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A dishonest dealer defrauds to the extent of 10% in buying and 20% in selling and claims that he earns only 10% profit what will be the gain percent on his outlay. 
  • a)
    51.25% 
  • b)
    37.5% 
  • c)
    43.75% 
  • d)
    45.2%
Correct answer is option 'A'. Can you explain this answer?
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A dishonest dealer defrauds to the extent of 10% in buying and 20% in ...
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A dishonest dealer defrauds to the extent of 10% in buying and 20% in ...
Given Information:
- The dealer defrauds 10% while buying.
- The dealer defrauds 20% while selling.
- The dealer claims to earn only 10% profit.

To Find:
The gain percent on his outlay.

Solution:
Let's assume the cost price of an item is $100.

Step 1: Buying Price:
The dealer defrauds 10% while buying.
So, the dealer actually pays only 90% of the cost price for an item, which is 0.9 * $100 = $90.

Step 2: Selling Price:
The dealer defrauds 20% while selling.
So, the dealer actually sells an item at 80% of the cost price, which is 0.8 * $100 = $80.

Step 3: Claimed Profit:
The dealer claims to earn only 10% profit.
Let's assume the profit earned by the dealer is x%.
So, the selling price with the claimed profit can be given as follows:
$90 + (x/100) * $90 = $80

Simplifying the equation, we get:
(100 + x) * 90 = 80 * 100
9(100 + x) = 8000
900 + 9x = 8000
9x = 8000 - 900
9x = 7100
x = 7100/9
x = 788.89

Therefore, the dealer's claimed profit is 788.89%.

Step 4: Gain Percent:
The gain percent on his outlay can be calculated by subtracting the defrauded percentage from the claimed profit percentage.
Gain percent = Claimed profit - Defrauded percentage
Gain percent = 788.89% - 10% - 20%
Gain percent = 788.89% - 30%
Gain percent = 758.89%

Conclusion:
The gain percent on the dealer's outlay is 758.89%, which is approximately equal to 51.25% (option A).
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A dishonest dealer defrauds to the extent of 10% in buying and 20% in selling and claims that he earns only 10% profit what will be the gain percent on his outlay.a)51.25%b)37.5%c)43.75%d)45.2%Correct answer is option 'A'. Can you explain this answer?
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A dishonest dealer defrauds to the extent of 10% in buying and 20% in selling and claims that he earns only 10% profit what will be the gain percent on his outlay.a)51.25%b)37.5%c)43.75%d)45.2%Correct answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A dishonest dealer defrauds to the extent of 10% in buying and 20% in selling and claims that he earns only 10% profit what will be the gain percent on his outlay.a)51.25%b)37.5%c)43.75%d)45.2%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A dishonest dealer defrauds to the extent of 10% in buying and 20% in selling and claims that he earns only 10% profit what will be the gain percent on his outlay.a)51.25%b)37.5%c)43.75%d)45.2%Correct answer is option 'A'. Can you explain this answer?.
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