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.
Advertisements
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
Calculate the amount and compound interest on Rs 10000 for 1 year at 8% per annum compounded half yearly.
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.
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.
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?
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 |
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.
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.
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 ?
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 ?
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.
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.
Calculate the compound interest on Rs. 5,000 in 2 years; if the rates of interest for successive years be 10% and 12% respectively.
Rekha borrowed Rs. 40,000 for 3 years at 10% per annum compound interest. Calculate the interest paid by her for the second year.
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 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 ₹ 5000 at 12% p.a for 2 years, compounded annually is ___________
The compound interest on ₹ 8000 at 10% p.a for 1 year, compounded half yearly is ____________
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 _________
If the compound interest is calculated quarterly, the amount is found using the formula __________
The cost of a machine is ₹ 18000 and it depreciates at `16 2/3 %` annually. Its value after 2 years will be ___________
The sum which amounts to ₹ 2662 at 10% p.a in 3 years, compounded yearly 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.
