JAMB - Mathematics (1979 - No. 8)
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
N5000
N1800
N12000
N24000
N8000
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
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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