Partnership Q59

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

[A] 5 : 7 : 8

[C] 38 : 28 : 21

[B] 28 : 49 : 64

[D] None of these

Answer : [D]
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 70x = 40y  y = 7 4 x.

And, 14x 7z = 5 8 112x = 35z  z = 112 35  x = 16 5  x.

x : y : z = x : 7 4  x : 16 5  x = 20 : 35 : 64.