Advertisements
Advertisements
प्रश्न
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
उत्तर
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
संबंधित प्रश्न
Calculate the amount and compound interest on Rs 18000 for `2 1/2` years at 10% per annum compounded annually.
Calculate the amount and compound interest on Rs 62500 for `1 1/2` years at 8% per annum compounded half yearly.
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?
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.
Kamala borrowed from Ratan a certain sum at a certain rate for two years simple interest. She lent this sum at the same rate to Hari for two years compound interest. At the end of two years she received Rs 210 as compound interest, but paid Rs 200 only as simple interest. Find the sum and the rate of interest.
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?
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.
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 ?
Ashok borrowed Rs. 12,000 at some rate on compound interest. After a year, he paid back Rs.4,000. If the compound interest for the second year is Rs. 920, find:
- The rate of interest charged
- The amount of debt at the end of the second year
Calculate the amount and the compound interest on Rs. 12,000 in 2 years and at 10% per year.
A man invests Rs. 9600 at 10% per annum compound interest for 3 years. Calculate :
(i) the interest for the first year.
(ii) the amount at the end of the first year.
(iii) the interest for the second year.
(iv) the interest for the third year. the interest for the first year.
Calculate the difference between the compound interest and the simple interest on ₹ 7,500 in two years and at 8% per annum.
Calculate the difference between the compound interest and the simple interest on ₹ 8,000 in three years and at 10% per annum.
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 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 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 ___________
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 compound interest on ₹ 16000 for 9 months at 20% p.a, compounded quarterly is ₹ 2522
Find the compound interest on ₹ 3200 at 2.5% p.a for 2 years, compounded annually
Find the compound interest for `2 1/2` years on ₹ 4000 at 10% p.a, if the interest is compounded yearly
The number of conversion periods in a year, if the interest on a principal is compounded every two months 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 ______.
