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₹ 600 are divided among A, B and C so that ₹ 40 more than 2/5 of A’s share, ₹ 20 more than 2/7 of B’s share and ₹ 10 more than 9/17 of C’s share are all equal. A’s share is
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- ₹ 180
- ₹ 160
- ₹ 150
- ₹ 140
Correct Option: C
| A + 40 = | B + 20 | = | C + 10 = x | |||
| 5 | 7 | 17 |
| ∴ A = | (x − 40), B = | (x − 20) and, C = | (x − 10) | |||
| 2 | 2 | 9 |
| ∴ | (x − 40) + | (x − 20) + | (x − 10) = 600 | |||
| 2 | 2 | 9 |
⇒ x = 100
| ∴ A’s share = ₹ | (100 – 40) | |
| 2 |
= ₹ 150
