A sum of money is distributed among Amit, Bharat and Chetan in the ratio of 5 : 7 : 9. If the share of Bharat is ₹490 less than the combined share of Amit and Chetan, then what is the total sum of money distributed among them?
₹1470
Let the shares of Amit, Bharat and Chetan be 5k, 7k and 9k.
Combined share of Amit and Chetan = 5k + 9k = 14k, and 14k – 7k = 7k = ₹490, so k = 70.
Total sum = (5 + 7 + 9)k = 21 × 70 = ₹1470.
Check: the shares are ₹350, ₹490 and ₹630; Amit + Chetan = ₹980, and 980 – 490 = ₹490, as stated.
Hence, ₹1470.
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