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Question

The cost price of an article is Rs. 2800. Profit as a percentage of selling price is 20 percent. What is the actual profit (in Rs.) ?

This question was previously asked in
SSC CGL 2020 (Tier-2) Statistics Previous Year Paper 3 (28-Jan-2022)
The correct answer is

Rs. 700

Given:

Cost price is 2800 rupees

Profit as a percentage of selling price is 20%

Used formula:

Profit = (Selling Price - Cost Price)

Profit% according to Selling Price = (Profit/Selling Price) × 100

Where, S.P. = Selling Price, C.P. = Cost Price

Calculation:

Here, Cost price = 2800 rupees, Selling price as P% = 20

As per the question,

Profit as a percentage of Selling Price = (Profit/Selling Price) × 100

⇒ 20 = ( Profit/ Selling Price) × 100

⇒ 20 = ( Selling Price - 2800)/Selling Price× 100        [ Profit = Selling Price - Cost Price]

⇒ 20 Selling Price = 100 Selling Price - 280000

⇒280000 = 80 Selling Price

⇒ Selling Price = 3500 rupees

Now,

Actual Profit = (Selling Price - Cost Price) = (3500 - 2800) rupees = 700 rupees

Therefore, the actual profit is 700 rupees.

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Similar Questions

  1. A shopkeeper gains 20% in place of 16% loss if the selling price of an article is increased by Rs. 324. The cost price of the article is:

  2. A table was bought for Rs. 3,000 and sold for Rs. 3,200. Find the gain or loss in terms of money.

  3. By selling a watch for Rs. 2,000, a shopkeeper loses 20%. How much would he gain or lose by selling it for Rs. 3,000?

  4. If the cost of 120 m of cloth is Rs. 9,600, then what will be the cost of 147 m of that cloth? 

  5. The marked price on a book is ₹1,000. In a book fair, it is available for sale with a discount scheme offering two successive discounts of 12% and 8%. What is the final selling price (in ₹) of the book for a customer (rounded off to the nearest integer)?

  6. A shopkeeper sold a pair of headphones for Rs. 5,520 at a gain of 20%. What would have been the gain or loss percent if it had been sold for Rs. 4,370?

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  8. A seller professes to sell his fruits at cost price but still gains \(5\frac{5}{19}\)%. How much does he give for 1 kg?

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  10. Ramlal marks up his goods by 40% and gives a discount of 10%. What is his net profit percentage?


Important Questions from Profit and Loss

  1. Ram bought a chair at 35% discount on its market price, Had Ram got no discount, he would have had to pay ₹245 more. How much did Ram pay for the chair? 

  2. A shopkeeper bought an item for Rs. 4,500 and sold it at a loss of 5%. From this money, he bought another item and sold it at a profit of 10%. What is his overall profit?

  3. A man sells two articles at Rs. 9,180 each. He gains 8% on one article and loses 15% on the other. His overall profit or loss is:

  4. A shopkeeper selling an article for ₹46 loses 8%. In order to gain 6%, what should be the selling price of the article?

  5. Rahul purchased 80 items from the market. 25% items of the total items were defective and the remaining items were sold at 50% profit. What will be the overall profit percentage?

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