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Question

Directions: Study the following Bar-chart and the data provided to answer the questions that follow: Sales of 3-different companies selling T-Shirts for the years from 2006 to 2009 are given. How much percentage of sales decreased for Brand X T-shirt in 2009 compared with 2007?

The correct answer is
25.23%

To determine the percentage decrease in sales for Brand X T-shirts from 2007 to 2009, use the formula for percentage decrease:

\[\text{Percentage Decrease} = \left(\frac{\text{Old Value} - \text{New Value}}{\text{Old Value}}\right) \times 100\]
  1. Identify the sales figures for Brand X in the years 2007 and 2009 from the provided bar chart:
    • Sales in 2007: 1070 units
    • Sales in 2009: 800 units
  2. Substitute these values into the formula:
\[\text{Percentage Decrease} = \left(\frac{1070 - 800}{1070}\right) \times 100\]
  1. Calculate the difference:
    • Difference = 1070 - 800 = 270 units
  2. Substitute the difference back into the formula:
\[\text{Percentage Decrease} = \left(\frac{270}{1070}\right) \times 100\]
  1. Perform the division and multiplication:
\[\text{Percentage Decrease} = \left(0.2523\right) \times 100 = 25.23\%\]

Thus, the percentage decrease in sales for Brand X T-shirts from 2007 to 2009 is 25.23%.

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Important Questions from Syllogism (Notes)

  1. Which conclusion would follow the given statements.


    Statement:
    Some Apples are Banana.
    Some bananas are Grapes.
    No Grape is Book.


    Conclusion:
    (I) Some Apples are Book is a possibility.
    (II) All Bananas are Book.
    In light of the above statements, choose the most appropriate answer from the options given below.

  2. Disregard commonly known facts. Which conclusion would follow on the basis of given statements only.
    Statement: Some bottles are car. some cars are cycle.
    Conclusion:
    (I) Some bottles are cycle is a possibility
    (II) All bottles are cycle
    In light of the above statements, choose the most appropriate answer from the options given below.
  3. Statements :
    All books are cakes.
    All cakes are apples.
    Conclusions:
    I. Some cakes are books
    II. No cake is books
    III. Some apple are books
    IV. All apples are books
    Choose the correct option:
  4. All household pets are domestic animals. NO unicorns are domestic animals. Therefore some Unicorns are not household pets. Which type of formal fallacy committed in the above argument ?
  5. Statements:
    Some bags are purses. All purses are containers all containers are suitcases.
    Conclusions :
    I. Some suitcases are bags
    II. All purses are bags
    III. All Purses are suitcases
    (IV) Some containers are purses
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