Advertisements
Advertisements
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?
Advertisements
उत्तर
\[P = \frac{SI \times 100}{RT}\]
\[ \therefore P = \frac{5, 200 \times 100}{6 . 5 \times 2}\]
\[ = 40, 000\]
Now,
\[A = P \left( 1 + \frac{R}{100} \right)^n \]
\[ = 40, 000 \left( 1 + \frac{6 . 5}{100} \right)^2 \]
\[ = 40, 000 \left( 1 . 065 \right)^2 \]
\[ = 45, 369\]
Also,
CI = A - P
= 45, 369 - 40, 000
= 5, 369
Thus, the required compound interest is Rs 5, 369.
संबंधित प्रश्न
Calculate the amount and compound interest on Rs 62500 for `1 1/2` years at 8% per annum compounded half yearly.
In how many years ₹ 700 will amount to ₹ 847 at a compound interest rate of 10 p.c.p.a.
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.
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.
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 difference between simple and compound interest on Rs 5000 invested for 3 years at 6% p.a., interest payable yearly.
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 __________
Suppose for the principal P, rate R% and time T, the simple interest is S and compound interest is C. Consider the possibilities.
- C > S
- C = S
- C < S
Then
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 ______.
