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    Question

    The cost price of two laptops 'L' and 'K' is Rs. 35,000 and Rs. 45,000 respectively. The shopkeeper marked up the prices of laptop 'L' and 'K' by 35% and 65% respectively. Laptop 'L' is sold after allowing a discount of 18% while laptop 'K' is sold at a profit of 22%.

    Which of the following statement(s) is/are false according to the given data?

    (I) Selling price of laptop 'L' is Rs. 33,320.

    (II) Discount offered on buying laptop 'K' is 22%.

    (III) Profit earned on selling laptop 'K' is more than that on selling laptop 'L'.

    A Both I and III Correct Answer Incorrect Answer
    B Only I Correct Answer Incorrect Answer
    C Only III Correct Answer Incorrect Answer
    D Both I and II Correct Answer Incorrect Answer
    E All of I, II and III Correct Answer Incorrect Answer

    Solution

    ATQ, Marked price of laptop 'L' = 135% of 35,000 = (1.35) x 35,000 = Rs. 47,250 Selling price of laptop 'L' = 82% of 47,250 = (0.82) x 47,250 = Rs. 38,745 Profit earned on laptop 'L' = Rs. 38,745 - Rs. 35,000 = Rs. 3,745 Marked price of laptop 'K' = 165% of 45,000 = (1.65) x 45,000 = Rs. 74,250 Selling price of laptop 'K' = 122% of 45,000 = (1.22) x 45,000 = Rs. 54,900 Discount offered on laptop 'K' = (19,350/74,250) x 100 = 26.05% Statement (I) is false (the selling price of laptop 'L' is Rs. 38,745, not Rs. 33,320). Statement (II) is false (the discount on laptop 'K' is 26.05%, not 22%). Statement (III) is true (Rs. 9,900 profit on laptop 'K' is more than Rs. 3,745 on laptop 'L').

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