A seller offers a 40% discount on an item whose cost price is Rs. 720.
A seller offers a 40% discount on an item whose cost price is Rs. 720. Despite the discount, the seller earns a profit of 20%. What must be the marked price?
एक विक्रेता 720 रुपेय की लागत वाली वस्तु पर 40% की छूट देता है। छूट के बावजूद, विक्रेता को 20% का लाभ होता है। अंकित मूल्य क्या होगा ?
Detailed Solution & Logic
Rs. 1,440/ 1,440 रुपये
👍 Simple Solution:
📌 Given:
- Cost Price (CP) = ₹720
- Profit = 20%👉 Selling Price (SP):
$ SP = 720 + 20% \text{ of } 720 = 720 + 144 = 864 $
Discount = 40%
👉 That means:
$ SP = 60% \text{ of Marked Price (MP)} $
Step:
$ 864 = 60% \text{ of MP} $
$ 864 = \frac{60}{100} \times MP $
Solve:
$ MP = \frac{864 \times 100}{60} = 1440 $
⚠️ Wait — Check carefully 👇
$ 864 ÷ 0.6 = 1440 $
Final Answer:
👉 ₹1440
Quick Trick:
👉 When discount = 40%
➡️ SP = 60% of MP
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