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    The profit earned on selling an article for Rs. 4550 is 5 times of the loss incurred on selling the same article for Rs. 3290. What will be the sellin
    Question

    The profit earned on selling an article for Rs. 4550 is 5 times of the loss incurred on selling the same article for Rs. 3290. What will be the selling price of the article to earn a profit of 20 percent?

    A.

    Rs. 3900

    B.

    Rs. 4200

    C.

    Rs. 4000

    D.

    Rs. 4500

    Correct option is B

    Given:
    Selling price 1 = Rs. 4550
    Selling price 2 = Rs. 3290
    Profit = 5 ×Loss

    Formula Used:
    Profit = Selling Price- Cost Price
    Loss =Cost Price -Selling Price
    Solution:

    Let the cost price be C.
    Profit = 4550 - C
    Loss = C - 3290
    Profit = 5 ×Loss
    4550 - C = 5 × (C - 3290)
    4550 - C = 5C - 16450
    4550 + 16450 = 6C
    21000 = 6C
    C = 3500
    Selling price for 20% profit = 1.2 ×3500 = 4200
    Thus, the selling price is Rs. 4200.

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