Weight of Al is six times of A2 and A2's weight is 50 percent more than that of A3. If the average weight of all three is 299 kgs, then what is the weight of Al?

Correct option is C

Given:

A1 = 6 $$\times$$​ A2
A2 = 1.5 $$\times$$​A3
Average weight of A1, A2, and A3 = 299 kgs

Solution:

Total weight = 299 $$\times$$​ 3 = 897
Let A3's weight be x, then A2's weight = 1.5 $$\times$$​ x and A1's weight = 6 $$\times$$​ (1.5 $$\times$$​ x) = 9x.
Sum of weights = A1 + A2 + A3 = 9x + 1.5x + x = 11.5x
11.5x = 897
x = 78
A1's weight = 9x = 9 $$\times$$​78 = 702
Thus, A1's weight is 702 kgs.