A shopkeeper purchase 15 dozen pens at the rate of Rs 60 per dozen he sold them at Rs 6.50 each . find his gain or loss
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A shopkeeper purchase 15 dozen pens at the rate of Rs 60 per dozen he sold them at Rs 6.50 each . He incurs a gain of Rs 270
Cost Price of 12 pens (1 dozen) = Rs 60
So, from unitary method, Cost Price of 1 pen = Rs (60/12) = Rs 5.00
Also, Cost Price of 15 dozens of pens = Rs (5×15×12) = Rs 900
Also, it is mentioned that, Selling Price of 1 pen = Rs 6.50
As, SP>CP so there is a profit.
Profit value = Rs (SP - CP) = Rs (6.50 - 5.00) = Rs 1.50
Thus he incurs a profit of Rs 1.50 for selling 1 pen, and, he would incur a profit of Rs (1.50 × 15 × 12) = Rs 270 if he sells 15 dozens of pens.
Profit% = (Profit value/CP) × 100% = (270/900) × 100% = 30%
Hence the profit value is Rs 270 and profit % is 30%
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