Question

A trader marked his goods at 20% above the cost price. He sold half the stock at the marked price, one quarter at a discount of 20% on the marked price and the rest a discount of 40% on the marked price. His total gain percent is:

• A. 2%
• B. 4.5%
• C. 13.5%
• D. 15%
• E. Cannot be determined

Answer 1

The correct option is A

2%

Let the trader has 100 goods.

Let C.P. of one good = Rs. 100. Then, Marked Price of one good = Rs. 120.

S.P of half stock = $Rs.120\times 50=6000$

S.P of one fourth stock = $Rs.96\times 25=2400$

S.P of other one fourth stock = $Rs.72\times 25=1800$

Total C.P = 10000 and Total S.P = 10200

Hence, gain\% =$\frac{10200-10000}{10000}\times 100=2\%$