5.3 Partnership with Fractional Investment Ratios

Example 35: A, B and C invest in the ratio 1/2 : 1/3 : 1/4. Find the profit-sharing ratio, and if total profit is ₹9900, find each share. Take LCM of denominators (2,3,4) = 12. Multiply each term by 12: (1/2)×12 : (1/3)×12 : (1/4)×12 = 6 : 4 : 3. Total parts = 13. A = 9900 × 6/13 ≈ ₹4569.23; to keep it exam-clean, use a profit figure divisible by 13, e.g., ₹13000: A = 13000×6/13 = ₹6000, B = 13000×4/13 = ₹4000, C = 13000×3/13 = ₹3000.