Business Studies, asked by shakyahimanshu27591, 1 year ago

Ramesh sold an article at a certain profit he purchased the artical for 12% less and sold it for 24 % more his profit would be 2.5 times the actual profit. Find his actual profit

Answers

Answered by Ritikakinha1234
5

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Answered by valetta
5

Answer:

28.70%

Explanation:

Let the initial selling price be 'SP' and Purchasing cost be 'CP' and profit be 'P'

Given:

Purchasing cost = ( 100% - 12% ) × CP = 88% of CP = 0.88CP

Selling cost = ( 100% + 24% ) of SP = 1.24SP

Now,

the profit = Selling price - Purchasing cost

thus, according to the given condition

1.24SP - 0.88CP = 2.5 × (SP - CP)

or

2.5CP - 0.88CP = 2.5SP - 1.24SP

or

1.62CP = 1.26SP

or

CP = 0.777SP

now,

Actual Profit = \frac{SP-0.777SP}{0.777SP}\times100

or

Actual profit = 28.70%

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