Q.2. A shopkeeper listed the price of goods at 30% above the cost price. He sells half the stock at this price, one quarter of the stock at a discount of 15% and the rest at a discount of 30%. Find his profit% overall?

Asked by sonali gupta | 28th May, 2013, 01:43: PM

Expert Answer:

Marked price = CP + 30% CP = 1.3CP
 
Let the total number of good he has be x 
Hence, he sells x/2 goods at 1.3CP; x/4 goods at a discount of 15% and remaining x/4 goods at a discount of 30%
 
So, SP after 15% discount = 1.3CP - 15% of 1.3CP = 1.105CP
SP after 30% discount = 1.3CP - 30% of 1.3CP = 0.91CP
 
So, total SP for all goods = x/2 * 1.3CP  + x/4 *1.105CP + x/4 * 0.91CP = 1.15375x CP
 
Hence profit = SP - CP = 1.15375x CP - xCP = 0.15375xCP 
Profit% = profit/CP *100
Profit % = 0.15375xCP /xCP *100 = 15.375%

Answered by  | 28th May, 2013, 05:00: PM

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