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If the cost price of dozen items is equal to selling price of half a dozen items, then the profit percentage is
Question

If the cost price of dozen items is equal to selling price of half a dozen items, then the profit percentage is

A.

100

B.

50

C.

60

D.

75

Correct option is A

Given:
Cost price (CP) of 12 items is equal to the Selling price (SP) of 6 items.

Formula Used:
Profit Percentage = SP−CPCP×100\frac{SP-CP}{CP}\times100​​

Solution:
Let the Cost Price of 1 item be CP
Let the Selling Price of 1 item be SP
According to the given condition: 12×CP=6×SP12\times CP=6\times SP​​
Rearranging the ratio of SP to CP:
​SPCP=126 SPCP=21\frac{SP}{CP}=\frac{12}{6}\\ \ \\\frac{SP}{CP}=\frac{2}{1}​​
This means if Cost Price is 1 unit, Selling Price is 2 units.
Profit earned is:
Profit=SP-CP
Profit=2-1=1

Now, calculate the profit percentage:
Profit %=11×100\%=\frac{1}{1}\times100​​
Profit%=100
Final Answer
So the correct answer is (a)

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