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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. 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.
  2. Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

    Statements:
    Some canals are rivers.
    Some rivers are oceans.
    Some oceans are ponds.

    Conclusions:
    (I) All ponds are rivers.
    (II) All oceans are canals.
  3. Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

    Statements:
    All bananas are apples.
    All apples are grapes.
    Some grapes are oranges.

    Conclusions:
    (I) All grapes are bananas.
    (II) All oranges are apples.
  4. Take the given statements to be true even if they seem to be at variance with commonly known facts. Then decide which of the given conclusions logically follow the given statements. 

    Statements : 

    0% chairs are tables. 

    All computers are chairs. 

    Some books are tables. 

    Conclusions : 

    I. Not a single table is a computer. 

    II. Some books are not chairs.

  5. Statements: 

    All herbivores are carnivores.

     Some carnivores are omnivores. 

    Conclusions:

     i) Some herbivores are omnivores.

     ii) Some carnivores are herbivores.

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