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
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Answered by
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 =
or
Actual profit = 28.70%
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