Question

A shopkeeper loses 20% on selling an article for rupees 1000. What should be the selling price if he wants to make a profit of 20%.​

Answer 1

Answer:

Aasha Hai ki Yah Answer Aapki Help Karega .

Step-by-step explanation:

Original Selling Price (S.P.) of the article = ₹1,000

New profit % = 20%

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To find:

New Selling price of the article to earn a profit of 20%.

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Solution:

We are given that,

Original loss % = 20%

Original S.P. = ₹1,000

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Hence we can find the Cost Price (C.P.) of the article, which is given by the formula:

C.P = S.P × 100 / 100 - L%

On substituting the values in the formula,

C.P = 1000 × 100 / 100 - 20

C.P = 1,00,000 / 80

C.P = 1,250

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Now,

C.P. = ₹1,250

New profit % = 20%

New S.P. = ?

We can find the new S.P. of the article, which is given by the formula:

S.P = 100 + P% / 100 × C.P

On substituting the values in the formula,

S.P = 100 + 20 / 100 × 1,250

S.P = 120 / 100 × 1,250

S.P = 12 / 10 × 1,250

S.P = 12 × 125

S.P = RS 1,500

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Final answer:

Hence, the man should sell the article for ₹1,500 in order to gain a profit of 20%.

Answer 2

Answer:

The selling price of the article should be 1500 rupees.

Step-by-step explanation:

Suppose that the initial price of the article be $x$ . The shopkeeper losses 20% on selling the article for 1000 rupees.

The 20% of the original price is

$20\% \ of \ original\ price = \dfrac{20}{100}\times x$

Thus we have

$selling \ price = original \ price - 20\% of \ the \ original\ price\\\\\implies 1000= x-\dfrac{20}{100}x \\\\\implies 1000\times 100=100x-20x\\\\\implies 80x =100000\\\\\implies x = \dfrac{100000}{80} =1250$

So the original price of the article is 1250 rupees.

Now we want to determine the selling price so that he gets a profit of 20%.

So the selling price is obtained by adding the original price with 20% of the original price.

$selling\ price = 1250+\dfrac{20}{100}\times 1250 = 1250+250 = 1500$

The selling price of the article should be 1500 rupees.