By selling a book for Rs. 144 a man loses 1/2 of his outlay. If he sells it fir rs 189 what will be his gain percentage
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By selling a book for Rs. 144 a man loses 1/7 of his outlay. If he sells it for Rs 189, then his Gain percentage is 12.5%
Note : A man loses 1/7 of his outlay. Not 1/2.
Step-by-step explanation:
Let the Cost Price be ₹ P
Loss on Cost Price = 1/7 = P/7
Selling Price = ₹144
Selling Price= Cost Price - Loss
=> 144 = P - P/7
=> 144 = (7P-P)/7
=> 144 = 6P/7
=> P = (144x7)/6
=> P = ₹168
Cost price = ₹168
If he sells the book for ₹189 :
Cost Price = ₹ 168
Selling Price = ₹ 189
Selling Price is more. Hence, Profit occurred.
Profit = SP - CP
Profit = 189 - 168
Profit = ₹21
Profit Percentage = (Profit/CP) x 100
Profit Percentage = (21/168) x 100
Profit Percentage = 12.5%
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