Advertisements
Advertisements
प्रश्न
Find the difference between simple and compound interest on Rs 5000 invested for 3 years at 6% p.a., interest payable yearly.
उत्तर
Case I :
Here P1 = Rs.5000 and r = 6%
So, Amount after 1 year
= `"P"(1 + "r"/100)`
= `5000(1 + 6/100)`
= `5000 xx (106)/(100)`
= 5300
Amount after 2 year
= `"P"(1 + "r"/100)`
= `5300(1 + 6/100)`
= `5300 xx (106)/(100)`
= 5618
Thus, P3 = Rs.5618 and r = 6%
Amount after 3 year
= `"P"(1 + "r"/100)`
= `5618(1+ 6/100)`
= `5618 xx (106)/(100)`
= 5955.08
Hence, Amount = Rs.5955.08
Also, C.I.
= A - P
= Rs.5955.08 - Rs.5000
= Rs. 955.08
Case II :
Simple interest = `(5000 xx 6 xx 3)/(100)`
= 900
Difference between C.I. and S.I.
= Rs.955.08 - Rs.900
= Rs.55.08.
APPEARS IN
संबंधित प्रश्न
Find the difference between the compound interest and simple interest. On a sum of Rs 50,000 at 10% per annum for 2 years.
Find the compound interest at the rate of 5% for three years on that principal which in three years at the rate of 5% per annum gives Rs 12000 as simple interest.
Rachana borrowed a certain sum at the rate of 15% per annum. If she paid at the end of two years Rs 1290 as interest compounded annually, find the sum she borrowed.
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.
In how much time would Rs 5000 amount to Rs 6655 at 10% per annum compound interest?
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?
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 |
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.
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.
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 30% of the sum borrowed. 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 ?
The value of a machine depreciated by 10% per year during the first two years and 15% per year during the third year. Express the total depreciation of the machine, as percent, during the three years.
Find the sum on which the difference between the simple interest and compound interest at the rate of 8% per annum compounded annually would be Rs. 64 in 2 years.
Calculate the compound interest on Rs. 5,000 in 2 years; if the rates of interest for successive years be 10% and 12% respectively.
Calculate the compound interest for the second year on Rs. 15000 invested for 5 years at 6% per annum.
Rohit borrowed ₹ 40,000 for 2 years at 10% per annum C.I. and Manish borrowed the same sum for the same time at 10.5% per annum simple interest. Which of these two gets less interest and by how much?
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.
The simple interest on a certain sum for 3 years at 4% is Rs 600. Find the compound interest for the same sum at the same percent and in the same time.
The compound interest on ₹ 8000 at 10% p.a for 1 year, compounded half yearly is ____________
The difference between the C.I and S.I for 2 years for a principal of ₹ 5000 at the rate of interest 8% p.a is ___________
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 on ₹ 3200 at 2.5% p.a for 2 years, compounded annually
A principal becomes ₹ 2028 in 2 years at 4% p.a compound interest. Find the principal
Find the C.I. on ₹ 15000 for 3 years if the rates of interest are 15%, 20% and 25% for the I, II and III years respectively
The compound interest on Rs 50,000 at 4% per annum for 2 years compounded annually 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 ______.
Find the difference between Compound Interest and Simple Interest on Rs 45,000 at 12% per annum for 5 years.
