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DIRECTIONS: Choose the most appropriate answer:
Q. A sum was invested for 3 years at simple interest at a certain rate. Had it been invested at 4% higher rate of interest, it would have fetched Rs 600 more. The sum is
- a)Rs 4000
- b)Rs 4950
- c)Rs 5000
- d)Rs 5150
Correct answer is option 'C'. Can you explain this answer?
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DIRECTIONS: Choose the most appropriate answer:Q.A sum was invested fo...
Let the sum be ‘P’ and rate be ‘r’ simple interest (S.I.)
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DIRECTIONS: Choose the most appropriate answer:Q.A sum was invested fo...
Understanding the Problem
The question states that a certain sum was invested for 3 years at a simple interest rate. If the interest rate had been increased by 4%, the total interest gained would have been Rs 600 more. We need to find the original sum invested.
Formula for Simple Interest
The formula for simple interest is:
- Simple Interest (SI) = (Principal × Rate × Time) / 100
Variables
- Let the principal amount (sum) be P.
- Let the original rate be R% per annum.
- The time period is 3 years.
Interest Calculation
1. Original Interest:
- SI1 = (P × R × 3) / 100
2. Increased Interest:
- New Rate = R + 4
- SI2 = (P × (R + 4) × 3) / 100
- SI2 = (P × R × 3) / 100 + (P × 4 × 3) / 100
Difference in Interest
According to the problem, the difference between the two interests is Rs 600:
- SI2 - SI1 = 600
By substituting the values:
- (P × 4 × 3) / 100 = 600
Solving for P
1. Simplify:
- 12P / 100 = 600
- 12P = 60000
- P = 60000 / 12
- P = 5000
Thus, the original sum invested is Rs 5000.
Conclusion
The correct answer is option C) Rs 5000.
The question states that a certain sum was invested for 3 years at a simple interest rate. If the interest rate had been increased by 4%, the total interest gained would have been Rs 600 more. We need to find the original sum invested.
Formula for Simple Interest
The formula for simple interest is:
- Simple Interest (SI) = (Principal × Rate × Time) / 100
Variables
- Let the principal amount (sum) be P.
- Let the original rate be R% per annum.
- The time period is 3 years.
Interest Calculation
1. Original Interest:
- SI1 = (P × R × 3) / 100
2. Increased Interest:
- New Rate = R + 4
- SI2 = (P × (R + 4) × 3) / 100
- SI2 = (P × R × 3) / 100 + (P × 4 × 3) / 100
Difference in Interest
According to the problem, the difference between the two interests is Rs 600:
- SI2 - SI1 = 600
By substituting the values:
- (P × 4 × 3) / 100 = 600
Solving for P
1. Simplify:
- 12P / 100 = 600
- 12P = 60000
- P = 60000 / 12
- P = 5000
Thus, the original sum invested is Rs 5000.
Conclusion
The correct answer is option C) Rs 5000.
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DIRECTIONS: Choose the most appropriate answer:Q.A sum was invested for 3 years at simple interest at a certain rate. Had it been invested at 4% higher rate of interest, it would have fetched Rs 600 more. The sum isa)Rs 4000b)Rs 4950c)Rs 5000d)Rs5150Correct answer is option 'C'. Can you explain this answer?
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DIRECTIONS: Choose the most appropriate answer:Q.A sum was invested for 3 years at simple interest at a certain rate. Had it been invested at 4% higher rate of interest, it would have fetched Rs 600 more. The sum isa)Rs 4000b)Rs 4950c)Rs 5000d)Rs5150Correct answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about DIRECTIONS: Choose the most appropriate answer:Q.A sum was invested for 3 years at simple interest at a certain rate. Had it been invested at 4% higher rate of interest, it would have fetched Rs 600 more. The sum isa)Rs 4000b)Rs 4950c)Rs 5000d)Rs5150Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONS: Choose the most appropriate answer:Q.A sum was invested for 3 years at simple interest at a certain rate. Had it been invested at 4% higher rate of interest, it would have fetched Rs 600 more. The sum isa)Rs 4000b)Rs 4950c)Rs 5000d)Rs5150Correct answer is option 'C'. Can you explain this answer?.
DIRECTIONS: Choose the most appropriate answer:Q.A sum was invested for 3 years at simple interest at a certain rate. Had it been invested at 4% higher rate of interest, it would have fetched Rs 600 more. The sum isa)Rs 4000b)Rs 4950c)Rs 5000d)Rs5150Correct answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about DIRECTIONS: Choose the most appropriate answer:Q.A sum was invested for 3 years at simple interest at a certain rate. Had it been invested at 4% higher rate of interest, it would have fetched Rs 600 more. The sum isa)Rs 4000b)Rs 4950c)Rs 5000d)Rs5150Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for DIRECTIONS: Choose the most appropriate answer:Q.A sum was invested for 3 years at simple interest at a certain rate. Had it been invested at 4% higher rate of interest, it would have fetched Rs 600 more. The sum isa)Rs 4000b)Rs 4950c)Rs 5000d)Rs5150Correct answer is option 'C'. Can you explain this answer?.
Solutions for DIRECTIONS: Choose the most appropriate answer:Q.A sum was invested for 3 years at simple interest at a certain rate. Had it been invested at 4% higher rate of interest, it would have fetched Rs 600 more. The sum isa)Rs 4000b)Rs 4950c)Rs 5000d)Rs5150Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence.
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