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The annul profits of a transport business were divided between the partners A and B...

Mathematics
JAMB 1979

The annul profits of a transport business were divided between the partners A and B in the ratio 3 : 5. If B received N3000 more than A, the total profit was
  • A. N5000
  • B. N1800
  • C. N12000
  • D. N24000
  • E. N8000
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Correct Answer: Option C
Explanation
A : B = 3 : 5

Total ratio = 3 + 5 = 8

Let rept, the total profit, A receives \(\frac{3x}{8}\)

\(\frac{5x}{8}\) - \(\frac{3}{x}\) = 3000

\(\frac{5x}{8}\) - \(\frac{3x}{8}\) = 3000

= \(\frac{2x}{8}\)

= 3000

2x = 2400

x = 1200

N12,000

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