Question

Three men entered into a business in partnership for 14 months, 8 months and 7 months. If the ratio of their profit is 5 : 7 : 8, what is the ratio of their investments?

• A. 20 : 49 : 64
• B. 5 : 7 : 8
• C. 5 : 4 : 4
• D. 28 : 49 : 64

Answer 1

Answer:

A. 20 : 49 : 64

Investment×Time=Profit

$I_1×14:I_2×8:I_3×7=5:7:8$

$I_1=\frac{5}{14},I_2=\frac{7}{8},I_3=\frac{8}{7}$

Multiply each term by the LCM of the denominators (14, 8, 7), which is 56:

$(5 \times 4) : (7 \times 7) : (8 \times 8)$

$20:49:64$