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Question

A shopkeeper sells a refrigerators for Rs 22,000 and makes a profit of 10%. If he desires to make a profit of 18%, what should be his selling price?

This question was previously asked in
UGC NET 2019 Paper 1 Question Paper (5-Dec-2019) (Shift 2)
The correct answer is

Rs 23,600

To solve this problem, we need to find the new selling price that would give the shopkeeper an 18% profit, given he currently sells the refrigerator for Rs 22,000 and makes a 10% profit.

First, let's understand the components:

  1. Cost Price (CP): This is the actual price at which the shopkeeper bought the refrigerator. We need this to determine the new selling price (SP) for the desired profit percentage.

Let's find the Cost Price using the initial selling scenario:

  1. Initial Selling Price (SP1) = Rs 22,000
  2. Profit Percentage (P1) = 10%

Using the formula for profit, which is:

\(SP_1 = CP \times \left(1 + \frac{P_1}{100}\right)\)

Substituting the known values:

\(22,000 = CP \times \left(1 + \frac{10}{100}\right)\)

Simplify to find CP:

  • \(22,000 = CP \times 1.1\)
  • \(CP = \frac{22,000}{1.1} = 20,000\)

Now that we have the Cost Price as Rs 20,000, we can calculate the Selling Price for an 18% profit:

  1. Desired Profit Percentage (P2) = 18%

Using the same profit formula with the new profit percentage:

\(SP_2 = CP \times \left(1 + \frac{P_2}{100}\right)\)

Substituting the values:

\(SP_2 = 20,000 \times \left(1 + \frac{18}{100}\right)\)

Simplify this expression:

  • \(SP_2 = 20,000 \times 1.18 = 23,600\)

Therefore, to achieve an 18% profit, the new selling price should be Rs 23,600.

This matches the given correct answer option.

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Similar Questions

  1. A shopkeeper sold two articles at Rs. 12,000 each. He sold one article at a profit of 20% and the other one at a loss of 20%. What is the net gain or loss to the shop keeper?

  2. Two old cars are sold for Rs. 48,000 each. One is sold at a profit of 20% and another at a loss of 20%. Find the net profit/loss percentage and the total amount of profit/loss.

  3. A tradesman sold an article at a loss of 20%. If the selling price had been increased by ₹100, there would have been a gain of 5%. What was the cost price of the article (₹)?

  4. A dealer marks his goods 25% above the cost price and then allows 10% discount on it. What is the cost price of an article on which he gains ₹50 ?

  5. 70% of the cost price of an article is equal to 50% of its selling price. The percentage of profit or loss on the cost price is


Important Questions from Profit and Loss

  1. Veer bought some sharpeners at the rate of ₹180/dozen. He sold them for ₹23 each. His profit percentage is ____ % (rounded off to two decimal places).
  2. A shopkeeper lists the price of a fan at 60% above its cost price and offers a 15% discount on its list price. If he earns a profit of ₹117, then what is the list price (in ₹) of the fan?
  3. The marked price of an article is ₹800. It is sold at two successive discounts of 24% and 15%, respectively. Find the selling price of the article.
  4. A discount of 13% on the marked price of an article is allowed and then the article is sold for ₹348. The marked price of the article is:
  5. A trader claims to sell grains at a profit of 29%, but also dishonestly uses a weight which is 13% less than what is mentioned on it. Find the total percentage of profit earned by the trader. (Round off the answer to the nearest whole number.)
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