Discount Ke Baad Profit Ka Sach

Question:- The cost price of an article is 75% of the marked price. If a discount of 15% is allowed, then the profit or loss percentage is:

एक वस्तु का लागत मूल्य उसके अंकित मूल्य का 75% है। यदि 15% की छूट दी जाती है, तो लाभ या हानि प्रतिशत क्या होगा?

Is question mein humein Cost Price (CP), Marked Price (MP) aur Discount ke beech ka relation samajhkar ye nikalna hai ki seller ko profit hua ya loss, aur wo kitne percent ka hai. Chaliye isse step-by-step, simple Hinglish mein detail ke saath samajhte hain.

🔹 Given Information (Diya Gaya Data)

• Cost Price (CP) = Marked Price (MP) ka 75%
• Discount = 15%
• Humein Profit ya Loss percentage nikalna hai

🔹 Step 1: Marked Price ko 100 maan lo

Profit – Loss ke questions mein calculation easy banane ke liye hum aksar Marked Price = 100 maan lete hain.

👉 MP = 100

🔹 Step 2: Cost Price nikaalo

Question ke according:

$$\text{CP} = 75\% \text{ of MP}$$$$\text{CP} = 75\% \text{ of 100} = 75$$

🔹 Step 3: Discount ke baad Selling Price nikaalo

Seller ne 15% discount diya hai.

$$\text{Discount} = 15\% \text{ of 100} = 15$$$$\text{Selling Price (SP)} = 100 - 15 = 85$$

🔹 Step 4: Profit ya Loss decide karo

Ab hum CP aur SP ko compare karte hain:

• Cost Price (CP) = 75
• Selling Price (SP) = 85

Kyuki Selling Price Cost Price se zyada hai, isliye yahan loss nahi, balki profit hua hai.

🔹 Step 5: Profit amount nikaalo

$$\text{Profit} = \text{SP} - \text{CP}$$$$= 85 - 75 = 10$$

🔹 Step 6: Profit Percentage calculate karo

Profit percentage ka formula hota hai:

$$\text{Profit \%} = \left(\frac{\text{Profit}}{\text{Cost Price}}\right) \times 100$$$$= \frac{10}{75} \times 100$$$$= 13\frac{1}{3}\% \; (\text{ya approx } 13.33\%)$$

✅ Final Answer

Seller ko 13⅓% ka profit hota hai.

🔹 Important Concept Samjho

Bahut se students ye sochte hain ki discount dena matlab loss, lekin ye hamesha true nahi hota. Agar Cost Price kaafi kam ho aur discount ke baad bhi Selling Price zyada rahe, to profit ho jata hai. Is question mein bhi wahi hua:

• CP = 75
• Discount ke baad SP = 85

Isliye seller safe zone mein hai aur profit kama raha hai.

🔹 Exam Tip (Yaad Rakhne Ka Trick)

Jab bhi:

• CP = x% of MP
• Discount = y%

Toh:

• SP = (100 − y)% of MP
• Compare SP% with CP%

Yahan:

• SP% = 85
• CP% = 75

Difference = 10

$$\frac{10}{75} \times 100 = 13\frac{1}{3}\%$$

✨ Conclusion

Is article par 15% discount dene ke baad bhi, seller ko loss nahi hua, balki 13⅓% ka profit mila. Aise questions SSC, Banking, Railway aur State exams mein kaafi common hote hain. Agar aap concept clear rakhenge aur MP = 100 maan kar solve karenge, to ye question seconds mein solve ho jayega.