Question : Shyam purchased a packet of 16 pens and got 4 pens free with it. He Marked the Price 20% more than the CP. If he did not allow any discount and sold all the 20 pens at this price, then what was his profit percentage?
Option 1: $37\frac{1}{2}$%
Option 2: $50$%
Option 3: $36$%
Option 4: $48$%
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Correct Answer: $50$%
Solution :
Given: Shyam purchased a packet of 16 pens and got 4 pens free with it. He Marked the Price 20% more than the CP.
Here cost price is denoted by CP, selling price is denoted by SP.
Let the CP of 1 pen = Rs.100
Total CP = (100 × 16) = Rs.1600
So, the CP of 20 pens is Rs.1600
Now, the MP of 1 pen = $(100+100×\frac{20}{100})$ = Rs. 120
Also, the SP of 1 pen = Rs. 120
So, the SP of 20 pens = (120 × 20) = Rs. 2400
We know,
Profit = $\frac{SP–CP}{CP}×100$%
So, profit = $(\frac{2400–1600}{1600})×100$% = 50%
Hence, the correct answer is $50$%.
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