Lecture 7 – Ratio & Proportion Part 2 | BPS 5–15 Intermediate
Bismillah ir-Rahman ir-Raheem. Assalam-o-Alaikum friends! Ye Lecture 7 hai — Ratio & Proportion Part 2 specially BPS 5–15 Intermediate students ke liye tayyar ki gayi hai, aur IBA STS exam ke liye bohot important topic hai. Is lecture me aapko step-by-step detailed Roman Urdu notes milenge, jisme examples, short tricks, aur exam tips shamil hain. Ye notes aapke register me likhne, homework solve karne, aur exam me confident hone me madad karenge. Agar aap channel pe naye hain, to subscribe karein aur WhatsApp link description se join karein.
🎬 Lecture 7 Video
📝 Lecture 7 – Notes (Roman Urdu)
Short overview: Is lecture me hum ne ratio aur proportion ke concepts detail me cover kiye. Har step ko easy Roman Urdu me samjhaya gaya hai taake aap register me clear aur neat likh saken. Neeche key concepts aur step-by-step examples diye gaye hain.
📌 Key Concepts
- Ratio: Do cheezon ka numerical comparison; order ka khayal rakhen (example: Boys : Girls = 5 : 7).
- Part Method: Ratios ke numbers ko add karke total parts nikalain. Total quantity ko parts se divide kar ke ek part ki value nikalain. Phir required ratio se multiply karein. (Example included below)
- Cross Multiplication: Agar proportion di ho (a/b = c/d), to cross multiply kar ke unknown nikalte hain.
- Exam Tips: Question ko dhyaan se padhain, kis cheez ka value poochi gayi hai. Register me har step clearly likhen. Practice se time bacha sakte hain.
🧮 Step-by-Step Examples (Solved)
- Example 1 — Boys : Girls = 5 : 7 (Total = 60)
• Total parts = 5 + 7 = 12.
• One part value = 60 ÷ 12 = 5.
• Boys = 5 × 5 = 25. Answer: 25 boys - Example 2 — Apples : Oranges = 2 : 3 (Total = 50)
• Total parts = 2 + 3 = 5.
• One part = 50 ÷ 5 = 10.
• Apples = 2 × 10 = 20. Answer: 20 apples - Example 3 — Workers : Machines = 6 : 4 (Machines = 16)
• Set proportion: 6 / 4 = x / 16.
• Cross multiply: 6 × 16 = 4x → x = 24 workers - Example 4 — Recipe (Flour : Sugar = 3 : 2; Flour = 6 cups)
• 3 / 2 = 6 / x → 3x = 12 → x = 4 cups sugar - Example 5 — School Boys : Girls = 8 : 5 (Total = 130)
• Total parts = 8 + 5 = 13.
• One part = 130 ÷ 13 = 10.
• Girls = 5 × 10 = 50 girls
✔ Important Points (Quick)
- Hamesha total parts pehle nikalain (ratio numbers ko add karen).
- Poore question ko dhyaan se padhen: kis cheez ki value poochi gayi hai.
- Cross multiplication practice karein — exam me time bachata hai.
- Numbers simple rakhen, aur register me step-by-step likhen taake homework check karna easy ho.
- Exam me short tricks aur step method dono ko use karein for fast solving.
📄 Past-Paper Relevance
Ye type ke ratio aur proportion ke sawalat IBA STS past papers me frequently aate hain. Past papers ki practice karein aur time limit set karke solve karein. Similar pattern aapko har paper me milega, aur exam me speed aur accuracy improve hoti hai.
🖊 Homework Instructions
- Lecture 7 ke same type ke sawalat apne register me solve karein.
- Register ki clear image le kar homework submission link par upload karein.
- Ensure karein ke question numbers aur steps clearly likhe hon.
- Submission ke liye description me diya gaya link follow karein aur type ya image upload kar ke submit karein.
- Main homework check kar ke WhatsApp par inform karungi ke kon se answers sahi hain.
📹 Homework Submission Guide
Aap form ya WhatsApp dono tareeqon se homework submit kar sakte hain. Direct guide dekhein taake submission sahi ho.
❓ Ask Miss Mono – Submit Your Questions
Agar aapko IBA STS, Sindh Job Portal, form filling ya kisi topic me masla ho to yahan apna sawaal submit karein. Main detailed jawab aur guidance dungi.
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📚 More Resources / Study Hub
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