Advertisements
Advertisements
Question
The difference between C.I. payable annually and S.I. on Rs.50,000 for two years is Rs.125 at the same rate of interest per annum. Find the rate of interest.
Advertisements
Solution
Let the rate of interest per year be r%.
S.I. in 2 years = Rs.`(50000 xx "r" xx 2)/(100)`
= Rs.1000r
And, C.I. in 2 years
= A - P
= Rs.`50000(1 + "r"/100)^2` - Rs.50000
Given, C.I. - S.I. = Rs.125
⇒ `50000(1 + "r"/100)^2 - 50000 - 1000"r"` = 125
⇒ `50000(1 + "r"^2/10000 + (2"r")/100) - 50000 - 1000"r"` = 125
⇒ 50000 + 5r2 + 1000r - 50000 - 1000r = 125
⇒ 5r2 = 25
⇒ r2 = 25
⇒ r = ±5
But the rater of interest cannot ne negative.
∴ Rate of interest is 5%.
APPEARS IN
RELATED QUESTIONS
Calculate the amount and compound interest on Rs 18000 for `2 1/2` years at 10% per annum compounded annually.
What will Rs 125000 amount to at the rate of 6%, if the interest is calculated after every 3 months?
Simple interest on a sum of money for 2 years at \[6\frac{1}{2} %\] per annum is Rs 5200. What will be the compound interest on the sum at the same rate for the same period?
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.
In what time will Rs 1000 amount to Rs 1331 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 |
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.
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.
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.
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.
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.
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 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 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 ___________
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
The sum which amounts to ₹ 2662 at 10% p.a in 3 years, compounded yearly is _________
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 ______.
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.
