Advertisements
Advertisements
प्रश्न
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 ?
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 = 20% of Rs. 11,000 = Rs. 2,200
∴ Principal for 2nd year = Rs. 11,000 - Rs. 2,200 = Rs. 8,800
For 2nd year :
P = Rs. 8,800; R = 10% and T= 1 year
Interest = Rs. `[8,800 xx 10 xx 1]/[100]`= Rs. 880
Amount at the end of 2nd year = Rs. 8,800 + Rs. 880 = Rs. 9,680
Money paid at the end of 2nd year = 20% of Rs. 9,680 = Rs.1,936
∴ Principal for 3rd year =Rs. 9,680 - Rs. 1,936 = Rs. 7,744.
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?
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?
Find the amount and the compound interest.
| No. | Principal (₹) | Rate (p.c.p.a.) | Duration (Years) |
| 1 | 2000 | 5 | 2 |
| 2 | 5000 | 8 | 3 |
| 3 | 4000 | 7.5 | 2 |
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 rate of interest.
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.
Rs. 8,000 is lent out at 7% compound interest for 2 years. At the end of the first year Rs. 3,560 are returned. Calculate :
(i) the interest paid for the second year.
(ii) the total interest paid in two years.
(iii) the total amount of money paid in two years to clear the debt.
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.
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.
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 compound interest for the second year on Rs. 15000 invested for 5 years at 6% per annum.
Find the amount and the compound interest payable annually on the following :
Rs.25000 for 1`(1)/(2)` years at 10% per annum.
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?
Depreciation value is calculated by the formula, `"P"(1 - "r"/100)^"n"`
If the present population of a city is P and it increases at the rate of r% p.a, then the population n years ago would be `"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
The time taken for ₹ 1000 to become ₹ 1331 at 20% p.a, compounded annually is 3 years
Find the compound interest for `2 1/2` years on ₹ 4000 at 10% p.a, if the interest is compounded yearly
A principal becomes ₹ 2028 in 2 years at 4% p.a compound interest. Find the principal
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 ______.
Compound interest is the interest calculated on the previous year’s amount.
Find the difference between Compound Interest and Simple Interest on Rs 45,000 at 12% per annum for 5 years.
