= 4 : 4 = 1 : 1
English: In what ratio must a grocer mix two varieties of rice costing ₹40/kg and ₹48/kg to get a mixture worth ₹44/kg? Hindi: ₹40 प्रति किग्रा और ₹48 प्रति किग्रा वाली दो किस्मों के चावल को किस अनुपात में मिलाया जाए कि मिश्रण ₹44 प्रति किग्रा का हो जाए? Solution (Using Alligation Rule as in SD Yadav): sd yadav math
| Chapter No. | Topic Name | Key Sub-Topics Covered | | :--- | :--- | :--- | | 1 | | Divisibility, Remainder theorem, Unit digit, Factorials | | 2 | LCM & HCF | Fractions, Decimals, Product of numbers | | 3 | Simplification | BODMAS, Fractions, Surds & Indices | | 4 | Average | Weighted average, Replacement, Temperature | | 5 | Percentage | Conversion, Successive percentage, Population growth | | 6 | Profit & Loss | CP/SP, Discount, Marked price, False weight | | 7 | Simple Interest | Principal, Rate, Time, Installments | | 8 | Compound Interest | CI vs SI, Half-yearly/Quarterly, Growth | | 9 | Ratio & Proportion | Partnership, Componendo/Dividendo | | 10 | Mixture & Alligation | Mean price, Mixing liquids, Replacements | | 11 | Work & Time | Efficiency, Alternate days, Pipes & Cisterns | | 12 | Speed, Time & Distance | Average speed, Relative speed, Boats, Trains | | 13 | Algebra | Linear/Quadratic eq., Identities, Factorization | | 14 | Geometry | Lines, Angles, Triangles, Circles, Polygons | | 15 | Mensuration (2D/3D) | Area/Volume of Cylinder, Cone, Sphere | | 16 | Trigonometry | Ratios, Identities, Height & Distance | | 17 | Data Interpretation | Bar/Line/Pie charts, Tables | 3. Sample Solved Problem (Typical SD Yadav Style) Let’s solve a Mixture & Alligation problem exactly as presented in the book. = 4 : 4 = 1 : 1
| C.P. of cheaper (c) | C.P. of dearer (d) | | :--- | :--- | | 40 | 48 | | \ | / | | \ | / | | | | / | \ | | / | \ | | (d - m) = 4 | (m - c) = 4 | | Topic Name | Key Sub-Topics Covered |