An article is sold with a certain profit percentage such that selling the same at one-third price, there will be a loss of 60%. Find the certain profit percentage.a)20%b)25%c)12%d)15%Correct answer is option 'A'. Can you explain this answer?

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An article is sold with a certain profit percentage such that selling the same at one-third price, there will be a loss of 60%. Find the certain profit percentage.

a)
20%
b)
25%
c)
12%
d)
15%

Correct answer is option 'A'. Can you explain this answer?

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An article is sold with a certain profit percentage such that selling ...

Let the selling price of the article =Rs.x

If the article is sold in 1/3 price, then selling price =Rs.x/3 and loss =60%

So, the cost price of the article = Rs.( x/3 ) × (100/40) = Rs. (5x/6) Then, profit earned by selling the article at Rs. x = Rs. x – (5x/6) = Rs.x/6

∴ The required profit percentage = [(x/6)/ (5x/6) × 100]% = 20%.

Alternatively:-

Say CP = 100 Rs. say profit X%

SP = 100 + X

New SP = (100 + X)/3 = 100 - 60

X = 20

Alternative Method: (Easier Method)

Let cost price =100 (Because percentages are mentioned here, and the highest number will be 100)

Loss = 60%

Selling price = 40

Actual selling price = 3 × 40 = 120

Profit = 20 %

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An article is sold with a certain profit percentage such that selling the same at one-third price, there will be a loss of 60%. Find the certain profit percentage.a)20%b)25%c)12%d)15%Correct answer is option 'A'. Can you explain this answer?

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