Three friends invested in a business in some ratio They had partnered for 14 months 8 months and 7 m...........

Quantitative Aptitude(IBPS CL) Partnership

Three friends invested in a business in some ratio. They had partnered for 14 months, 8 months and 7 months respectively.If they shared the profit in a business in the ratio 5 : 7 : 8. What was the ratio of their investments?

5:7:8

2:5:4

7:8:6

None of these

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Explanation:

Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively.
Then, 14x : 8y : 7z = 5 : 7 : 8.
Now, 14x/8y = 5/7
=> 98x = 40y
=> y = 49 x/20
And, 14x / 7z= 5/8
=> 112x = 35z
=> z = 112 x/35 = 16 x/5
=> x : y : z = x : 49 x/20 : 16 x/5
= 20 : 49 : 64.

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