If the selling price of an article is doubled, then its loss % become

1.	If the selling price of an article is doubled, then its loss % becomes equal to profit %. The loss% on the article is.1. (200/3)%2. (50/3)%3. 30%4. (100/3)%
Answer» Correct Answer - Option 4 : (100/3)% Given: The selling price of an article is doubled, then its loss percent is converted into equal profit percent. Formula used: P = S.P. – C.P. L = C.P. – S.P. P% = (P/C.P.) × 100 L% = (L/C.P.) × 100 Where, P → Profit L → Loss SP → Selling price CP → Cost price Calculations: Let the CP of the article be Rs. 100 and its SP be x. According to the question, ((100 – x)/100) × 100 = ((2x – 100)/100) × 100 ⇒ 100 – x = 2x – 100 ⇒ 3x= 200 ⇒ x = 200/3 So loss = 100 – 200/3 = 100/3 L% = (L/CP) × 100 ⇒ L% = ((100/3)/100) × 100 = (100/3)% ∴ The require Loss% is (100/3)%.

If the selling price of an article is doubled, then its loss % becomes equal to profit %. The loss% on the article is.1. (200/3)%2. (50/3)%3. 30%4. (100/3)%

Answer» Correct Answer - Option 4 : (100/3)%

Given:

The selling price of an article is doubled, then its loss percent is converted into equal profit percent.

Formula used:

P = S.P. – C.P.

L = C.P. – S.P.

P% = (P/C.P.) × 100

L% = (L/C.P.) × 100

Where,

P → Profit

L → Loss

SP → Selling price

CP → Cost price

Calculations:

Let the CP of the article be Rs. 100 and its SP be x.

According to the question,

((100 – x)/100) × 100 = ((2x – 100)/100) × 100

⇒ 100 – x = 2x – 100

⇒ 3x= 200

⇒ x = 200/3

So loss = 100 – 200/3 = 100/3

L% = (L/CP) × 100

⇒ L% = ((100/3)/100) × 100 = (100/3)%

∴ The require Loss% is (100/3)%.

Discussion

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