IDNLearn.com offers a unique blend of expert answers and community-driven knowledge. Discover the information you need quickly and easily with our reliable and thorough Q&A platform.
Sagot :
Certainly! Let's solve this problem step-by-step.
We have the following information given:
- Principal amount ([tex]\( P \)[/tex]) = ₹ 5675
- Annual interest rate ([tex]\( R \)[/tex]) = 8.5%
- Time period ([tex]\( T \)[/tex]) = [tex]\( 4 \frac{1}{3} \)[/tex] years
Firstly, we convert the time period given in mixed fraction to an improper fraction for easier calculation:
[tex]\[ T = 4 + \frac{1}{3} = \frac{12}{3} + \frac{1}{3} = \frac{13}{3} \text{ years} \][/tex]
Now we can use the simple interest formula to calculate the interest accrued over the time period:
[tex]\[ \text{Simple Interest (SI)} = \frac{P \times R \times T}{100} \][/tex]
Substitute the values into the formula:
[tex]\[ SI = \frac{5675 \times 8.5 \times \frac{13}{3}}{100} \][/tex]
Now, calculate the product:
[tex]\[ 5675 \times 8.5 = 48237.5 \][/tex]
Multiply this result by [tex]\( \frac{13}{3} \)[/tex]:
[tex]\[ \text{Numerator} = 48237.5 \times 13 = 627087.5 \][/tex]
Divide this by 3:
[tex]\[ \frac{627087.5}{3} = 209029.16666666666\][/tex]
And finally, divide by 100 to find the interest:
[tex]\[ SI = \frac{209029.16666666666}{100} = 2090.2916666666665 \][/tex]
Thus, the simple interest accrued over [tex]\(4 \frac{1}{3}\)[/tex] years is:
[tex]\[ \text{Simple Interest} = ₹ 2090.29 \][/tex]
Next, to find the total amount to be paid at the end of the period, we add the simple interest to the principal amount:
[tex]\[ \text{Total Amount} = P + SI \][/tex]
Substitute the values:
[tex]\[ \text{Total Amount} = 5675 + 2090.29 = 7765.29 \][/tex]
Therefore, the amount to be paid at the end of [tex]\( \)[/tex] years at a rate of 8.5% on a principal of ₹ 5675 is:
[tex]\[ \text{Amount to be Paid} = ₹ 7765.29 \][/tex]
We have the following information given:
- Principal amount ([tex]\( P \)[/tex]) = ₹ 5675
- Annual interest rate ([tex]\( R \)[/tex]) = 8.5%
- Time period ([tex]\( T \)[/tex]) = [tex]\( 4 \frac{1}{3} \)[/tex] years
Firstly, we convert the time period given in mixed fraction to an improper fraction for easier calculation:
[tex]\[ T = 4 + \frac{1}{3} = \frac{12}{3} + \frac{1}{3} = \frac{13}{3} \text{ years} \][/tex]
Now we can use the simple interest formula to calculate the interest accrued over the time period:
[tex]\[ \text{Simple Interest (SI)} = \frac{P \times R \times T}{100} \][/tex]
Substitute the values into the formula:
[tex]\[ SI = \frac{5675 \times 8.5 \times \frac{13}{3}}{100} \][/tex]
Now, calculate the product:
[tex]\[ 5675 \times 8.5 = 48237.5 \][/tex]
Multiply this result by [tex]\( \frac{13}{3} \)[/tex]:
[tex]\[ \text{Numerator} = 48237.5 \times 13 = 627087.5 \][/tex]
Divide this by 3:
[tex]\[ \frac{627087.5}{3} = 209029.16666666666\][/tex]
And finally, divide by 100 to find the interest:
[tex]\[ SI = \frac{209029.16666666666}{100} = 2090.2916666666665 \][/tex]
Thus, the simple interest accrued over [tex]\(4 \frac{1}{3}\)[/tex] years is:
[tex]\[ \text{Simple Interest} = ₹ 2090.29 \][/tex]
Next, to find the total amount to be paid at the end of the period, we add the simple interest to the principal amount:
[tex]\[ \text{Total Amount} = P + SI \][/tex]
Substitute the values:
[tex]\[ \text{Total Amount} = 5675 + 2090.29 = 7765.29 \][/tex]
Therefore, the amount to be paid at the end of [tex]\( \)[/tex] years at a rate of 8.5% on a principal of ₹ 5675 is:
[tex]\[ \text{Amount to be Paid} = ₹ 7765.29 \][/tex]
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for visiting IDNLearn.com. We’re here to provide accurate and reliable answers, so visit us again soon.