The interest on a certain sum (principal) at 6% per annum is₹300. Find...
Given information:
- Principal amount: not given
- Rate of interest: 6% per annum
- Interest earned: ₹300
Calculating the principal amount:
To find the principal amount, we can use the formula:
Interest = (Principal * Rate * Time)/100
Given that the interest earned is ₹300 and the rate of interest is 6% per annum, we can substitute these values into the formula:
300 = (Principal * 6 * 1)/100
Simplifying the equation:
300 = 0.06 * Principal
Dividing both sides by 0.06:
Principal = 300/0.06
Principal = ₹5000
Therefore, the principal amount is ₹5000.
Calculating the interest at 5% per annum:
To find the interest on the same principal amount at a different rate (5% per annum), we can again use the formula:
Interest = (Principal * Rate * Time)/100
Given that the principal amount is ₹5000 and the rate of interest is 5% per annum, we can substitute these values into the formula:
Interest = (5000 * 5 * 1)/100
Simplifying the equation:
Interest = 25000/100
Interest = ₹250
Therefore, the interest on the same principal amount at 5% per annum for the same period is ₹250.
Explanation:
- The given problem involves finding the interest on a certain sum at two different rates of interest for the same period.
- We start by calculating the principal amount using the given interest and rate of interest (6%).
- Using the formula for calculating interest, we substitute the principal amount, rate of interest (5%), and the time period (1 year) to find the interest at 5% per annum.
- The principal amount is ₹5000, and the interest at 5% per annum is ₹250.
- This means that if the same sum of ₹5000 is invested at a rate of 5% per annum for the same period, the interest earned will be ₹250.
The interest on a certain sum (principal) at 6% per annum is₹300. Find...
Hard
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