Test: Comparing Quantities - Class 7 MCQ

To convert 1/4 to a percentage:

• Start with the fraction: 1/4.
• Multiply by 100% to convert to a percentage.
• This calculation gives: 1/4 x 100% = 25%.

The final result is 25%.

To convert the decimal number 0.1 to a percentage, follow these steps:

• Start with the given number: 0.1
• Multiply by 100 to convert the decimal to a percentage:
• 0.1 x 100 = 10
• Add the percentage symbol:
• 10%

Therefore, 0.1 as a percentage is 10%, which corresponds to option B.

To convert the decimal 0.04 to a percentage, follow these steps:

• Multiply the decimal by 100%.
• The calculation is: 0.04 × 100%.
• This results in 4%.

Therefore, 0.04 as a percentage is 4%.

The percentage of boys can be calculated using the formula:

• Percentage of boys = (Number of boys / Total number of children) × 100%
• Substituting the values:
• Percentage of boys = (10 / 40) × 100%
• Calculating this gives:
• Percentage of boys = 25%

Therefore, the percentage of boys is 25%.

Per cent of students that are absent = 5/25 x 100% = 20%

Profit Calculation

To determine the profit made from the sale of the article, follow these steps:

• Identify the cost price: ₹ 100
• Identify the selling price: ₹ 120
• Calculate the profit using the formula: Profit = Selling Price - Cost Price
• Substituting the values: Profit = ₹ 120 - ₹ 100 = ₹ 20

The total profit is ₹ 20.

To calculate the loss:

• The watch was purchased for ₹ 316.
• It was sold for ₹ 300.
• To find the loss, subtract the selling price from the purchase price:
• Loss = ₹ 316 – ₹ 300 = ₹ 16.

To find the loss percentage:

• Cost Price (CP) = ₹500
• Selling Price (SP) = ₹400
• Loss = CP - SP = 500 - 400 = ₹100
• Loss Percentage = (Loss / CP) × 100% = (100 / 500) × 100% = 20%

Thus, the loss percentage is 20%, which corresponds to option B.

To calculate the gain percentage, you can use the following formula:

Gain percentage = [(Selling Price - Cost Price) / Cost Price] × 100%

Let's break down the calculation step by step:

• Given:
  • Selling Price = 1000
  • Cost Price = 800
• Substituting the values into the formula:
• Gain percentage = (1000 - 800) / 800 × 100%
• Calculating the difference:
• 1000 - 800 = 200
• Now, substitute this back into the equation:
• Gain percentage = (200 / 800) × 100%
• Now divide 200 by 800:
• 200 / 800 = 0.25
• Finally, multiply by 100%:
• 0.25 × 100% = 25%

Therefore, the gain percentage is 25%.

The interest can be calculated using the simple interest formula:

Interest = (Principal × Time × Rate) / 100

Here, the values are as follows:

• Principal = ₹2500
• Time = 4 years
• Rate = 4%

Substituting these values into the formula gives:

Interest = (2500 × 4 × 4) / 100

Calculating this results in:

Interest = ₹400