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A portion of Rs.8500 is invested at a8% per annum, while the remainder is invested at a 3% per annum. If the annual income from the portion earning a 8% per annum is thrice that of the other portion, what is the total income from the two investments after one year?
  • a)
    Rs.350
  • b)
    Rs.370
  • c)
    Rs.450
  • d)
    Rs.480
  • e)
    Rs.520
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A portion of Rs.8500 is invested at a8% per annum, while the remainder...
Answer –D.Rs.480 Explanation : 8x + 3y = z (Total Income) x + y = 8500 -(1) 8x= 3(3y) 8x – 9y = 0 -(2) By solving (1) and (2) we get, x = 4500 so y = 4000 (4500*8*1)/100 + (4000*3*1)/100 = 360 + 120 = 480
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A portion of Rs.8500 is invested at a8% per annum, while the remainder...
Given information:
- A portion of Rs. 8500 is invested at 8% per annum.
- The remainder is invested at 3% per annum.
- The income from the portion earning 8% per annum is thrice that of the other portion.

To find:
- The total income from the two investments after one year.

Let's assume the amount invested at 8% per annum is x and the amount invested at 3% per annum is (8500 - x).

First, we need to find the income from both portions.

Income from the portion invested at 8% per annum = (x) * (8/100) = 8x/100
Income from the portion invested at 3% per annum = (8500 - x) * (3/100) = (25500 - 3x)/100

According to the given information, the income from the portion invested at 8% per annum is three times the income from the portion invested at 3% per annum. Mathematically, we can represent this as:

8x/100 = 3 * (25500 - 3x)/100

Let's solve this equation to find the value of x.

8x = 3 * (25500 - 3x)
8x = 76500 - 9x
17x = 76500
x = 4500

Now we can calculate the income from both portions:

Income from the portion invested at 8% per annum = 8 * 4500/100 = Rs. 360
Income from the portion invested at 3% per annum = 3 * (25500 - 3 * 4500)/100 = Rs. 120

Finally, we can find the total income from both investments:

Total income = Income from the portion invested at 8% per annum + Income from the portion invested at 3% per annum
Total income = 360 + 120 = Rs. 480

Therefore, the total income from the two investments after one year is Rs. 480.
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A portion of Rs.8500 is invested at a8% per annum, while the remainder is invested at a 3% per annum. If the annual income from the portion earning a 8% per annum is thrice that of the other portion, what is the total income from the two investments after one year?a)Rs.350b)Rs.370c)Rs.450d)Rs.480e)Rs.520Correct answer is option 'D'. Can you explain this answer?
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A portion of Rs.8500 is invested at a8% per annum, while the remainder is invested at a 3% per annum. If the annual income from the portion earning a 8% per annum is thrice that of the other portion, what is the total income from the two investments after one year?a)Rs.350b)Rs.370c)Rs.450d)Rs.480e)Rs.520Correct answer is option 'D'. 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.8500 is invested at a8% per annum, while the remainder is invested at a 3% per annum. If the annual income from the portion earning a 8% per annum is thrice that of the other portion, what is the total income from the two investments after one year?a)Rs.350b)Rs.370c)Rs.450d)Rs.480e)Rs.520Correct answer is option 'D'. 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.8500 is invested at a8% per annum, while the remainder is invested at a 3% per annum. If the annual income from the portion earning a 8% per annum is thrice that of the other portion, what is the total income from the two investments after one year?a)Rs.350b)Rs.370c)Rs.450d)Rs.480e)Rs.520Correct answer is option 'D'. Can you explain this answer?.
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