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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. A girl purchases 9 mangoes for Rs. 90 and sells 10 mangoes for Rs. 95. Find the gain or loss percentage.

  6. A dishonest dealer professes to sell his goods at cost price but uses a false weight and thus gains 15%. For a kilogram, he uses a weight of _________ (rounded off to one digit after decimal).

  7. 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?

  8. A man sells two cows for Rs.15,640 each, gaining 15% on one and losing 15% on the other. Find his total gain or loss.

  9. Ramesh purchases a table and a chair for Rs. 3,900. He sells the table at a profit of 8% and the chair at a profit of 16%. He earns a profit of Rs. 540. What is the difference between the original price of the table and the chair?
  10. An article costs Rs. 4,000 to a shopkeeper, who marks its price at Rs. 8,400. The shopkeeper sells it to a customer at a discount of 25%. The customer gets a further discount of 15% on the discounted price if the customer redeems a coupon issued by the store previously. What is the profit percentage (to the nearest integer) earned by the shopkeeper in this transaction?


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. A man sells a car to his friend at the loss of 10 %; who in return sells it for Rs. 54000 making a profit of 20 %. What was the initial value of the car?

  3. An article was sold at a loss of 24%. If it were sold for Rs. 1,596 more, then there would have been a gain of 18%, The cost price of the article is:

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

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

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