Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
Let the time period be n years.
Then, we have:
\[\text{ CI = P }\left( 1 + \frac{R}{100} \right)^n - P\]
\[163 . 20 = 2, 000 \left( 1 + \frac{4}{100} \right)^n - 2, 000\]
\[2, 163 . 20 = 2, 000 \left( 1 . 04 \right)^n \]
\[ \left( 1 . 04 \right)^n = \frac{2, 163 . 20}{2, 000}\]
\[ \left( 1 . 04 \right)^n = 1 . 0816\]
\[ \left( 1 . 04 \right)^n = \left( 1 . 04 \right)^2 \]
On comparing both the sides, we get:
n = 2
Thus, the required time is two years.
संबंधित प्रश्न
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?
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 ?
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.
A man borrowed Rs. 20,000 for 2 years at 8% per year compound interest. Calculate :
(i) the interest of the first year.
(ii) the interest of the second year.
(iii) the final amount at the end of the second year.
(iv) the compound interest of two years.
Calculate the compound interest on Rs. 15,000 in 3 years; if the rates of interest for successive years be 6%, 8%, and 10% respectively.
A man borrows Rs 62500 at 8% p.a., simple interest for 2 years. He immediately lends the money out at CI at the same rate and for same time. What is his gain at the end of 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.
In how many years will ₹ 3375 become ₹ 4096 at `13 1/3` p.a if the interest is compounded half-yearly?
Find the rate of compound interest at which a principal becomes 1.69 times itself in 2 years
