A man invested \(\frac{1}{3}\) of his income at 7% simple interest, \(\frac{1}{4}\) of his income at 8% simple interest, and the remainder of his income at 10% simple interest. If the total interest at the end of one year was ₹561, what was his initial income?

1
₹4,500
2
₹6,600
3
₹7,500
4
₹3,000

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