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A portion of Rs.6600 is invested at a 5% per annum, while the remainder is invested at a 3% per annum. If the annual income from the portion earning a 5% per annum is twice that of the other portion, what is the total income from the two investments after one year?
- a)Rs.270
- b)Rs.370
- c)Rs.250
- d)Rs.280
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A portion of Rs.6600 is invested at a 5% per annum, while the remainde...
A. Rs.270 Explanation: 5x + 3y = z (Total Income) x + y = 6600 -(1) 5x= 2(3y) 5x – 6y = 0 -(2) By solving (1) and (2) we get, x = 3600 so y = 3000 (3600*5*1)/100 + (3000*3*1)/100 = 180 + 90 = 270
Most Upvoted Answer
A portion of Rs.6600 is invested at a 5% per annum, while the remainde...
Let portion A=x
portion B=6600-x
5%of portion A=5x/100
3%of portion B=3(6600-x) /100
AtQ
5x/100=2(3(6600-x)) /100
x=3600
total income=5(3600) /100+3(6600-3600) /100
=270
option A
portion B=6600-x
5%of portion A=5x/100
3%of portion B=3(6600-x) /100
AtQ
5x/100=2(3(6600-x)) /100
x=3600
total income=5(3600) /100+3(6600-3600) /100
=270
option A
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Community Answer
A portion of Rs.6600 is invested at a 5% per annum, while the remainde...
Given:
- The total investment is Rs. 6600.
- A portion of Rs. x is invested at 5% per annum.
- The remainder, Rs. (6600 - x), is invested at 3% per annum.
- The annual income from the portion earning 5% is twice that of the other portion.
Let's solve the problem step by step:
Step 1: Calculate the income from the portion earning 5% per annum.
- The income from this portion is given by the formula: Income = Principal * Rate * Time.
- Let's assume the time period is 1 year.
- So, the income from this portion is 0.05x.
Step 2: Calculate the income from the portion earning 3% per annum.
- The income from this portion is given by the formula: Income = Principal * Rate * Time.
- Let's assume the time period is 1 year.
- So, the income from this portion is 0.03(6600 - x).
Step 3: According to the given information, the income from the portion earning 5% per annum is twice that of the other portion.
- So, we can write the equation: 0.05x = 2 * 0.03(6600 - x).
Step 4: Solve the equation to find the value of x.
0.05x = 2 * 0.03(6600 - x)
0.05x = 0.06(6600 - x)
0.05x = 396 - 0.06x
0.11x = 396
x = 3600
Step 5: Calculate the income from each portion.
- Income from the portion earning 5% per annum = 0.05 * 3600 = Rs. 180.
- Income from the portion earning 3% per annum = 0.03 * (6600 - 3600) = Rs. 90.
Step 6: Calculate the total income from the two investments.
Total income = Income from the portion earning 5% + Income from the portion earning 3%
Total income = 180 + 90 = Rs. 270
Therefore, the total income from the two investments after one year is Rs. 270. Hence, the correct answer is option A.
- The total investment is Rs. 6600.
- A portion of Rs. x is invested at 5% per annum.
- The remainder, Rs. (6600 - x), is invested at 3% per annum.
- The annual income from the portion earning 5% is twice that of the other portion.
Let's solve the problem step by step:
Step 1: Calculate the income from the portion earning 5% per annum.
- The income from this portion is given by the formula: Income = Principal * Rate * Time.
- Let's assume the time period is 1 year.
- So, the income from this portion is 0.05x.
Step 2: Calculate the income from the portion earning 3% per annum.
- The income from this portion is given by the formula: Income = Principal * Rate * Time.
- Let's assume the time period is 1 year.
- So, the income from this portion is 0.03(6600 - x).
Step 3: According to the given information, the income from the portion earning 5% per annum is twice that of the other portion.
- So, we can write the equation: 0.05x = 2 * 0.03(6600 - x).
Step 4: Solve the equation to find the value of x.
0.05x = 2 * 0.03(6600 - x)
0.05x = 0.06(6600 - x)
0.05x = 396 - 0.06x
0.11x = 396
x = 3600
Step 5: Calculate the income from each portion.
- Income from the portion earning 5% per annum = 0.05 * 3600 = Rs. 180.
- Income from the portion earning 3% per annum = 0.03 * (6600 - 3600) = Rs. 90.
Step 6: Calculate the total income from the two investments.
Total income = Income from the portion earning 5% + Income from the portion earning 3%
Total income = 180 + 90 = Rs. 270
Therefore, the total income from the two investments after one year is Rs. 270. Hence, the correct answer is option A.
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A portion of Rs.6600 is invested at a 5% per annum, while the remainder is invested at a 3% per annum. If the annual income from the portion earning a 5% per annum is twice that of the other portion, what is the total income from the two investments after one year?a)Rs.270b)Rs.370c)Rs.250d)Rs.280Correct answer is option 'A'. Can you explain this answer?
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A portion of Rs.6600 is invested at a 5% per annum, while the remainder is invested at a 3% per annum. If the annual income from the portion earning a 5% per annum is twice that of the other portion, what is the total income from the two investments after one year?a)Rs.270b)Rs.370c)Rs.250d)Rs.280Correct answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A portion of Rs.6600 is invested at a 5% per annum, while the remainder is invested at a 3% per annum. If the annual income from the portion earning a 5% per annum is twice that of the other portion, what is the total income from the two investments after one year?a)Rs.270b)Rs.370c)Rs.250d)Rs.280Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A portion of Rs.6600 is invested at a 5% per annum, while the remainder is invested at a 3% per annum. If the annual income from the portion earning a 5% per annum is twice that of the other portion, what is the total income from the two investments after one year?a)Rs.270b)Rs.370c)Rs.250d)Rs.280Correct answer is option 'A'. Can you explain this answer?.
A portion of Rs.6600 is invested at a 5% per annum, while the remainder is invested at a 3% per annum. If the annual income from the portion earning a 5% per annum is twice that of the other portion, what is the total income from the two investments after one year?a)Rs.270b)Rs.370c)Rs.250d)Rs.280Correct answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A portion of Rs.6600 is invested at a 5% per annum, while the remainder is invested at a 3% per annum. If the annual income from the portion earning a 5% per annum is twice that of the other portion, what is the total income from the two investments after one year?a)Rs.270b)Rs.370c)Rs.250d)Rs.280Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A portion of Rs.6600 is invested at a 5% per annum, while the remainder is invested at a 3% per annum. If the annual income from the portion earning a 5% per annum is twice that of the other portion, what is the total income from the two investments after one year?a)Rs.270b)Rs.370c)Rs.250d)Rs.280Correct answer is option 'A'. Can you explain this answer?.
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