A company manager spent 1/3 of his money on salaries of 1/4 of the remainder on maintenance of his company`s vehicles and the rest

A company manager spent 1/3 of his money on salaries of 1/4 of the remainder on maintenance of his company`s vehicles and the rest 50,000niara was his profit. how much was his total money

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  1. Given : A company manager spent 1/3 of his money on salaries of 1/4 of the remainder on maintenance of his company`s vehicles and the rest 50,000 niara was his profit .

    To Find : How much was his total money ?

    Answer :

    Let us assume that, the total money of company manager was x niara .

    so,

    → Spent on salaries = (1/3) of x = (x/3) niara .

    then,

    → Left money = x – (x/3) = (2x/3) niara .

    now,

    → spent on maintenance of his company`s vehicles = (1/4) of remaining = (1/4) of (2x/3) = (x/6) naira .

    then,

    → Left money = (2x/3) – (x/6) = (4x – x)/6 = (3x/6) = (x/2) naira .

    therefore,

    → (x/2) = 50000

    → x = 50000 * 2

    → x = 1,00,000 naira (Ans.)

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