📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    Question

    Cost price of an article A is Rs. 400 less than that of

    B. A and B are marked 40% and 20% above their cost price respectively. A and B are sold after allowing discounts of Rs. 200 and Rs. 100 respectively. Profit earned by A is Rs. 100 more than that earned by B. Find the marked price of A.
    A Rs. 1,960 Correct Answer Incorrect Answer
    B Rs. 1,800 Correct Answer Incorrect Answer
    C Rs. 2,000 Correct Answer Incorrect Answer
    D Rs. 2,100 Correct Answer Incorrect Answer
    E Rs. 1,900 Correct Answer Incorrect Answer

    Solution

    Let the cost price of B be Rs. ‘a’ Cost price of A = Rs. (a − 400) Marked price of A = 1.4 × (a − 400) = Rs. (1.4a − 560) Marked price of B = 1.2 × a = Rs. 1.2a Selling price of A = 1.4a − 560 − 200 = Rs. (1.4a − 760) Selling price of B = 1.2a − 100 Profit earned by A
    = 1.4a − 760 − a + 400
    = Rs. (0.4a − 360) Profit earned by B
    = 1.2a − 100 − a
    = Rs. (0.2a − 100) ATQ, 0.4a − 360 = 0.2a − 100 + 100 Or, 0.4a − 360 = 0.2a Or, 0.2a = 360 Or, a = 1800 Marked price of A
    = 1.4 × 1800 − 560
    = 2520 − 560
    = Rs. 1,960

    Practice Next
    More Profit and loss Questions

    Relevant for Exams:

    ask-question