a shopkeeper listed the price of goods at 30% above the cost price.he sells half the stock at this price.one fourth of a stock at a discount of 15% and remaining at 30% discount.his overall profit is?

• Listed Price L =1.3 C
  
  Let there be 100 products. Total cost = 100 C
  
  50% goods, he sells at list price, so total selling amount = 1.3 C X 50
  25% goods, he sells at discount of 15%, so amount = (1.3 C X 0.85) X 25
  Remaining (i.e. 25%), at 30% discount, so amount = (1.3 C X 0.70) X 25
  
  Total Selling price = 65 C+ 27.625 C + 22.75 C = 115.375 C
  
  Profit = 115.375 C -100 C = 15.375 C
  
  Profit % = 15 3/8 %
  
• 10 years agoHelpfull: Yes(2) No(1)
• Solution 1: Short Cut Method:
  ========
  Net profit of shopkeeper is on 1/4th of stock at 15%. Remaining goods sold at 30% profit and 30% discount, so no profit, no loss.
  
  So, actual profit is on 1/4th of stock at 15% (+30% - 15% discount).
  
  So, Profit percent is 15/4% = 3.75%
  
  Solution 2: Arithmetic Method:
  ========
  Assume that cost of goods is Rs. 240.
  On 1/2, shopkeeper get profit of 30% = Rs. 120*30% = +36
  On 1/4th, he gives discount of 15%. = Rs. 60*15% = -9
  On remaining 1/4th, he gives discount of 30%. = Rs. 60*30% = -18
  
  Net Profit on Rs. 240 = Rs. 36 - 9 - 18 = Rs. 9
  
  Profit Percent = 9*100/240 = 15/4% = 3.75%
• 9 years agoHelpfull: Yes(0) No(1)