If ₹ 1066 are divided among $A, B, C$ and $D$ such that $A : B = 3 : 4, B : C = 5 : 6$ and $C : D = 7 : 5$, who will get the maximum?

### Concept & Combined Ratios To compare shares across multiple distinct ratios, they must first be synthesized into a single continuous combined ratio by finding a common multiple for the overlapping elements. ### Step-by-Step Solution Given: * $A:B = 3:4$ * $B:C = 5:6$ * $C:D = 7:5$ 1. Combine the ratios using the standard multiplication method for four variables: $A = 3 \times 5 \times 7 = 105$ $B = 4 \times 5 \times 7 = 140$ $C = 4 \times 6 \times 7 = 168$ $D = 4 \times 6 \times 5 = 120$ 2. The combined ratio $A:B:C:D$ is $105 : 140 : 168 : 120$. 3. The maximum share corresponds to the largest number in the combined ratio. 4. Comparing the parts: $168$ is the largest value. 5. $168$ corresponds to $C$. ### Exam Strategy & Shortcut You do not need to calculate the actual monetary shares. The question only asks *who* gets the maximum. Once you establish the unified ratio parts ($105, 140, 168, 120$), you immediately know $C$ has the largest proportion. ### Common Pitfall Wasting valuable time calculating the exact monetary value for each person by dividing ₹ 1066 by the total ratio sum, when simply comparing the ratio units is sufficient. ### Final Answer Therefore, the correct answer is **$C$**.