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Phrases Profit Loss And Discount PYQ



After allowing 20% cash discount, a trader still earns a profit of 11.11%. How much above the cost price, the trader marks his goods?





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Solution

Profit & Discount Problem: Marked Price vs Cost Price

Given:

  • Cash Discount = 20%
  • Profit = 11.11% (i.e., 1/9 of Cost Price)

Step-by-Step:

  • Assume Cost Price = ₹100
  • Then Selling Price = ₹111.11
  • SP = 80% of Marked Price ⇒ MP = (111.11 × 100) / 80 = ₹138.89
  • Markup = ₹138.89 − ₹100 = ₹38.89

✅ Final Answer: The trader marks the goods 38.89% above the cost price.



Aryan bought 100 shares of a company at Rs. 50 per share. He paid a brokerage fee of 2% on the purchase. Later, he sold all the shares at Rs. 55 per share and paid a brokerage fee of 2% on the sale. What is Aryan’s net profit percentage on his investment?





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Solution

Share Market Math: Net Profit with Brokerage

Buying:

  • 100 shares at ₹50 each = ₹5,000
  • Brokerage (2%) = ₹100
  • Total Cost Price = ₹5,100

Selling:

  • 100 shares at ₹55 each = ₹5,500
  • Brokerage (2%) = ₹110
  • Net Selling Price = ₹5,390

Profit:

  • Profit = ₹5,390 − ₹5,100 = ₹290
  • Profit % = (290 / 5100) × 100 ≈ 5.69%

✅ Final Answer: Net profit percentage is 5.69%



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