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

20:50:4

2:5:4

None

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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