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Q.
Three partners shared the profit in a business in the ratio 4:6:8. They had partnered for 12 months, 8 months and 6 months respectively. What was the ratio of their investments?
A.
4:6:8
B.
4:7:8
C.
4:8:16
D.
4:9:16
View Answer
Correct choice: D
Explanation:
Let their investments be Rs. x for 12 months, Rs. y for 8 months and Rs. z for 6 months respectively. Then, 12x : 8y : 6z = 4 : 6 : 8 Now, 12x/8y = 4/6 <=> 9x=4y <=> y=9x/4 And, 12x/6z = 4/8 <=> 4x=z <=> z=4x Therefore, x : y: z = x : 9x/4: 4x = 4 : 9 : 16
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