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Question

Difficulty: EasyRatio, Proportion, and Rate

Three business partners share a total profit of ₦60,000 in the ratio 1:2:31 : 2 : 3. What is the share of the partner who receives the largest portion, in naira?

Answer: 30000 naira

Answer

The share of the partner receiving the largest portion is ₦30,000.
Sum the parts of the ratio (1+2+3=61 + 2 + 3 = 6). The largest share corresponds to 3 parts out of 6. Calculating 36×60,000\frac{3}{6} \times 60,000 yields 30,000 naira.

Step-by-Step Solution

1
Calculate the sum of all ratio parts
1 + 2 + 3 = 6 parts
The total amount is divided into equal parts represented by the sum of the ratio numbers.
2
Determine the monetary value of a single part
₦60,000 / 6 = ₦10,000 per part
Dividing the total sum by the total number of parts gives the value of one unit part.
3
Calculate the largest share corresponding to 3 parts
3 × ₦10,000 = ₦30,000
The largest portion of the ratio is 3 parts.

Key Concept

Direct Ratio Sharing
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Topics

Ratio, Proportion, and Rate

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