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    A trader lists a shirt for ₹2,000 and gives a 10% discount to a buyer. Despite the discount, he still gains a profit of 20%. The shirt's cost price
    Question

    A trader lists a shirt for ₹2,000 and gives a 10% discount to a buyer. Despite the discount, he still gains a profit of 20%. The shirt's cost price

    A.

    ₹ 1,500

    B.

    ₹1,600

    C.

    ₹1,400

    D.

    ₹1,300

    Correct option is A

    Given:
    Marked Price (MP) = ₹2000
    Discount = 10%
    Profit = 20%
    Formula Used:
    Selling Price = MP × (1 - Discount%100\frac{Discount\%}{100}​)
    Cost Price = Selling Price1+Profit%100 \frac{Selling\ Price}{1 + \frac{Profit\%}{100}}​​
    Solution:
    Calculate the Selling Price after the discount.
    Selling Price = 2000 × (110100)(1 - \frac{10}{100})​​
     = 2000 × 0.90 = 1800
    Now calculate the Cost Price based on the profit gained.
    Cost Price = 18001+20100 \frac{1800}{1 + \frac{20}{100}}​​
    =18001.20 = \frac{1800}{1.20}​​

    =1800012=1500 = \frac{18000}{12} = 1500​​
    Final Answer
    So the correct answer is (a)

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