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If selling price is doubled profit triples. Find profit percent.1. 200%2. 400%3. 50%4. 100%

Answer» Correct Answer - Option 4 : 100%

Formula used:

Profit = SP - CP

Profit % = (Profit/CP) × 100

Here, SP → Selling price, CP → Cost price

Concept used:

Profit and the loss is always given on CP

Calculation:

Let the SP and CP be x and y respectively

Profit = (x - y)

Now, the S.P. is doubled, then the new S.P. is 2x

New profit = (2x - y)

According to the question:

⇒ 3(x - y) = 2x - y

⇒ 3x - 3y = 2x - y

⇒ x = 2y      ----(1)

Now, Profit = SP - CP

⇒ x - y = 2y - y = y      ----(from eq (1))

Profit % = (Profit/CP) × 100

⇒ (y/y) × 100 = 100%

∴ The profit is 100%



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