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₹ 600 is divided among A, B and C. ₹ 40 more than (2/5)th of A’ share, ₹ 20 more than (2/7)th of B’s share and ₹ 10 more than (9/17)th of C’s share are all equal. Then A’s share is
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- ₹ 150
- ₹ 170
- ₹ 280
- ₹ 140
Correct Option: A
According to the question,
A + B + C = 600 .... (i)
and
| + 40 = | + 20 | = | + 10 | |||
| 5 | 7 | 17 |
| ∴ | + 40 = | + 20 | ||
| 5 | 7 |
| = | + 20 = | B | ||
| 5 | 7 |
| ∴ B = |  | + 20 |  | = | + 70 | |||
| 2 | 5 | 5 |
| Again, | + 40 = | + 10 | ||
| 5 | 17 |
| ⇒ | = | + 30 | ||
| 17 | 5 |
| ⇒ C = | | + 30 | | ||
| 9 | 5 |
| = | + | ||
| 45 | 3 |
| ∴ A + | + 70 = | + | = 600 | |||
| 5 | 45 | 3 |
| ⇒ A + | + | = 600 − 70 − | |||
| 5 | 45 | 3 |
| ⇒ | |
| 45 |
| = 530 − | |
| 3 |
| ⇒ | = | = | |||
| 45 | 3 | 3 |
| ⇒ A = | × | ||
| 3 | 142 |
= Rs. 150
