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All questions of Data Interpretation for UGC NET Exam

If a product with a cost price of $80 is sold for $120, what is the profit percentage?
  • a)
    30%
  • b)
    50%
  • c)
    40%
  • d)
    60%
Correct answer is option 'B'. Can you explain this answer?

Calculation of Profit Percentage:
Profit can be calculated by subtracting the cost price from the selling price. In this case, the cost price is $80 and the selling price is $120. Therefore, the profit is:
Selling Price - Cost Price = $120 - $80 = $40

Profit Percentage Formula:
Profit percentage is calculated using the following formula:
Profit Percentage = (Profit / Cost Price) * 100

Substitute Values:
Substitute the values of profit ($40) and cost price ($80) into the formula to find the profit percentage:
Profit Percentage = ($40 / $80) * 100 = 0.5 * 100 = 50%
Therefore, the profit percentage for selling a product with a cost price of $80 at $120 is 50%. This means that the seller made a profit of 50% on the cost price of the product.

If a product with a cost price of $50 is sold at a 20% profit, what is the selling price?
  • a)
    $60
  • b)
    $55
  • c)
    $45
  • d)
    $40
Correct answer is option 'A'. Can you explain this answer?

Profit Percentage = 20%. Profit = 20% of $50 = 0.2 * $50 = $10. Selling Price = Cost Price + Profit = $50 + $10 = $60. Therefore, the selling price is $60.

Calculate the average of the following set of numbers: 12, 15, 18, 21, 24.
  • a)
    19
  • b)
    18
  • c)
    20
  • d)
    21
Correct answer is option 'B'. Can you explain this answer?

Diya Narayan answered
Understanding the Average
The average, also known as the mean, is calculated by summing all the numbers in a set and then dividing by the count of those numbers. Let's break down the calculation for the provided set of numbers: 12, 15, 18, 21, and 24.
Step 1: Sum the Numbers
- Start by adding all the numbers together:
- 12 + 15 + 18 + 21 + 24
Step 2: Perform the Addition
- Calculate the sum:
- 12 + 15 = 27
- 27 + 18 = 45
- 45 + 21 = 66
- 66 + 24 = 90
- Therefore, the total sum is 90.
Step 3: Count the Numbers
- Next, count how many numbers are in the set:
- There are 5 numbers: 12, 15, 18, 21, and 24.
Step 4: Calculate the Average
- Finally, divide the sum by the count:
- Average = Total Sum / Count
- Average = 90 / 5
Final Calculation
- 90 divided by 5 equals 18.
Conclusion
- The average of the set of numbers 12, 15, 18, 21, and 24 is 18.
Thus, the correct answer is option 'B'.

What is the purpose of using ratios in data interpretation?
  • a)
    To calculate averages
  • b)
    To compare two quantities
  • c)
    To find discounts
  • d)
    To determine percentages
Correct answer is option 'B'. Can you explain this answer?

Ratios are used in data interpretation to compare two quantities by division, indicating how many times one value contains or is contained within another. They are particularly useful for comparing the relative sizes or proportions of different variables or parts within a dataset.

How is percentage useful in data interpretation?
  • a)
    To find the highest value in a dataset
  • b)
    To compare different categories within a dataset
  • c)
    To calculate the mode of a dataset
  • d)
    To determine the central tendency of data
Correct answer is option 'B'. Can you explain this answer?

Percentage is useful in data interpretation to compare different categories within a dataset. It provides a standardized way to express proportions, facilitating comparisons between different values or parts of a whole.

If the marked price of an item is $200 and it is sold for $160, what is the discount percentage?
  • a)
    10%
  • b)
    15%
  • c)
    20%
  • d)
    25%
Correct answer is option 'C'. Can you explain this answer?

Academia Elite answered
Discount = Marked Price - Selling Price = $200 - $160 = $40. Discount Percentage = (Discount / Marked Price) * 100% = (40 / 200) * 100% = 20%. Therefore, the discount percentage is 20%.

If the average weight of 5 students is 60 kg, and the average weight of 3 additional students is 70 kg, what is the new average weight of all 8 students? 
  • a)
    64 kg
  • b)
    65 kg
  • c)
    67 kg
  • d)
    : 66 kg
Correct answer is option 'A'. Can you explain this answer?

Academia Elite answered
Total weight of 5 students = 5 * 60 = 300 kg. Total weight of 3 additional students = 3 * 70 = 210 kg. Total weight of all 8 students = 300 + 210 = 510 kg. New average weight = Total weight / Total number of students = 510 / 8 = 64 kg. Therefore, the new average weight of all 8 students is 64 kg.

If the marked price of a product is $500 and it is sold for $400, what is the discount percentage?
  • a)
    10%
  • b)
    15%
  • c)
    20%
  • d)
    25%
Correct answer is option 'C'. Can you explain this answer?

Discount = Marked Price - Selling Price = $500 - $400 = $100. Discount Percentage = (Discount / Marked Price) * 100% = (100 / 500) * 100% = 20%. Therefore, the discount percentage is 20%.

What does a discount represent in a transaction?
  • a)
    Increased selling price
  • b)
    Reduced cost price
  • c)
    Decreased selling price
  • d)
    Increased profit margin
Correct answer is option 'C'. Can you explain this answer?

Academia Elite answered
A discount in a transaction represents a reduced selling price of an article compared to its marked price. It is offered to customers as an incentive to purchase, often reflecting a percentage decrease from the original retail price.

When does a person incur a loss while selling an article?
  • a)
    When selling price equals cost price
  • b)
    When selling price is less than cost price
  • c)
    When selling price is greater than cost price
  • d)
    When selling price includes a discount
Correct answer is option 'B'. Can you explain this answer?

A person incurs a loss while selling an article when the selling price is less than the cost price. This results in a financial deficit as the revenue generated from the sale is insufficient to cover the original cost of the article.

In data interpretation, what does the average help determine?
  • a)
    Highest value
  • b)
    Lowest value
  • c)
    Central value
  • d)
    Most frequent value
Correct answer is option 'C'. Can you explain this answer?

Academia Elite answered
The average, or arithmetic mean, helps determine the central value of a dataset. It summarizes the general trend or significance of the data by providing a typical value around which the data points are distributed.

What is the primary purpose of using percentage in data interpretation?
  • a)
    To compare different quantities
  • b)
    To calculate averages
  • c)
    To determine ratios
  • d)
    To find discounts
Correct answer is option 'A'. Can you explain this answer?

Academia Elite answered
Percentage is primarily used in data interpretation to compare different quantities or parts of a whole. It helps in understanding proportions and making relative comparisons between different values or categories within a dataset.

What does a ratio compare in data interpretation?
  • a)
    Absolute quantities
  • b)
    Proportional quantities
  • c)
    Relative quantities
  • d)
    Equal quantities
Correct answer is option 'C'. Can you explain this answer?

A ratio compares relative quantities in data interpretation. It shows the proportional relationship between two quantities, indicating how many times one quantity is contained within another.

In the context of trade and business, what does profit represent?
  • a)
    Selling price minus cost price
  • b)
    Cost price minus selling price
  • c)
    Marked price minus selling price
  • d)
    Selling price minus discount price
Correct answer is option 'A'. Can you explain this answer?

Academia Elite answered
Profit in trade and business refers to the amount earned when an article is sold at a price higher than its cost price. It is calculated as the selling price minus the cost price, reflecting the financial gain from a transaction.

A company sold a product for $400 which was bought at $320. What is the profit percentage earned? 
  • a)
    20%
  • b)
    35%
  • c)
    25%
  • d)
    30%
Correct answer is option 'C'. Can you explain this answer?

Profit = Selling Price - Cost Price = $400 - $320 = $80. Profit Percentage = (Profit / Cost Price) * 100% = (80 / 320) * 100% = 25%. Therefore, the profit percentage earned is 25%.

If the ratio of boys to girls in a class of 40 students is 3:2, how many boys are there?
  • a)
    18
  • b)
    20
  • c)
    24
  • d)
    30
Correct answer is option 'C'. Can you explain this answer?

Academia Elite answered
Let the number of boys be 3x and the number of girls be 2x. Total students = 3x + 2x = 5x. Given that 5x = 40, solving for x gives x = 8. Therefore, number of boys = 3x = 3 * 8 = 24.

What concept is related to selling an article at a price lower than its marked price?
  • a)
    Profit
  • b)
    Loss
  • c)
    Discount
  • d)
    Revenue
Correct answer is option 'C'. Can you explain this answer?

Selling an article at a price lower than its marked price is referred to as giving a discount. This practice is common in retail and marketing to attract customers by offering reduced prices from the originally stated or advertised price.

Mathematical Calculation Questions:

What does the average represent in a set of data?
  • a)
    The highest value
  • b)
    The most frequent value
  • c)
    The central value
  • d)
    The lowest value
Correct answer is option 'C'. Can you explain this answer?

The average, also known as the arithmetic mean, represents the central value of a set of data. It is calculated by dividing the sum of all values by the number of values in the dataset, providing an understanding of the general significance or trend of the data.

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