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    Question

    The marked price of an article in two different shops P

    and Q is Rs 1200 and Rs X respectively. In shop P the article is available at two successive discounts of d% and 25%, while in shop Q the article is available at two successive discounts of 10% and 20%. If the ratio of the selling price of an article at shop Q to the selling price of an article at shop P is X:800, then find which of the following statements is/are true. (I) d2 is completely divisible by 24 (II) d is a multiple of both 12 and 3 (III) d% of 750 is equals to 270
    A All I, II and III Correct Answer Incorrect Answer
    B Only I and III Correct Answer Incorrect Answer
    C Only III Correct Answer Incorrect Answer
    D Only II Correct Answer Incorrect Answer
    E Only I and II Correct Answer Incorrect Answer

    Solution

    Given, Selling price of the article at shop P = 1200 ├Ч(100-d)/100┬а ├Ч 75/100. Selling price of the article at shop Q = X ├Ч90/100┬а ├Ч 80/100 ATQ тАУ┬а (X ├Ч(90/100) ├Ч(80/100))/(1200 ├Ч(100-d)/100 ├Ч(75/100))= X/800 d = 36 From (I)┬а d2= 362 = 1296 1296 is completely divisible by 24. From (II) d= 36 36 is multiple of both 12 and 3 From (II)┬а d=36 (36/100)├Ч750=270

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