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Loss Quiz - CBSE Class 6 Mathematics

Free practice quiz: Loss (CBSE Class 6 Mathematics). 13 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This CBSE Class 6 Mathematics practice quiz has 13 multiple-choice questions on Loss, and 13 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

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What Loss Means

  • Cost Price (CP) is what you pay to buy an item. Selling Price (SP) is what you get when you sell it.
  • If SP is less than CP, you make a loss. The loss is the money you lose.
Loss amount
\[\text{Loss} = \text{CP} - \text{SP}\]
Condition for loss
\[\text{SP} < \text{CP}\]

Common mistake: Subtracting CP from SP instead of SP from CP, which gives a negative loss.

Finding the Loss Percentage

  • Loss percentage shows the loss as a part of every 100 of the cost price.
  • Always divide the loss by the cost price, never by the selling price.
Loss percent
\[\text{Loss}\,\% = \frac{\text{Loss}}{\text{CP}} \times 100\]

Common mistake: Dividing the loss by the selling price instead of the cost price.

Finding SP from CP

  • When you know CP and the loss percent, first find the loss as a percent of CP.
  • Then take this loss away from CP to get SP.
Loss from loss percent
\[\text{Loss} = \frac{\text{Loss}\,\% \times \text{CP}}{100}\]
Selling price
\[\text{SP} = \text{CP} \times \frac{100 - \text{Loss}\,\%}{100}\]

Common mistake: Adding the loss to CP instead of subtracting it, which gives an SP bigger than CP.

Finding CP from SP

  • If CP is taken as 100, then SP is 100 minus the loss percent.
  • Use this link to work back from SP to the original CP.
Cost price
\[\text{CP} = \frac{\text{SP} \times 100}{100 - \text{Loss}\,\%}\]

Common mistake: Finding the loss percent of SP and adding it to SP. The loss percent is always on CP, not SP.

Exam tips

Beta: made with AI and checked by a second AI. A teacher has not reviewed it yet.

Sample questions

  1. A pen is sold for $40 after a loss of 20%. What was the cost price of the pen?

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    Answer: B. $50

    If the selling price is $40 and there's a loss of 20%, the formula to calculate cost price is: Cost Price = Selling Price / (1 - Loss Percentage). Thus, Cost Price = 40 / (1 - 0.20) = 40 / 0.80 = $50.

  2. An item was sold at a loss of 25%. If the selling price is $75, what was the cost price?

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    Answer: B. $100

    Using the formula: Cost Price = Selling Price / (1 - Loss Percentage). Here, Cost Price = 75 / (1 - 0.25) = 75 / 0.75 = $100.

  3. A student bought a bike for $540 and sold it for $486. What was the loss percentage?

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    Answer: A. 10%

    Loss = Cost Price - Selling Price = 540 - 486 = $54. Loss Percentage = (Loss / Cost Price) * 100 = (54 / 540) * 100 = 10%.

  4. An electronic gadget is bought for $800 and sold for $680. Calculate the loss percentage.

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    Answer: B. 15%

    Loss = Cost Price - Selling Price = 800 - 680 = $120. Loss Percentage = (Loss / Cost Price) * 100 = (120 / 800) * 100 = 15%.

  5. A dealer bought three dozen eggs for $120 and sold them at a loss of 10%. How much did he sell all the eggs for?

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    Answer: A. $108

    Cost Price of three dozen eggs = $120. Loss = 10% of $120 = $12. Selling Price = Cost Price - Loss = 120 - 12 = $108.

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More questions in this quiz

Answers and explanations are in the full quiz.

  1. A bicycle was bought for $300 and sold for $270. What was the percentage loss?
  2. If a book is sold at a loss of 20% and the selling price is $24, what was the cost price?
  3. A toy is sold for $15 after incurring a loss of 25%. What was the cost price of the toy?
  4. A seller bought a set of chairs for $1200 and sold them at a loss of 15%. What is the selling price?
  5. If a product is sold for $2700 after a 10% loss, what was its original cost price?
  6. A furniture seller sells a table for $480 after a loss of 20%. What was the cost price of the table?
  7. A baker sold a batch of cookies for $200 which was bought for $250. What was the loss percentage?
  8. An artist sells a painting at $400 after a loss of 20%. What was the original cost price of the painting?

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