Simple Interest Calculation Steps
To find the simple interest, we need the Principal (P), Rate (R), and Time (T).
- Principal (P): ₹4,000
- Rate (R): 7.5% per annum = $\frac{7.5}{100}$
Determine the Time Period (T)
The deposit was made on 4 February 2024 and withdrawn on 5 April 2024. We need to calculate the number of days.
- Days remaining in February 2024 (Leap Year): 29 - 4 = 25 days
- Days in March 2024: 31 days
- Days in April 2024: 5 days
- Total days: 25 + 31 + 5 = 61 days
Convert the total days into years. Since 2024 is a leap year, there are 366 days in the year.
Time (T) = $\frac{61}{366}$ years
Calculate Simple Interest (SI)
Use the formula for Simple Interest:
$ SI = \frac{P \times R \times T}{100} $
Substitute the values:
$ SI = \frac{4000 \times 7.5 \times \left(\frac{61}{366}\right)}{100} $
Simplify the calculation:
$ SI = \frac{4000 \times 7.5 \times 61}{100 \times 366} $
$ SI = \frac{30000 \times 61}{36600} $
$ SI = \frac{300 \times 61}{366} $
$ SI = \frac{18300}{366} $
$ SI = 50 $
The simple interest earned is ₹50.
Similar Questions
- Find the simple interest (in ₹) on ₹4,000 at 6.75% per annum rate of interest deposited on 21 February 2024 and withdrawn on 22 April 2024.
- Sapna invested ₹21,900 on simple interest, partly at 14% per annum and partly at 10% per annum. If she earns equal interests from the two investments after 2 years, then find the sum invested at 14% per annum (in ₹).
- Find the simple interest (in ₹) on ₹1,200 at an interest rate of 4% per month for 11 months.
- A man purchases a washing machine for $₹12,000$. He pays $₹2,000$ at first and the rest after $1\text{ year}$, on which he is charged a simple interest at the rate of $10\%$ per year. The total amount he pays for the washing machine is:
- Sapna invested ₹21,700 on simple interest, partly at 3% per annum and partly at 12% per annum. If she earns equal interests from the two investments after 7 years, then find the sum invested at 3% per annum (in ₹).
- A sum of ₹800 becomes ₹920 in 3 years at simple interest. If interest is increased by 4%, then the amount will increase to:
- Sapna invested ₹20,300 on simple interest, partly at the rate of 8% per annum and partly at the rate of 6% per annum. If she earns equal interests from the two investments after 6 years, then find the sum invested at the rate of 8% per annum (in ₹).
- Find the simple interest (in ₹) on ₹4,000 at 7.5% per annum rate of interest deposited on 5 February 2024 and withdrawn on 6 April 2024.
- What sum of money (in ₹) will amount to ₹2,400 at 5% per annum simple interest in 4 years?
- The simple interest on a certain sum for 3 years at 8% per annum is ₹96 more than the simple interest on the same sum for 2 years at 9% per annum. Find the sum.
Important Questions from Simple Interest
Anil lent a sum of Rs. 5,000 on simple interest for 10 years in such a way that the rate of interest is 6% per annum for the first 2 years, 8% per anmum for the next 2 years and 10% per annum beyond 4 years. How much interest (in Rs.) will he earn at the end of 10 years?
What will be the simple interest on a sum of Rs. 12000 at the rate of 15 percent per annum for three years ?
If in 13 years fixed sum doubles at simple interest, what will be the interest rate per year? (correct to two decimal places)
On simple interest a sum of Rs. 640 becomes Rs. 832 in 2 years. What will Rs. 860 become in 4 years at the same rate of simple interest?
A certain sum amounts to Rs. 81840 in 3 years and to Rs. 92400 in 5 years at x% p.a. under simple interest. If the rate of interest is becomes (x + 2)%, then in how many years will the same sum double itself?
