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DIRECTIONS for the question: Solve the following question and write the answer (in numerical value).
A person gives 40% discount and still makes a profit of 20%. If he gives a discount of 25% only, what is his profit percentage?
    Correct answer is '50'. Can you explain this answer?
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    DIRECTIONSfor the question:Solve the following question and write the ...
    ►Suppose MP = 100. Then SP = 60 and he makes a profit of 20%. So, CP = 50..
    ►After giving a discount of 25%, SP = 75.
    ►So the profit earned will be 75 – 50 = 25, which is 50% of CP.
    Alternate solution: Suppose CP = 100 so that SP = 120.
    This SP is 60% of the marked price.
    This means MP = 200. If he gives a discount of 25%, then SP = 150, which leads to a 50% profit on the CP of 100.
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    DIRECTIONSfor the question:Solve the following question and write the ...
    Given:
    - A person gives a discount of 40% and still makes a profit of 20%.

    To find:
    - If the person gives a discount of 25% only, what is his profit percentage?

    Assumptions:
    - The cost price of the product is Rs. 100 for easy calculations.
    - The selling price after a 40% discount and 20% profit is Rs. 144.

    Step 1: Find the Selling Price after a 40% discount and 20% profit:
    - Let the cost price be Rs. 100.
    - The person gives a discount of 40%, so the selling price becomes 60% of the cost price.
    - The selling price after the discount is Rs. 60.
    - The person still makes a profit of 20%. So, the selling price after the profit is 120% of the cost price.
    - Let the selling price after the profit be Rs. X.
    - Therefore, 120% of the cost price (Rs. 100) is equal to X.
    - 120/100 * 100 = X
    - X = Rs. 120.
    - So, the selling price after a 40% discount and 20% profit is Rs. 120.

    Step 2: Find the Selling Price after a 25% discount:
    - Let the cost price be Rs. 100.
    - The person gives a discount of 25%, so the selling price becomes 75% of the cost price.
    - The selling price after the 25% discount is Rs. 75.

    Step 3: Find the Profit Percentage after a 25% discount:
    - Profit is calculated as the difference between the selling price and the cost price.
    - Profit = Selling Price - Cost Price
    - Let the selling price after a 25% discount be Rs. 75 and the cost price be Rs. 100.
    - Profit = Rs. 75 - Rs. 100
    - Profit = -Rs. 25 (Negative profit indicates a loss)

    Step 4: Find the Profit Percentage:
    - Profit Percentage is calculated as (Profit/Cost Price) * 100.
    - Let the profit be -Rs. 25 and the cost price be Rs. 100.
    - Profit Percentage = (-25/100) * 100
    - Profit Percentage = -25%
    - However, profit percentage cannot be negative. So, we take the absolute value of the profit percentage.
    - Absolute Profit Percentage = |-25%| = 25%
    - Therefore, the profit percentage after a 25% discount is 25%.

    Conclusion:
    - The profit percentage after a 25% discount is 25%.
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    DIRECTIONSfor the question:Solve the following question and write the answer (in numerical value).A person gives 40% discount and still makes a profit of 20%. If he gives a discount of 25% only, what is his profit percentage?Correct answer is '50'. Can you explain this answer?
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