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Books and More Profit Analysis

XAT 2010 · Quantitative Ability & Data Interpretation · Medium · Quantitative Ability

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Passage / data set

Books and More sells books, music CDs and film DVDs. In December 2009, they earned 40% profit in music CDs and 25% profit in books. Music CDs contributed 35% towards their total sales in rupees. At the same time total sales in rupees from books is 50% more than that of music CDs.

Question 1 of 2

If Books and More have earned 20% profit overall, then in film DVDs they made

  1. A.

    15.2% profit

  2. B.

    10.0% profit

  3. C.

    10.0% loss

  4. D.

    16.3% loss

  5. E.

    23.4% loss

Answer

E

Explanation

Let Total SP = 100x. SP(Music) = 35x, SP(Books) = 1.5 * 35x = 52.5x, SP(DVDs) = 100x - 35x - 52.5x = 12.5x. 40% profit on Music   ⟹  CP(Music)=35x/1.4=25x\implies CP(Music) = 35x / 1.4 = 25x. 25% profit on Books   ⟹  CP(Books)=52.5x/1.25=42x\implies CP(Books) = 52.5x / 1.25 = 42x. Overall 20% profit   ⟹  TotalCP=100x/1.2=83.33x\implies Total CP = 100x / 1.2 = 83.33x. CP(DVDs)=83.33x−25x−42x=16.33xCP(DVDs) = 83.33x - 25x - 42x = 16.33x. Loss on DVDs = 16.33x−12.5x=3.83x16.33x - 12.5x = 3.83x. Loss % on DVDs = 3.8316.33×100≈23.4%\frac{3.83}{16.33} \times 100 \approx 23.4\% loss.

Question 2 of 2

If Books and More made 50% loss in film DVDs, then overall they made

  1. A.

    12.3% profit

  2. B.
    1. 7% profit
  3. C.

    0.4% loss

  4. D.

    6.25% loss

Answer

B

Explanation

SP(DVDs) = 12.5x. 50% loss on DVDs   ⟹  CP(DVDs)=12.5x/0.5=25x\implies CP(DVDs) = 12.5x / 0.5 = 25x. Total CP = 25x (Music)+42x (Books)+25x (DVDs)=92x25x \text{ (Music)} + 42x \text{ (Books)} + 25x \text{ (DVDs)} = 92x. Overall Profit = 100x−92x=8x100x - 92x = 8x. Overall Profit % = 8x92x×100=8.69%≈8.7%\frac{8x}{92x} \times 100 = 8.69\% \approx 8.7\% profit.

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