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A man gains 20% by selling an article for a certain price. If he sells it at double the price, the percentage of profit will be:
1. 100
2. 120
3. 40
4. 140

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Correct Answer - Option 4 : 140

Given:

A man gains 20% by selling an article.

Formula used:

S.P = (100 + Profit%)/100 × C.P

Profit = S.P – C.P

Profit% = Profit/C.P × 100

Where,

C.P = Cost Price

S.P = Selling Price

Calculation:

According to the question:

Let S.P be x.

S.P = (100 + 20%)/100 × x

⇒ (120/100) × x = 6x/5

New S.P = 2 × (6x/5) = 12x/5

Now,

Profit = 12x/5 – x = (12x – 5x)/5 = 7x/5

Profit% = [(7x/5) × x] × 100

⇒ 7/5 × 100 = 140%

∴ The percentage of profit will be 140%.

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