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A sum of money lent at simple interest amounts to rupees 4745 in 3 years and to rupees 5475 in 5 years find the sum and the rate percent per annum?
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A sum of money lent at simple interest amounts to rupees 4745 in 3 yea...
**Given Information:**
- Amount after 3 years (A3) = Rs. 4745
- Amount after 5 years (A5) = Rs. 5475
**Let's solve the problem step by step:**
**Step 1: Find the Simple Interest (SI) earned in 2 years.**
- We can find the interest earned in 2 years by subtracting the amount after 3 years from the amount after 5 years.
- SI = A5 - A3
- SI = Rs. 5475 - Rs. 4745
- SI = Rs. 730
**Step 2: Find the Simple Interest for 1 year.**
- Since we have found the interest for 2 years, we need to divide it by 2 to get the interest for 1 year.
- SI for 1 year = SI for 2 years / 2
- SI for 1 year = Rs. 730 / 2
- SI for 1 year = Rs. 365
**Step 3: Find the Principal Amount (P).**
- We can find the principal amount by subtracting the interest earned in 3 years from the amount after 3 years.
- P = A3 - SI for 3 years
- P = Rs. 4745 - Rs. 365
- P = Rs. 4090
**Step 4: Find the Rate of Interest (R).**
- We can find the rate of interest by dividing the SI for 1 year by the principal amount and multiplying it by 100 to get the percentage.
- R = (SI for 1 year / P) * 100
- R = (Rs. 365 / Rs. 4090) * 100
- R = 8.93%
**Step 5: Final Answer.**
- The principal amount (P) is Rs. 4090 and the rate of interest (R) is 8.93% per annum.
- Amount after 3 years (A3) = Rs. 4745
- Amount after 5 years (A5) = Rs. 5475
**Let's solve the problem step by step:**
**Step 1: Find the Simple Interest (SI) earned in 2 years.**
- We can find the interest earned in 2 years by subtracting the amount after 3 years from the amount after 5 years.
- SI = A5 - A3
- SI = Rs. 5475 - Rs. 4745
- SI = Rs. 730
**Step 2: Find the Simple Interest for 1 year.**
- Since we have found the interest for 2 years, we need to divide it by 2 to get the interest for 1 year.
- SI for 1 year = SI for 2 years / 2
- SI for 1 year = Rs. 730 / 2
- SI for 1 year = Rs. 365
**Step 3: Find the Principal Amount (P).**
- We can find the principal amount by subtracting the interest earned in 3 years from the amount after 3 years.
- P = A3 - SI for 3 years
- P = Rs. 4745 - Rs. 365
- P = Rs. 4090
**Step 4: Find the Rate of Interest (R).**
- We can find the rate of interest by dividing the SI for 1 year by the principal amount and multiplying it by 100 to get the percentage.
- R = (SI for 1 year / P) * 100
- R = (Rs. 365 / Rs. 4090) * 100
- R = 8.93%
**Step 5: Final Answer.**
- The principal amount (P) is Rs. 4090 and the rate of interest (R) is 8.93% per annum.
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A sum of money lent at simple interest amounts to rupees 4745 in 3 years and to rupees 5475 in 5 years find the sum and the rate percent per annum?
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A sum of money lent at simple interest amounts to rupees 4745 in 3 years and to rupees 5475 in 5 years find the sum and the rate percent per annum? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A sum of money lent at simple interest amounts to rupees 4745 in 3 years and to rupees 5475 in 5 years find the sum and the rate percent per annum? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum of money lent at simple interest amounts to rupees 4745 in 3 years and to rupees 5475 in 5 years find the sum and the rate percent per annum?.
A sum of money lent at simple interest amounts to rupees 4745 in 3 years and to rupees 5475 in 5 years find the sum and the rate percent per annum? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about A sum of money lent at simple interest amounts to rupees 4745 in 3 years and to rupees 5475 in 5 years find the sum and the rate percent per annum? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum of money lent at simple interest amounts to rupees 4745 in 3 years and to rupees 5475 in 5 years find the sum and the rate percent per annum?.
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