Question : A person bought 50 pens for Rs 50 each. He sold 40 of them at a loss of 5%. He wants to gain 10% on the whole. Then his gain percentage on the remaining pens should be:
Option 1: 15%
Option 2: 40%
Option 3: 50%
Option 4: 70%
Correct Answer: 70%
Solution :
The cost price of the pen = Rs. 50
The cost price of 50 pens = Rs. 50 × 50 = Rs. 2,500
To gain 10% overall, all the pens should be sold at = $\frac{110}{100}\times2500$ = Rs. 2750
Now, 40 pens sold at 5% loss
Cost price of 40 pens = 40 × 50 = Rs. 2,000
Selling price of 40 pens = $\frac{95}{100}\times2000$ = Rs. 1,900
The remaining 10 pens were sold for = 2750 – 1900 = Rs. 850
The selling price of one of the remaining pens = $\frac{850}{10}$ = 85
Gain = 85 – 50 = 35
Gainpercentage = $\frac{35}{50}\times100$ = 70%
Hence, the correct answer is 70%.
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