A product is sold at a 20% discount on its marked price. This transaction results in a profit of 10% on its cost price.
A product is sold at a 20% discount on its marked price. This transaction results in a profit of 10% on its cost price. If the profit earned is 300, what would have been the selling price if the product was sold at a 30% discount on its marked price?
एक उत्पाद को उसके अंकित मूल्य पर 20% की छूट पर बेचा जाता है। इस लेन-देन के परिणामस्वरुप उसके क्रय मूल्य पर 10% का लाभ होता है। यदि अर्जित लाभ ₹300 है, तो उत्पाद को उसके अंकित मूल्य पर 30% की छूट पर बेचे जाने पर विक्रय मूल्य क्या होता?
Detailed Solution & Logic
₹2887.50
Solution:
Profit = ₹300 = 10% of Cost Price (CP)
$ CP=\dfrac{300\times100}{10}=₹3000 $
Selling Price at 20% discount = 110% of CP
$ SP_1=1.10\times3000=₹3300 $
$ \text{Since } SP_1=80% \text{ of Marked Price (MP),} $
$ MP=\dfrac{3300\times100}{80}=₹4125 $
$ \text{Selling Price at 30% discount} =70% \text{ of MP} $
$ SP_2=\dfrac{70}{100}\times4125=₹2887.50 $
Answer: ₹2887.50 ✅
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