Ramesh at the end of the first year.
(ii) the interest he earns for the second year.
(iii) the total amount due to him at the end of the third year.
A man borrows Rs.10,000 at 10% compound interest compounded yearly. At the end of each year, he pays back 20% of the amount for that year. How much money is left unpaid just after the second year ?
What sum will amount of Rs. 6,593.40 in 2 years at C.I. , if the rates are 10 per cent and 11 per cent for the two successive years ?
On a certain sum of money, invested at the rate of 10 percent per annum compounded annually, the interest for the first year plus the interest for the third year is Rs. 2,652. Find the sum.
During every financial year, the value of a machine depreciates by 12%. Find the original cost of a machine which depreciates by Rs. 2,640 during the second financial year of its purchase.
Ashok borrowed Rs. 12,000 at some rate on compound interest. After a year, he paid back Rs.4,000. If the compound interest for the second year is Rs. 920, find:
- The rate of interest charged
- The amount of debt at the end of the second year
A sum of Rs. 8,000 is invested for 2 years at 10% per annum compound interest. Calculate:
(i) interest for the first year.
(ii) principal for the second year.
(iii) interest for the second year.
(iv) the final amount at the end of the second year
(v) compound interest earned in 2 years.
A man borrowed Rs. 20,000 for 2 years at 8% per year compound interest. Calculate :
(i) the interest of the first year.
(ii) the interest of the second year.
(iii) the final amount at the end of the second year.
(iv) the compound interest of two years.
Calculate the amount and the compound interest on Rs. 12,000 in 2 years and at 10% per year.
Calculate the amount and the compound interest on Rs. 10,000 in 3 years at 8% per annum.
Rekha borrowed Rs. 40,000 for 3 years at 10% per annum compound interest. Calculate the interest paid by her for the second year.
Peter borrows ₹ 12,000 for 2 years at 10% p.a. compound interest. He repays ₹ 8,000 at the end of the first year. Find:
- the amount at the end of the first year, before making the repayment.
- the amount at the end of the first year, after making the repayment.
- the principal for the second year.
- the amount to be paid at the end of the second year, to clear the account.
Find the difference between simple and compound interest on Rs 5000 invested for 3 years at 6% p.a., interest payable yearly.
The annual rate of growth in population of a town is 10%. If its present population is 26620, then the population 3 years ago was _________
The number of conversion periods in a year, if the interest on a principal is compounded every two months is ___________
The cost of a machine is ₹ 18000 and it depreciates at `16 2/3 %` annually. Its value after 2 years will be ___________
Suppose for the principal P, rate R% and time T, the simple interest is S and compound interest is C. Consider the possibilities.
- C > S
- C = S
- C < S
Then
