A, B and C entered into a partnership by making investment

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A, B and C entered into a partnership by making investment in the ratio 3 : 5 : 7. After a year C invests another Rs. 337600 while A withdraws Rs. 45600. The ratio of investments then changes to 14 : 29 : 167. How much did A invest initially ?

1. Rs. 233364.71
2. Rs. 9600
3. Rs. 141600
4. 233374.72

Correct Option: A

Let the initial investment of A, B, C be Rs. 3k, Rs. 5k and Rs. 7k respectivily.
Then, (3k - 45600) : 5k : (7k + 337600) = 14 : 59 : 167
⇒ (3k - 45600) / 5k = 14 / 29
⇒ k = 77788.24
∴ A investment initially Rs. (77788.24 x 3) = Rs. 233364.71