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
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.
In how much time would Rs 5000 amount to Rs 6655 at 10% per annum compound interest?
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.
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:
- the sum due to Ramesh at the end of the first year.
- the interest he earns for the second year.
- the total amount due to him at the end of 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 ?
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.
Saurabh invests Rs. 48,000 for 7 years at 10% per annum compound interest. Calculate:
(i) the interest for the first year.
(ii) the amount at the end of second year.
(iii) the interest for the third 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.
Calculate the compound interest on Rs. 5,000 in 2 years; if the rates of interest for successive years be 10% and 12% 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.
Rekha borrowed Rs. 40,000 for 3 years at 10% per annum compound interest. Calculate the interest paid by her for the second year.
Calculate the difference between the compound interest and the simple interest on ₹ 8,000 in three years and at 10% per annum.
Peter borrows ₹ 12,000 for 2 years at 10% p.a. compound interest. He repays ₹ 8,000 at the end of the first year. Find:
- the amount at the end of the first year, before making the repayment.
- the amount at the end of the first year, after making the repayment.
- the principal for the second year.
- the amount to be paid at the end of the second year, to clear the account.
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?
The compound interest on ₹ 8000 at 10% p.a for 1 year, compounded half yearly is ____________
If the compound interest is calculated quarterly, the amount is found using the formula __________
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 number of conversion periods in a year, if the interest on a principal is compounded every two months is ___________
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 _________
Find the rate of compound interest at which a principal becomes 1.69 times itself in 2 years
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 ______.
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.
