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A sum of $12 million was divided between two investments. The smaller portion was invested at 6%, and the remainder at 4%. The earnings from the 4% investment exceeded the earnings from the 6% investment by $20,000. Find the amount invested at each rate.
  • a)
    $4.6 million, $9.2 million
  • b)
    $4.6 million, $7.4 million
  • c)
    $2.8 million, $7.4 million
  • d)
    $10.5 million, $1.5 million
  • e)
    $4.6 million, $2.8 million
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A sum of $12 million was divided between two investments. The smaller ...
Suppose,
Smaller portion (@6%) = 100x
Larger portion (@4%) = 100y
Putting all values in '000s, we get
100x + 100y = 12000
or, x + y = 120.....................(1)
-6x + 4y = 20................................(2)
Solving (1) & (2) equations, we get
100x = 4600 ('000s) = 4.6 mn
100y = 7400 ('000s) = 7.4 mn
A. Amount invested at 6%
$4.6 million
B. Amount invested at 4%
$7.4 million
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A sum of $12 million was divided between two investments. The smaller portion was invested at 6%, and the remainder at 4%. The earnings from the 4% investment exceeded the earnings from the 6% investment by $20,000. Find the amount invested at each rate.a)$4.6 million, $9.2 millionb)$4.6 million, $7.4 millionc)$2.8 million, $7.4 milliond)$10.5 million, $1.5 millione)$4.6 million, $2.8 millionCorrect answer is option 'B'. Can you explain this answer?
Question Description
A sum of $12 million was divided between two investments. The smaller portion was invested at 6%, and the remainder at 4%. The earnings from the 4% investment exceeded the earnings from the 6% investment by $20,000. Find the amount invested at each rate.a)$4.6 million, $9.2 millionb)$4.6 million, $7.4 millionc)$2.8 million, $7.4 milliond)$10.5 million, $1.5 millione)$4.6 million, $2.8 millionCorrect answer is option 'B'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A sum of $12 million was divided between two investments. The smaller portion was invested at 6%, and the remainder at 4%. The earnings from the 4% investment exceeded the earnings from the 6% investment by $20,000. Find the amount invested at each rate.a)$4.6 million, $9.2 millionb)$4.6 million, $7.4 millionc)$2.8 million, $7.4 milliond)$10.5 million, $1.5 millione)$4.6 million, $2.8 millionCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum of $12 million was divided between two investments. The smaller portion was invested at 6%, and the remainder at 4%. The earnings from the 4% investment exceeded the earnings from the 6% investment by $20,000. Find the amount invested at each rate.a)$4.6 million, $9.2 millionb)$4.6 million, $7.4 millionc)$2.8 million, $7.4 milliond)$10.5 million, $1.5 millione)$4.6 million, $2.8 millionCorrect answer is option 'B'. Can you explain this answer?.
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