A shopkeeper buys a fan for ₹1,500 and marks it for ₹2,500. He sells it after giving a discount of 20% on its marked price and an additional discount of ₹250 on cash payment. If a customer buys it on cash payment, then what is the profit (in ₹) earned by the shopkeeper?

English বাংলা
PREVIOUSLY ASKED IN:
CTET 2026

Answer

₹250

Explanation

Marked Price (MP) = ₹2500. Price after 20% discount = 2500 - (20% of 2500) = 2500 - 500 = ₹2000. Additional discount for cash = ₹250. Final Selling Price (SP) = 2000 - 250 = ₹1750. Cost Price (CP) = ₹1500. Profit = SP - CP = 1750 - 1500 = ₹250.

Key Points

  • > Discount is always calculated on the Marked Price (MP) or Printed Price.
  • > Profit or Loss is always evaluated based on the Cost Price (CP).
  • > For successive or multiple discounts, apply them sequentially to find the final Selling Price.
  • > If the final Selling Price is greater than the Cost Price, a profit is made.
  • > Shopkeepers mark up prices significantly above CP to allow for discounts while still making a profit.
  • > The Mark up value here is 2500 - 1500 = ₹1000.
  • > The additional cash discount is given in flat absolute value (₹250), so it's subtracted directly.

Additional Information

Profit, Loss & Discount Concepts

TermMeaningFormula
Cost Price (CP)Buying priceInitial cost incurred
Selling Price (SP)Selling priceFinal transaction value
Marked Price (MP)Printed priceTagged price on item
Discount (D)ReductionMP - SP

Memory Tips

  • Core Rule: Profit/Loss uses CP as the base. Discounts use MP as the base.
  • Multiplier Shortcut: A 20% discount means you pay 80% or \( \frac{4}{5} \) of the MP. (e.g., 80% of 2500 = 2000).
Mathematics Arithmetic Medium