On what sum of money will compound interest for 2 years at 5% per year amount to Rs 164?
Thus, the required sum is Rs. 1600.
100×4×16441=Rs. 1600.
Thus, required sum is Rs. 1600.
Rate - 5% p.a. ∴ The sum is Rs. 3200.
Therefore, Rs 4600 will produce the same compound intrest in 2 years at 5%per annum as Rs 943 produces in 10 years at 5%rate of simple interest.
- Given:
- Formula Used:
- C.I = P[{1 + (R/100)}T - 1]
- Calculation:
- C.I = 5000[{1 + (20/100)}2 - 1]
- ⇒ 5000[{1 + (1/5)}2 - 1]
- ⇒ 5000[(6/5)2 - 1]
- ∴ The compound interest is Rs. 2200.
∴ Compound interest is Rs. 410.
Answer. CI = 123 rupees.
The correct Answer is:Rs. 205. Step by step video, text & image solution for The compound interest on Rs. 2000 at 5% per annum, compounded yearly for 2 years is by Maths experts to help you in doubts & scoring excellent marks in Class 14 exams.
So, it becomes, Hence, Compound interest would be Rs. 162.
What is the sum if the compound interest on a certain sum for 2 years at 10% per annum is rupees 1050?
Therefore, sum is 5000 Rs.
The correct Answer is:Rs 46,000. Step by step video, text & image solution for On what sum of money will compound interest (payable annually) for 2 years be the same as simple interest on Rs 9,430 for 10 years, both at the rate of 5 percent per annum ?
How Do you Calculate Compound Interest for Half Year? The formula for calculation of compound interest for half year is CI = p(1 + {r/2}/100)2t. - p. Here in this formula 'A' is the final amount, 'p' is the principal, and 't' is the time in years.
3744 = P * (1 + 8/100)^2 - P 3744 = P * (1.08)^2 - P 3744 = P * 1.1664 - P Now, let's solve for P: 3744 = 0.1664 * P P = 3744 / 0.1664 P = 22499.04 So, the sum of money for which the compound interest for 2 years at 8% per annum will be Rs. 3744 is approximately Rs. 22,499.04.
From the given conditions , 2P=P(1+r)2⟹r=√2−1=0.414=41.4%
So, the compound interest on Rs. 1000 for two years at 2% per annum is Rs. 40.4.
| Year | Starting Balance | Cumulative Interest |
|---|---|---|
| 1 | $5,000 | $237 |
| 2 | $7,037 | $557 |
| 3 | $9,157 | $964 |
| 4 | $11,364 | $1,460 |
With the given information this is: 2000 (1.03)^2 = 2,121.80.
=Rs. 2205−Rs. 2000=Rs. 205.
When it comes to compound interest, the calculation of interest is made on accrued interest. If you deposit Rs.3000 at 5% interest rate for 3 years, the total interest earned will be Rs.150.
What is 5000 for 2 years at 8% per annum compounded annually?
5832∴ C.I. = A - P = Rs. 5832 - 5000= Rs. 832 (c)
The correct Answer is:1640. Step by step video, text & image solution for Find C.I on Rs. 16000 at the rate 5% p.c.p.a for 2 years compounded annually. by Maths experts to help you in doubts & scoring excellent marks in Class 14 exams.
Answer. Simplifying the equation, we find that the compound interest is Rs. 102.50.
Thus, amount to be paid is Rs. 2646.
- Principal, P=Rs.12,000.
- Rate of interest, r=10%
- Time =2 years.
- So, n=2.
- Amount,A=P(1+r100)n=Rs. 12000(1+0.1)2=Rs.14520.
- CI=A−P=Rs. (14520−12000)=Rs. 2520.
