A man purchased 150 pens at the rate of Rs. 12 per pen. He sold 50 pens at a gain of 10%. The percentage gain at which he must sell the remaining pens so as to gain 15% on the whole outlay is = ?
A. $$21\frac{1}{2}$$%
B. 20%
C. 17%
D. $$17\frac{1}{2}$$%
Answer: Option D
Solution (By Examveda Team)
According to the question,Pen × Profit (%) = Total Profit
Total 150 pens × 15 = 2250
50 × 10 = 500
100 × a = 1750
a = 17.5
∴ Remaining profit% of pen = 17.5% or $$17\frac{1}{2}$$%

Birendra buys 150 dotpens for Rs 1875. He sells 50 of them at a loss of 5%. At what rate should he sell the remainder so as to gain 10% on the whole?