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?

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%