Practicing Success
A, B and C invested ₹40,000, 48,000 and ₹80,000, respectively, for a business at the start of a year. After six months, for the remaining time of the year. A added ₹4,000, B added ₹4,000 while C withdrew ₹4,000 every month. If the total profit is ₹6,72,000, then what is C's share (in ₹)? |
1,96,750 1,80,480 2,11,200 2,80,320 |
2,80,320 |
A, B, and C invested ₹40000, ₹48000, and ₹80000, respectively The total profit = ₹ 672000 After six months, for the remaining time of the year, A added ₹4000, B added ₹4000 and C withdrew ₹4000 every month. So, (4000 × 6) + (4000 × 5) + (4000 × 4) + (4000 × 3) + (4000 × 2) + (4000 × 1) = 4000 × 21 = 84000 A : B : C = [(40000 × 12) + 84000] : [(48000 × 12) + 84000] : [(80000 × 12) - 84000] = (480000 + 84000) : (576000 + 84000) : (960000 - 84000) = 564000 : 660000 : 876000 = 564 : 660 : 876 The share of C, = \(\frac{876 × 672000}{2100}\) = 280320 |