IDNLearn.com: Where questions are met with accurate and insightful answers. Join our community to receive prompt, thorough responses from knowledgeable experts.
Sagot :
Sure, let's solve each of these step-by-step!
The formula to calculate simple interest is:
[tex]\[ \text{Interest} = \frac{\text{Principal} \times \text{Rate} \times \text{Time}}{100} \][/tex]
And the amount after interest is added is:
[tex]\[ \text{Amount} = \text{Principal} + \text{Interest} \][/tex]
Let's break it down for each given principal amount, rate, and time:
### i. Rs. 900 for 3 years at 6%
1. Principal (P) = Rs. 900
2. Rate (R) = 6%
3. Time (T) = 3 years
Calculate the interest:
[tex]\[ \text{Interest} = \frac{900 \times 6 \times 3}{100} = 162 \][/tex]
Calculate the amount:
[tex]\[ \text{Amount} = 900 + 162 = 1062 \][/tex]
So, the interest is Rs. 162 and the amount is Rs. 1062.
### ii. Rs. 16000 for 3 years at 5%
1. Principal (P) = Rs. 16000
2. Rate (R) = 5%
3. Time (T) = 3 years
Calculate the interest:
[tex]\[ \text{Interest} = \frac{16000 \times 5 \times 3}{100} = 2400 \][/tex]
Calculate the amount:
[tex]\[ \text{Amount} = 16000 + 2400 = 18400 \][/tex]
So, the interest is Rs. 2400 and the amount is Rs. 18400.
### iii. Rs. 27000 for 4 years at 3%
1. Principal (P) = Rs. 27000
2. Rate (R) = 3%
3. Time (T) = 4 years
Calculate the interest:
[tex]\[ \text{Interest} = \frac{27000 \times 3 \times 4}{100} = 3240 \][/tex]
Calculate the amount:
[tex]\[ \text{Amount} = 27000 + 3240 = 30240 \][/tex]
So, the interest is Rs. 3240 and the amount is Rs. 30240.
### iv. Rs. 45000 for 2 years at 4%
1. Principal (P) = Rs. 45000
2. Rate (R) = 4%
3. Time (T) = 2 years
Calculate the interest:
[tex]\[ \text{Interest} = \frac{45000 \times 4 \times 2}{100} = 3600 \][/tex]
Calculate the amount:
[tex]\[ \text{Amount} = 45000 + 3600 = 48600 \][/tex]
So, the interest is Rs. 3600 and the amount is Rs. 48600.
### v. Rs. 35000 for 2 years at 7%
1. Principal (P) = Rs. 35000
2. Rate (R) = 7%
3. Time (T) = 2 years
Calculate the interest:
[tex]\[ \text{Interest} = \frac{35000 \times 7 \times 2}{100} = 4900 \][/tex]
Calculate the amount:
[tex]\[ \text{Amount} = 35000 + 4900 = 39900 \][/tex]
So, the interest is Rs. 4900 and the amount is Rs. 39900.
In summary:
1. Rs. 900 for 3 years at 6% results in an interest of Rs. 162 and an amount of Rs. 1062.
2. Rs. 16000 for 3 years at 5% results in an interest of Rs. 2400 and an amount of Rs. 18400.
3. Rs. 27000 for 4 years at 3% results in an interest of Rs. 3240 and an amount of Rs. 30240.
4. Rs. 45000 for 2 years at 4% results in an interest of Rs. 3600 and an amount of Rs. 48600.
5. Rs. 35000 for 2 years at 7% results in an interest of Rs. 4900 and an amount of Rs. 39900.
The formula to calculate simple interest is:
[tex]\[ \text{Interest} = \frac{\text{Principal} \times \text{Rate} \times \text{Time}}{100} \][/tex]
And the amount after interest is added is:
[tex]\[ \text{Amount} = \text{Principal} + \text{Interest} \][/tex]
Let's break it down for each given principal amount, rate, and time:
### i. Rs. 900 for 3 years at 6%
1. Principal (P) = Rs. 900
2. Rate (R) = 6%
3. Time (T) = 3 years
Calculate the interest:
[tex]\[ \text{Interest} = \frac{900 \times 6 \times 3}{100} = 162 \][/tex]
Calculate the amount:
[tex]\[ \text{Amount} = 900 + 162 = 1062 \][/tex]
So, the interest is Rs. 162 and the amount is Rs. 1062.
### ii. Rs. 16000 for 3 years at 5%
1. Principal (P) = Rs. 16000
2. Rate (R) = 5%
3. Time (T) = 3 years
Calculate the interest:
[tex]\[ \text{Interest} = \frac{16000 \times 5 \times 3}{100} = 2400 \][/tex]
Calculate the amount:
[tex]\[ \text{Amount} = 16000 + 2400 = 18400 \][/tex]
So, the interest is Rs. 2400 and the amount is Rs. 18400.
### iii. Rs. 27000 for 4 years at 3%
1. Principal (P) = Rs. 27000
2. Rate (R) = 3%
3. Time (T) = 4 years
Calculate the interest:
[tex]\[ \text{Interest} = \frac{27000 \times 3 \times 4}{100} = 3240 \][/tex]
Calculate the amount:
[tex]\[ \text{Amount} = 27000 + 3240 = 30240 \][/tex]
So, the interest is Rs. 3240 and the amount is Rs. 30240.
### iv. Rs. 45000 for 2 years at 4%
1. Principal (P) = Rs. 45000
2. Rate (R) = 4%
3. Time (T) = 2 years
Calculate the interest:
[tex]\[ \text{Interest} = \frac{45000 \times 4 \times 2}{100} = 3600 \][/tex]
Calculate the amount:
[tex]\[ \text{Amount} = 45000 + 3600 = 48600 \][/tex]
So, the interest is Rs. 3600 and the amount is Rs. 48600.
### v. Rs. 35000 for 2 years at 7%
1. Principal (P) = Rs. 35000
2. Rate (R) = 7%
3. Time (T) = 2 years
Calculate the interest:
[tex]\[ \text{Interest} = \frac{35000 \times 7 \times 2}{100} = 4900 \][/tex]
Calculate the amount:
[tex]\[ \text{Amount} = 35000 + 4900 = 39900 \][/tex]
So, the interest is Rs. 4900 and the amount is Rs. 39900.
In summary:
1. Rs. 900 for 3 years at 6% results in an interest of Rs. 162 and an amount of Rs. 1062.
2. Rs. 16000 for 3 years at 5% results in an interest of Rs. 2400 and an amount of Rs. 18400.
3. Rs. 27000 for 4 years at 3% results in an interest of Rs. 3240 and an amount of Rs. 30240.
4. Rs. 45000 for 2 years at 4% results in an interest of Rs. 3600 and an amount of Rs. 48600.
5. Rs. 35000 for 2 years at 7% results in an interest of Rs. 4900 and an amount of Rs. 39900.
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to assisting you again.
