JAMB 1990 · UME · Q7

Three brothers in a business deal share the profit at the end of the contract. The first received 13\frac13 of the profit and the second 23\frac23 of the remainder. If the third received the remaining ₦12,000.00, how much profit did they share?

Worked solution (try it first)
  1. After the first brother takes 13\frac13, the remainder is 23\frac23 of the profit.
  2. The second takes 23\frac23 of the remainder, so the third gets the other 13\frac13 of it: 13×23=29\frac13 \times \frac23 = \frac29 of the profit.
  3. So 29\frac29 of the profit is ₦12,000.
  4. One ninth is ₦6,000, and the profit is 9×6000=54 0009 \times 6000 = 54\,000: ₦54,000.00, option B.

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