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The bankers discount and the true discount of a sum at 10% per annum simple interest for the same time are Rs.100 and Rs.80 respectively. What is the sum and the time?
- a)Sum = Rs.400 and Time = 5 years
- b)Sum = Rs.200 and Time = 2.5 years
- c)Sum = Rs.400 and Time = 2.5 years
- d)Sum = Rs.200 and Time = 5 years
Correct answer is option 'C'. Can you explain this answer?
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Given:
Banker's discount = Rs. 100
True discount = Rs. 80
Rate of interest = 10% per annum
To find:
The sum and the time
Approach:
1. Banker's discount is calculated on the face value of the sum, while the true discount is calculated on the amount obtained after deducting the banker's discount.
2. The formula for banker's discount is given by:
Banker's discount = (Sum * Rate * Time) / 100
3. The formula for true discount is given by:
True discount = (Banker's discount * 100) / (Rate * Time)
4. From the given information, we can form two equations:
Equation 1: 100 = (Sum * 10 * Time) / 100
Equation 2: 80 = (100 * 100) / (10 * Time)
5. Solve these equations to find the sum and time.
Calculation:
Equation 1: 100 = (Sum * 10 * Time) / 100
Multiplying both sides by 100:
10000 = 10 * Sum * Time
Dividing both sides by 10:
1000 = Sum * Time
Equation 2: 80 = (100 * 100) / (10 * Time)
Multiplying both sides by 10 * Time:
800 = 100 * 100
Dividing both sides by 100:
8 = Sum * Time
From equations 1 and 2, we have:
Sum * Time = 1000 (equation 3)
Sum * Time = 8 (equation 4)
From equations 3 and 4, we can equate the two expressions for Sum * Time:
1000 = 8
Dividing both sides by 8:
Sum * Time = 125
Calculating the sum and time:
We need to find two numbers whose product is 125 and whose sum is a multiple of both 1000 and 8.
The numbers that satisfy these conditions are 25 and 5.
Therefore, the sum = Rs. 400 and the time = 2.5 years.
Answer:
The sum is Rs. 400 and the time is 2.5 years.
Banker's discount = Rs. 100
True discount = Rs. 80
Rate of interest = 10% per annum
To find:
The sum and the time
Approach:
1. Banker's discount is calculated on the face value of the sum, while the true discount is calculated on the amount obtained after deducting the banker's discount.
2. The formula for banker's discount is given by:
Banker's discount = (Sum * Rate * Time) / 100
3. The formula for true discount is given by:
True discount = (Banker's discount * 100) / (Rate * Time)
4. From the given information, we can form two equations:
Equation 1: 100 = (Sum * 10 * Time) / 100
Equation 2: 80 = (100 * 100) / (10 * Time)
5. Solve these equations to find the sum and time.
Calculation:
Equation 1: 100 = (Sum * 10 * Time) / 100
Multiplying both sides by 100:
10000 = 10 * Sum * Time
Dividing both sides by 10:
1000 = Sum * Time
Equation 2: 80 = (100 * 100) / (10 * Time)
Multiplying both sides by 10 * Time:
800 = 100 * 100
Dividing both sides by 100:
8 = Sum * Time
From equations 1 and 2, we have:
Sum * Time = 1000 (equation 3)
Sum * Time = 8 (equation 4)
From equations 3 and 4, we can equate the two expressions for Sum * Time:
1000 = 8
Dividing both sides by 8:
Sum * Time = 125
Calculating the sum and time:
We need to find two numbers whose product is 125 and whose sum is a multiple of both 1000 and 8.
The numbers that satisfy these conditions are 25 and 5.
Therefore, the sum = Rs. 400 and the time = 2.5 years.
Answer:
The sum is Rs. 400 and the time is 2.5 years.
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The bankers discount and the true discount of a sum at 10% per annum simple interest for the same time are Rs.100 and Rs.80 respectively. What is the sum and the time?a)Sum = Rs.400 and Time = 5 yearsb)Sum = Rs.200 and Time = 2.5 yearsc)Sum = Rs.400 and Time = 2.5 yearsd)Sum = Rs.200 and Time = 5 yearsCorrect answer is option 'C'. Can you explain this answer?
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The bankers discount and the true discount of a sum at 10% per annum simple interest for the same time are Rs.100 and Rs.80 respectively. What is the sum and the time?a)Sum = Rs.400 and Time = 5 yearsb)Sum = Rs.200 and Time = 2.5 yearsc)Sum = Rs.400 and Time = 2.5 yearsd)Sum = Rs.200 and Time = 5 yearsCorrect answer is option 'C'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about The bankers discount and the true discount of a sum at 10% per annum simple interest for the same time are Rs.100 and Rs.80 respectively. What is the sum and the time?a)Sum = Rs.400 and Time = 5 yearsb)Sum = Rs.200 and Time = 2.5 yearsc)Sum = Rs.400 and Time = 2.5 yearsd)Sum = Rs.200 and Time = 5 yearsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The bankers discount and the true discount of a sum at 10% per annum simple interest for the same time are Rs.100 and Rs.80 respectively. What is the sum and the time?a)Sum = Rs.400 and Time = 5 yearsb)Sum = Rs.200 and Time = 2.5 yearsc)Sum = Rs.400 and Time = 2.5 yearsd)Sum = Rs.200 and Time = 5 yearsCorrect answer is option 'C'. Can you explain this answer?.
The bankers discount and the true discount of a sum at 10% per annum simple interest for the same time are Rs.100 and Rs.80 respectively. What is the sum and the time?a)Sum = Rs.400 and Time = 5 yearsb)Sum = Rs.200 and Time = 2.5 yearsc)Sum = Rs.400 and Time = 2.5 yearsd)Sum = Rs.200 and Time = 5 yearsCorrect answer is option 'C'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about The bankers discount and the true discount of a sum at 10% per annum simple interest for the same time are Rs.100 and Rs.80 respectively. What is the sum and the time?a)Sum = Rs.400 and Time = 5 yearsb)Sum = Rs.200 and Time = 2.5 yearsc)Sum = Rs.400 and Time = 2.5 yearsd)Sum = Rs.200 and Time = 5 yearsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The bankers discount and the true discount of a sum at 10% per annum simple interest for the same time are Rs.100 and Rs.80 respectively. What is the sum and the time?a)Sum = Rs.400 and Time = 5 yearsb)Sum = Rs.200 and Time = 2.5 yearsc)Sum = Rs.400 and Time = 2.5 yearsd)Sum = Rs.200 and Time = 5 yearsCorrect answer is option 'C'. Can you explain this answer?.
Solutions for The bankers discount and the true discount of a sum at 10% per annum simple interest for the same time are Rs.100 and Rs.80 respectively. What is the sum and the time?a)Sum = Rs.400 and Time = 5 yearsb)Sum = Rs.200 and Time = 2.5 yearsc)Sum = Rs.400 and Time = 2.5 yearsd)Sum = Rs.200 and Time = 5 yearsCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for LR.
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The bankers discount and the true discount of a sum at 10% per annum simple interest for the same time are Rs.100 and Rs.80 respectively. What is the sum and the time?a)Sum = Rs.400 and Time = 5 yearsb)Sum = Rs.200 and Time = 2.5 yearsc)Sum = Rs.400 and Time = 2.5 yearsd)Sum = Rs.200 and Time = 5 yearsCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The bankers discount and the true discount of a sum at 10% per annum simple interest for the same time are Rs.100 and Rs.80 respectively. What is the sum and the time?a)Sum = Rs.400 and Time = 5 yearsb)Sum = Rs.200 and Time = 2.5 yearsc)Sum = Rs.400 and Time = 2.5 yearsd)Sum = Rs.200 and Time = 5 yearsCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The bankers discount and the true discount of a sum at 10% per annum simple interest for the same time are Rs.100 and Rs.80 respectively. What is the sum and the time?a)Sum = Rs.400 and Time = 5 yearsb)Sum = Rs.200 and Time = 2.5 yearsc)Sum = Rs.400 and Time = 2.5 yearsd)Sum = Rs.200 and Time = 5 yearsCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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