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    Question

    Cost price of an article X is Rs. 700 less than that of

    Y. X and Y are marked 60% and 30% above their cost price respectively. X and Y are sold after allowing discounts of Rs. 400 and Rs. 300 respectively. Profit earned by X is Rs. 80 more than that earned by Y. Find the marked price of X.
    A Rs. 2,100 Correct Answer Incorrect Answer
    B Rs. 2,320 Correct Answer Incorrect Answer
    C Rs. 2,080 Correct Answer Incorrect Answer
    D Rs. 2,450 Correct Answer Incorrect Answer
    E Rs. 3,120 Correct Answer Incorrect Answer

    Solution

    Let the cost price of Y be Rs. β€˜a’ Cost price of X = Rs. (a βˆ’ 700) Marked price of X
    = 1.6 Γ— (a βˆ’ 700)
    = Rs. (1.6a βˆ’ 1120) Marked price of Y
    = 1.3 Γ— a
    = Rs. 1.3a Selling price of X
    = 1.6a βˆ’ 1120 βˆ’ 400
    = Rs. (1.6a βˆ’ 1520) Selling price of Y
    = 1.3a βˆ’ 300 Profit earned by X
    = 1.6a βˆ’ 1520 βˆ’ a + 700
    = Rs. (0.6a βˆ’ 820) Profit earned by Y
    = 1.3a βˆ’ 300 βˆ’ a
    = Rs. (0.3a βˆ’ 300) ATQ, 0.6a βˆ’ 820 = 0.3a βˆ’ 300 + 80 Or, 0.6a βˆ’ 820 = 0.3a βˆ’ 220 Or, 0.3a = 600 Or, a = 2000 Marked price of X
    = 1.6 Γ— 2000 βˆ’ 1120
    = 3200 βˆ’ 1120
    = Rs. 2,080

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