price of 13 books is equal to selling price of 12 books find the profit percent
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ANSWER -
The profit percentage of the given problem is 25/4% or 8 1/3% or 8.13 %
Step-by-step explanation:
The cost price of 13 books is equal to the selling price of 12 books.
Let the cost price of a book be Rs. X
The cost price of 13 books = 13×x = Rs. 13X
Let the selling price of a book be Rs. Y
Selling Price of 12 books = 12×Y = Rs. 12Y
Therefore
Selling Price of 12 books = Rs. 13X
Since CP of 13 = SP of 12
=> 13X = 12Y
=>X/Y = 12/13
=> Y/X = 13/12
Let Y = 13a , and X = 12a
Where SP > CP
=> Gain = SP - CP
=> Gain = 13a-12a = a
Gain % = (Gain/CP) × 100
=>g% = (a/12a)×100
=> g% = 100a/12a
=> g% = 100/12
=>g % = 25/3 %
=> g% = 8 1/3 %
Answer:-
The profit percentage of the given problem is 25/4% or 8 1/3% or 8.13 %
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