Question : Three partners P, Q, and R share profit such that 4 times P's share is equal to 5 times Q's share and equal to 8 times R's share. What is the ratio of the profits of P, Q, and R respectively?
Option 1: 12 : 8 : 7
Option 2: 10 : 8 : 5
Option 3: 14 : 7 : 9
Option 4: 15 : 9 : 8
Correct Answer: 10 : 8 : 5
Solution :
Given: Three partners P, Q, and R share profit such that 4 times P's share is equal to 5 times Q's share and equal to 8 times R's share.
According to the question,
4P = 5Q = 8R
The ratio of the profits of P, Q, and R respectively = $\frac{1}{4}:\frac{1}{5}:\frac{1}{8}=\frac{40}{4}:\frac{40}{5}:\frac{40}{8}=10:8:5$
Hence, the correct answer is 10 : 8 : 5.
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