Home » Past Questions » Mathematics » Uche, Adamu and Ope share profit on a business deal. Uche received \(\frac{1}{3}\) of the profit and Adamu received \(\frac{2}{3}\) of the remainder. If Ope recei...

Uche, Adamu and Ope share profit on a business deal. Uche received \(\frac{1}{3}\) of the profit and Adamu received \(\frac{2}{3}\) of the remainder. If Ope recei...


Question

Uche, Adamu and Ope share profit on a business deal. Uche received \(\frac{1}{3}\) of the profit and Adamu received \(\frac{2}{3}\) of the remainder. If Ope received the remaining ₦12,000, how much profit did they share?

Options

A)
₦54,000
B)
₦58,000
C)
₦48,000
D)
₦42,000

The correct answer is A.


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Discussion (3)

  • Profit= a
    Uche= 1/3 of a
    Adamu= 2/3 of a
    Ope= remaining #12,000
    Uche= 1/3 of a
    =a/3
    Adamu= 2/3 of remainder of a
    = a -(1/3 of a)
    =a/1 - a/3
    = 3a - a/ 3
    = 2a/3
    Remainder of the profit= 2a /3
    Adamu = 2/3 of 2a/3
    = 2/3 X 2a/3
    Adamu receives 4a/9
    Total profit = a/3 + 4a/9 +12000=a
    12000= a/1 - a/3 - 4a/ 9
    12000= 9a-3a-4a/ 9
    12000= 2a/9
    Cross multiply
    12000 X 9 = 2a
    108,000= 2a
    Divide both sides by 2
    2a/2 = 108,000/2
    a= 54,000

  • Profit= x
    Uche= 1/3 of x
    Adamu= 2/3 of x
    Ope= remaining #12,000
    Uche= 1/3 of x
    =x/3
    Adamu= 2/3 of remainder of x
    = x -(1/3 of x)
    =x/1 - x/3
    = 3x - x/ 3
    = 2x/3
    Remainder of the profit= 2x /3
    Adamu = 2/3 of 2x/3
    = 2/3 X 2x/3
    Adamu receives 4x/9
    Total profit = x/3 + 4x/9 +12000=x
    12000= x/1 - x/3 - 4x/ 9
    12000= 9x-3x-4x / 9
    12000= 2x/9
    Cross multiply
    12000 X 9 = 2x
    108,000= 2x
    Divide both sides by 2
    2x/2 = 108,000/2
    X= 54,000

    1. Daniel

      Pls remember that adamu did not receive 2/3 of the profit he received 2/3 of the remainder ,i.e when uche took 1/3 ,the remainder was 1-1/3 ,which is 2/3 so Adamu got 2/3 of 2/3 which is 4/9 and then Ope got 1-(1/3 +4/9) ,pls use this to solve and check it out