Question

Question 02.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. (a) 5 : 7 : 8
• B. (b) 20 : 49 : 64
• C. (c) 38 : 28 : 21
• D. (d) None of these

Answer 1

The correct option is B

(b) 20 : 49 : 64

Answer 02. (b)
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 =49/20x

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

x : y : z = x :49/20x:16/5x= 20 : 49 : 64.