Study With Shalem on Instagram: "Arthametic, Reasoning imp models #viral #appsc ARITHMETIC IMPORTANT MODELS 1. 📊 Percentage Model x% of y = (x/100) × y Increase/Decrease: New value = Original × (1 ± %/100) 👉 Example: 20% increase → ×1.2 2. 💰 Profit & Loss Model Profit = SP – CP Loss = CP – SP Profit % = (Profit/CP) × 100 👉 Shortcut: If profit = 20% → SP = 120% of CP 3. 🧮 Simple Interest (SI) � P = Principal, R = Rate, T = Time 👉 Amount = P + SI 4. 💳 Compound Interest (CI) A = P(1 + R/100)^T CI = A – P 👉 Shortcut: 2 years → CI – SI = (P × R²)/10000 5. 🚶 Time & Work Model Work = Rate × Time If A can do in x days → 1 day work = 1/x 👉 Shortcut: A & B → 1/x + 1/y 6. 🚆 Time, Speed & Distance Speed = Distance / Time 👉 Important: Relative Speed: Opposite → add Same → subtract 7. 🚰 Pipes & Cisterns Same as Time & Work 👉 Fill = +ve, Leak = –ve 8. 🔢 Ratio & Proportion a : b = c : d → ad = bc 👉 Shortcut: Direct / Inverse variation 9. 🧾 Averages Average = Sum / Number 👉 Shortcut: Total = Average × Number 🧠 REASONING IMPORTANT MODELS 1. 🔠 Coding-Decoding Letter shift (A=1, B=2…) Reverse coding Pattern coding 2. 🔢 Number Series 👉 Common patterns: / – × / ÷ Squares, cubes Mixed pattern 3. 🔗 Analogy Relationship-based 👉 Example: Book : Read :: Food : Eat 4. 👨👩👧 Blood Relations 👉 Trick: Draw family tree 5. 🧭 Direction Sense 👉 Key: North–South–East–West diagram 6. ⏰ Clock Problems Angle formula: � 7. 📅 Calendar 👉 Odd days concept Leap year = 366 days 8. 🧩 Syllogism 👉 Rules: All, Some, No relations 9. 🔄 Seating Arrangement 👉 Linear / Circular Fix one position first ⚡ FAST PREPARATION STRATEGY Daily 20 Arithmetic + 20 Reasoning questions Focus on shortcuts + practice Revise formulas daily Solve previous papers #trending #explore #explorepage"
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ARITHMETIC IMPORTANT MODELS
1. 📊 Percentage Model
x% of y = (x/100) × y
Increase/Decrease:
New value = Original × (1 ± %/100)
👉 Example: 20% increase → ×1.2
2. 💰 Profit & Loss Model
Profit = SP – CP
Loss = CP – SP
Profit % = (Profit/CP) × 100
👉 Shortcut:
If profit = 20% → SP = 120% of CP
3. 🧮 Simple Interest (SI)
�
P = Principal, R = Rate, T = Time
👉 Amount = P + SI
4. 💳 Compound Interest (CI)
A = P(1 + R/100)^T
CI = A – P
👉 Shortcut:
2 years → CI – SI = (P × R²)/10000
5. 🚶 Time & Work Model
Work = Rate × Time
If A can do in x days → 1 day work = 1/x
👉 Shortcut:
A & B → 1/x + 1/y
6. 🚆 Time, Speed & Distance
Speed = Distance