Tomsells a bicycle to ram at 25%profit.ram sells a bicycle to hari at 20%loss. loss.if hari pays rs.1500 for it at what price tom purchase it.
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answer is 1500
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Answered by
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Answer:
Tom purchased the bicycle at cost of Rs.1500.
Step-by-step explanation:
Case 1: Tom sells a bicycle to Ram.
Profit = 25%
Cost Price = Selling Price - Profit.
CP1 = SP - CP1*25/100
CP1 = SP - 0.25CP1
SP1 = 1.25CP1
Case 2: Ram sells to Hari
Loss = 20%
Selling Price SP2= Rs.1500
Selling Price of Case 1 is Cost Price of Case 2.
So,
CP2 = SP1
CP2 = 1.25CP1
Selling price 2 = Cost Price 2 + 20% Loss
SP2 = 1.25CP1 - 1.25CP1*20/100
1500 = 1.25CP1 - 0.25CP1
1500 = CP1
Therefore, Original Cost Price of the bicycle = Rs.1500
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