A father decided to give 20% of his monthly income to his three children as their monthly allowance. The eldest child got 45% of the allowance and the youngest got 25%. How much was the father's monthly income if the second child got ₦ 3,000?
A
₦33,000
B
₦45,000
C
₦50,000
D
₦60,000
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
To find the father's monthly income, we follow these steps:
Let \( I \) = Father's monthly income, \( A \) = Total allowance.
The total allowance is given by:
\(A = 0.2 I\)
The second child receives 30% of the allowance:
\(0.3 A = 3000\)
Solving for \( A \):
\(A = \frac{3000}{0.3} = 10000\)
Father's Income:
Now, substituting \( A \) into the equation for income:
\(0.2 I = 10000 \implies I = \frac{10000}{0.2} = 50000\)
The father's monthly income is: ₦50,000
Source: Myschool Past Questions Archive (Record #72273)