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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