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HomeSSC GDSsc Gd MathB3. Ratio & Proportion (अनुपात)
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B • Maths

B3. Ratio & Proportion (अनुपात)

Sharing • Compare quantities • Proportion

Chapter Overview (English + हिंदी)

Ratio compares quantities. Most SSC GD questions ask to divide an amount in a given ratio or to convert ratio to fraction.

अनुपात दो राशियों की तुलना है। SSC GD में अक्सर कुल राशि को ratio में बाँटना, या ratio को fraction में बदलना पूछा जाता है।

Professor Tip: पहले formula याद, फिर 5 सवाल speed से, फिर 1-2 सवाल deep समझ से.

Important Formulas / महत्वपूर्ण सूत्र

If A:B = m:n ⇒ A = km, B = kn (k common factor).
Share of A in total T with ratio m:n ⇒ A = T×m/(m+n).
If a/b = c/d ⇒ a×d = b×c (cross-multiplication).

Quick Tricks / त्वरित ट्रिक्स

  • Share = Total × part/(sum of parts).
  • Ratio simplify by HCF.
  • Cross multiplication instantly.

Practice MCQs (6) – Answer Hidden by Default

Click “Show Answer” for each question. (SSC GD level)

Q1. Divide ₹900 in ratio 2:3.
₹900 को 2:3 में बाँटें। (पहला हिस्सा?)
Answer: A (₹360)
Explanation: First share = 900×2/(2+3)=900×2/5=360.
Trick: Sum parts=5.
Q2. If A:B = 5:7 and B=140, then A=?
A:B=5:7 और B=140, तो A=?
Answer: C (100)
Explanation: 7 parts=140 ⇒ 1 part=20 ⇒ A=5×20=100.
Trick: Find 1 part first.
Q3. Simplify ratio 48:60.
48:60 सरल करें।
Answer: A (4:5)
Explanation: Divide both by 12 ⇒ 4:5.
Trick: HCF निकालो.
Q4. If x:y = 3:4, then x/(x+y) =
x:y=3:4 तो x/(x+y) =
Answer: A (3/7)
Explanation: x=3k, y=4k ⇒ x/(x+y)=3k/7k=3/7.
Trick: Use parts directly.
Q5. If 12 workers do a job in 15 days, 20 workers will do it in:
12 मजदूर 15 दिन में काम करें, 20 मजदूर कितने दिन?
Answer: B (9)
Explanation: Inverse proportion: days=12×15/20=9.
Trick: Workers×Days = constant.
Q6. A:B = 2:5, B:C = 3:4. Find A:C.
A:B=2:5, B:C=3:4 तो A:C=?
Answer: A (6:20) → 3:10
Explanation: Make B same: A:B=2:5 ×3 ⇒ 6:15; B:C=3:4 ×5 ⇒ 15:20 ⇒ A:C=6:20=3:10.
Trick: LCM of middle term.
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