Question : A sum of Rs. 770 has been divided among A, B and C so that A receives $\frac{2}{9}$th of what B and C together receive. Then A's share is:
Option 1: Rs. 140
Option 2: Rs. 154
Option 3: Rs. 165
Option 4: Rs. 170
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Correct Answer: Rs. 140
Solution :
Given: A sum of Rs. 770 has been divided among A, B and C so that A receives $\frac{2}{9}$th of what B and C together receive.
The ratio of A's share to the combined shares of B and C is 2 : 9.
So, A's share = $\frac{2}{2+9}\times 770 = 140$
Hence, the correct answer is Rs. 140.
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