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₹ 3,000 is divided between A, B and C, so that A receives 1/3 as much as B and C together receive and B receives 2/3 as much as A and C together receive. Then the share of C is
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- ₹ 600
- ₹ 525
- ₹ 1,625
- ₹ 1,050
Correct Option: D
| A = | (B + C) | |
| 3 |
⇒ 3A = B + C...(i)
| B = | (A + C) | |
| 3 |
⇒ 3B = 2A + 2C ...(ii)
From equation (i),
3A = B + C
⇒ 9A = 3B + 3C
⇒ 9A = 2A + 2C + 3C
⇒ 7A = 5C ...(iii)
From equation (ii),
| 3B = 2 |  |  | + 2C | |
| 7 |
⇒ 21B = 10C + 14C
⇒ 21B = 24C
⇒ 7B = 8C ...(iv)
From equations (iii) and (iv),
| C = | = | ||
| 5 | 8 |
| ∴ | = | = | |||
| 5 | 8 | 7 |
| C’s share = | × 3000 | |
| (5 + 8 + 7) |
| = ₹ | | × 3000 | | = ₹ 1050 | |
| 20 |
