A man sells apples, bananas and oranges at 20%, 25% and 30% profit, respectively. If the ratio of the cost of the fruits is 2 : 3 : 5,
and the fruits are sold in the ratio 5 : 4 : 2. then his profit percentage is:
This questions was previously asked in
SSC MTS 22nd October 2021 Shift-2
18%Incorrect Answer
30%Incorrect Answer
20%Incorrect Answer
25%Correct Answer
Explanation:
- The cost ratio of apples, bananas, and oranges is 2:3:5.
- Their selling price profit percentages are 20%, 25%, and 30%, respectively.
- The selling ratio of the apples, bananas, and oranges is 5:4:2.
To calculate the overall profit percentage:
1. Calculate weighted cost based on cost ratio: \(2x, 3x, 5x\).
2. With profit percentages, selling costs are \(1.2 \times 2x = 2.4x\), \(1.25 \times 3x = 3.75x\), \(1.3 \times 5x = 6.5x\).
3. Weighted selling based on selling ratio: \(5 \times 2.4x, 4 \times 3.75x, 2 \times 6.5x\).
4. Calculate profit: selling total - cost total; simplify using common \(x\).
5. Overall profit percentage is approximately 25%.
- The correct option is Option: 4 - 25%.
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By: santosh