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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. If an article is sold for Rs. 355, there is a loss of 29%. At what price (in Rs.) should it be sold to gain 31% of profit?

  2. The selling prices of articles A and B are the same. A is sold at a profit of 28 percent and B is sold at a loss of 24 percent. If the total selling price of the both articles is Rs. 48640, then what is the cost price of A and B, respectively ?

  3. By selling an article for Rs. 640, a person loses 15% of its selling price. At what price (in Rs.) should he sell it to gain 15% on its cost price?

  4. On selling a painting at Rs. 1,498 , the gain is 25% more than the loss incurred on selling it at Rs.1,300. In order to gain 25%, the selling price will be:

  5. Mohit purchased a table for Rs. 1,260 and due to some scratches on its top, he sold it for Rs. 1,197. What is his loss percent?

  6. A person marks an article 36% above the cost price and offers 30% discount on the marked price. What is the loss or gain percentage?

  7. A shopkeeper bought 20 kg of rice at Rs. 55 per kg, 25 kg of rice at Rs. 50 per kg and 35 kg of rice at Rs. 60 per kg. He spent a sum of Rs. 150 on transportation. H mixed all the three types of rice and sold all the stock at Rs. 62.56 kg. His profit percent in the entire transaction is:

  8. A trader buys 500 kg of cotton for Rs 9,000. 10% of this cotton is spoiled due to rain. At what rate (Rs/Kg) should he sell the rest to earn 10% profit?

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  10. A sold a watch to B at a profit of 20%. B sold it to C at 30% profit. C sold it to D at 10% loss. If B's profit is Rs. 80 more than that of A, then D bought it for.


Important Questions from Profit and Loss

  1. Rohit buys 8 pens and 4 pencils for Rs. 2400. He sells pencils at a profit of 20 percent and pens at the loss of 10 percent. If his overall profit is Rs. 240, then what is the sum of the cost price of one pen and one pencil?

  2. The cost price of an article is Rs.6,450. If it sold at a profit 16%, how much would be its selling price?

  3. If the selling price of 7 articles is equal to the cost price of 6 articles, then what is the percentage loss?

  4. An article when sold at a gain of 5%, yields Rs. 15 more than when sold at a loss of 5%. The cost price will be

  5. What will be cost price of an item which when sold at the profit of 5% and at the loss of 5% the difference of selling prices be Rs. 60?

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