Advertisements
Advertisements
प्रश्न
Rachna borrows Rs. 12,000 at 10 percent per annum interest compounded half-yearly. She repays Rs. 4,000 at the end of every six months. Calculate the third payment she has to make at end of 18 months in order to clear the entire loan.
Advertisements
उत्तर
For 1st half - year :
P = Rs. 12,000; R = 10 % and T = `1/2` year
Interest = Rs. `[12,000 xx 10 xx 1]/[100 xx 2]` = Rs. 600
Amount = Rs. 12,000 + Rs. 600 = Rs. 12,600
Money paid at the end of 1st half year = Rs. 4,000
Balance money for 2nd half-year = Rs. 12,600 - Rs. 4,000 = Rs. 8,600
For 2nd half - year :
P = Rs. 8,600; R = 10% and T = `1/2` year
Interest = Rs. `[ 8,600 xx 10 xx 1]/[100 xx 2]` =Rs. 430
Amount = Rs. 8,600 + Rs. 430 = Rs. 9,030
Money paid at the end of 2nd half-year = Rs. 4,000
Balance money for 3rd half - year = Rs. 9,030 - Rs. 4,000 = Rs. 5,030
For 3rd half-year
P = Rs. 5,030; R = 10% and T = `1/2` year
Interest = Rs. `[5,030 xx 10 xx 1]/[100 xx 2]` = Rs. 251.50
Amount = Rs. 5,030 + Rs. 251.50 = Rs. 5,281.50
APPEARS IN
संबंधित प्रश्न
Find the compound interest at the rate of 5% per annum for 3 years on that principal which in 3 years at the rate of 5% per annum gives Rs 1200 as simple interest.
In how much time would Rs 5000 amount to Rs 6655 at 10% per annum compound interest?
In what time will Rs 1000 amount to Rs 1331 at 10% per annum, compound interest?
The difference between the compound interest and simple interest on a certain sum for 2 years at 7.5% per annum is Rs 360. Find the sum.
The difference in simple interest and compound interest on a certain sum of money at \[6\frac{2}{3} %\] per annum for 3 years is Rs 46. Determine the sum.
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.
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.
The cost of a machine depreciated by Rs. 4,000 during the first year and by Rs. 3,600 during the second year. Calculate :
- The rate of depreciation.
- The original cost of the machine.
- Its cost at the end of the third year.
Find the sum, invested at 10% compounded annually, on which the interest for the third year exceeds the interest of the first year by Rs. 252.
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 ?
Calculate the amount and the compound interest on Rs. 12,000 in 2 years and at 10% per year.
Calculate the compound interest on Rs. 15,000 in 3 years; if the rates of interest for successive years be 6%, 8%, and 10% respectively.
Mohan borrowed Rs. 16,000 for 3 years at 5% per annum compound interest. Calculate the amount that Mohan will pay at the end of 3 years.
Calculate the difference between the compound interest and the simple interest on ₹ 7,500 in two years and at 8% per annum.
Mr. Sharma lends ₹24,000 at 13% p.a. simple interest and an equal sum at 12% p.a. compound interest. Find the total interest earned by Mr. Sharma in 2 years.
The simple interest on a certain sum of money at 4% p.a. for 2 years is Rs1500. What will be the compound interest on the same sum for the same time?
Find the difference between simple and compound interest on Rs 5000 invested for 3 years at 6% p.a., interest payable yearly.
A man borrows Rs 62500 at 8% p.a., simple interest for 2 years. He immediately lends the money out at CI at the same rate and for same time. What is his gain at the end of 2 years?
The compound interest payable annually on a certain sum for 2 years is Rs 40.80 and the simple interest is Rs 40. Find the sum and the rate percent.
The difference between simple interest and compound interest compounded annually on a certain sum is Rs.448 for 2 years at 8 percent per annum. Find the sum.
If the compound interest is calculated quarterly, the amount is found using the formula __________
Depreciation value is calculated by the formula, `"P"(1 - "r"/100)^"n"`
The present value of a machine is ₹ 16800. It depreciates at 25% p.a. Its worth after 2 years is ₹ 9450
In how many years will ₹ 3375 become ₹ 4096 at `13 1/3` p.a if the interest is compounded half-yearly?
Suppose a certain sum doubles in 2 years at r % rate of simple interest per annum or at R% rate of interest per annum compounded annually. We have ______.
A sum is taken for two years at 16% p.a. If interest is compounded after every three months, the number of times for which interest is charged in 2 years is ______.
