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If Rajan purchase 21 pens for Rs. 20 and sell all the pens at the rate of 20 pens for Rs. 21, then what will be the profit percentage?
- A12.5
- B13.33
- C10.25
- D16.66
Answer not set
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CCommunity
Rajan purchase 21 pens for Rs. 20
CP of the 21 pens = Rs. 20
CP of the 1 pen = Rs. 20/21
Rajan sell 20 pens for Rs 21
SP of the 1 pen = 21/20
We know, profit = SP – CP
So, Profit = 21/20 – 20/21 = 41/420
We know, profit % = Profit/CP × 100
∴ Profit % $(= \frac{{\frac{{41}}{{420}}}}{{\frac{{20}}{{21}}}} \times 100 = \frac{{41}}{{420}} \times \frac{{21}}{{20}} \times 100 = 10.25\% )$
CP of the 21 pens = Rs. 20
CP of the 1 pen = Rs. 20/21
Rajan sell 20 pens for Rs 21
SP of the 1 pen = 21/20
We know, profit = SP – CP
So, Profit = 21/20 – 20/21 = 41/420
We know, profit % = Profit/CP × 100
∴ Profit % $(= \frac{{\frac{{41}}{{420}}}}{{\frac{{20}}{{21}}}} \times 100 = \frac{{41}}{{420}} \times \frac{{21}}{{20}} \times 100 = 10.25\% )$