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    A trader marks up his goods by 50%. However, he could sell only one-third of his stock at this price. The half of the remaining stock was sold at a discount of 7.14% and the remaining at a discount of 16.67%. Find the overall percentage profit of the trader.

  • 38%
  • 42%
  • 29%
  • 34%
  • 40%
  • Explanation:

    Let the cost price of the stock = INR 100/-

    Market price = 100×150/100= INR 150/-

    Selling price = 150/3[100-50/100]+2/3×150/2

    ×[100-7.14/100]+50×[100-16.67/100]

    =50+46.43+41.66= INR 138.09

    ∴ Required profit percentage 

    =138.09-100/100×100

    =38.09%=38%