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    An article is marked at Rs. 950. If it is sold at a discount of 20%, then the selling price becomes 2.5 times of its cost price. What is the cost pric
    Question

    An article is marked at Rs. 950. If it is sold at a discount of 20%, then the selling price becomes 2.5 times of its cost price. What is the cost price?

    A.

    Rs. 318

    B.

    Rs. 304

    C.

    Rs. 312

    D.

    Rs. 299

    Correct option is B

    Given:

    Marked price of the article = Rs. 950

    Discount = 20%

    The selling price becomes 2.5 times the cost price.

    Formula Used:

    Selling price after discount = Marked Price × (1Discount%100)\left(1 - \frac{\text{Discount\%}}{100}\right)​​

    Solution:

    Selling Price = 950×(120100) 950 \times \left( 1 - \frac{20}{100} \right)​​

    = 950 × 0.8 = 760 

    Now, 

    760 = 2.5 × Cost Price

    Cost Price = 950×(120100) 950 \times \left( 1 - \frac{20}{100} \right)​ = 304

    Thus, The cost price of the article is Rs. 304

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