Advertisements
Advertisements
प्रश्न
A man borrows Rs.10,000 at 10% compound interest compounded yearly. At the end of each year, he pays back 30% of the sum borrowed. How much money is left unpaid just after the second year ?
Advertisements
उत्तर
For 1st year :
P = Rs. 10,000; R = 10% and T = 1 year
Interest = Rs. `[10,000 xx 10 xx 1]/100`= Rs.1,000
Amount at the end of 1st year = Rs. 10,000 + Rs. 1,000 = Rs. 11,000
Money paid at the end of 1st year = 30% of Rs. 10,000 = Rs. 3,000
∴ Principal for 2nd year = Rs. 11,000 - Rs. 3,000 = Rs. 8,000
For 2nd year :
P = Rs. 8,000; R = 10% and T = 1 year
Interest = Rs. `[8,000 xx 10 xx 1]/[100]` = Rs. 800
Amount at the end of 2nd year = Rs. 8,000 + Rs. 800 = Rs. 8,800
Money paid at the end of 2nd year = 30% of Rs. 10,000 = Rs. 3,000
∴ Principal for 3rd year = Rs. 8,800 - Rs. 3,000 =Rs. 5,800.
APPEARS IN
संबंधित प्रश्न
Calculate the amount and compound interest on Rs 62500 for `1 1/2` years at 8% per annum compounded half yearly.
The interest on a sum of Rs 2000 is being compounded annually at the rate of 4% per annum. Find the period for which the compound interest is Rs 163.20.
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.
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.
In how many years ₹ 700 will amount to ₹ 847 at a compound interest rate of 10 p.c.p.a.
A certain sum amounts to Rs. 5,292 in two years and Rs. 5,556.60 in three years, interest being compounded annually. Find: the original sum.
Mohit invests Rs. 8,000 for 3 years at a certain rate of interest, compounded annually. At the end of one year it amounts to Rs. 9,440. Calculate:
- the rate of interest per annum.
- the amount at the end of the second year.
- the interest accrued in the third year.
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.
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 ?
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
On a certain sum of money, lent out at C.I., interests for first, second and third years are Rs. 1,500; Rs. 1,725 and Rs. 2,070 respectively. Find the rate of interest for the (i) second year (ii) third 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.
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.
A certain sum of money invested for 5 years at 8% p.a. simple interest earns an interest of ₹ 12,000. Find:
(i) the sum of money.
(ii) the compound interest earned by this money in two years and at 10% p.a. compound interest.
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 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.
The compound interest on ₹ 5000 at 12% p.a for 2 years, compounded annually is ___________
If the compound interest is calculated quarterly, the amount is found using the formula __________
The time taken for ₹ 1000 to become ₹ 1331 at 20% p.a, compounded annually is 3 years
Find the compound interest on ₹ 3200 at 2.5% p.a for 2 years, compounded annually
Find the compound interest for `2 1/2` years on ₹ 4000 at 10% p.a, if the interest is compounded yearly
The sum which amounts to ₹ 2662 at 10% p.a in 3 years, compounded yearly is _________
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 ______.
To calculate the growth of a bacteria if the rate of growth is known, the formula for calculation of amount in compound interest can be used.
Compound interest is the interest calculated on the previous year’s amount.
