Question

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

A) 5:7:8
B) 38:28:21
C) 14:8:7
D) 20:49:64

please answer in full explanation

Answer 1

HELLO FRIEND UR ANSWER IS OPTION D

let their investment be rupees x for 14 months , rs Y for 8 months and rupees z for 7 months respectively.

Then, 14x : 8y : 7z = 5 : 7 : 8.
Now, 14x/8y = 5/7 ⇒ 98x = 40y 
⇒ y = 49x/20 
And, 14x/7z = 5/8 
⇒ 112x = 35z 
⇒ z = 112x/35 = 16x/5 
So x : y : z = x : 49x/20 : 16x/5 ---- (Multiple by 20)
⇒ 20 : 49 : 64.

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