Discussion
If Rs. 1,600 is divided among \(P\) and \(Q\) in the ratio 5 : 3 then \(Q\)'s share is ______.
Answer: B
The total of 5 + 3 = 8 parts is Rs 1,600, so one part is Rs 200. \[Q\text{'s share}=3\times 200=600.\]
Rs 1,000 would be P's share if P had 5 parts, and 900 or 1,200 do not match the 3-part share, so the answer is 600, option B.
As a check, P gets 5 x 200 = Rs 1,000 and Q gets Rs 600, which adds to Rs 1,600 in the ratio 5 : 3.
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