The largest bonus that Felix can receive this year is equal to 20% of

Let the salary be \(x\)

1. The smallest possible bonus that Felix can receive this year is $4800.00

\(4800 = 0.3 * 0.2 * x\)

We can determine the salary using the above equation as only unknown variable is \(x\)

Hence, (1) ===== is SUFFICIENT

2. The difference between the largest and smallest bonus that Felix can receive this year is $11,200.00.

\(11,200 = 0.14 * x\)

We can determine the salary using the above equation as only unknown variable is \(x\)

Hence, (2) ===== is SUFFICIENT

Hence, Answer is D

0.2 * Salary - 0.06 * Salary = 0.14 * Salary
_________________

Official Explanation:

This tells us that $4800 is 30% of 20% of his salary (S), allowing us to calculate Felix's salary. The equation would be 4800 = 0.3 * 0.2 * S, with S as the only variable. Accordingly, statement 1 is sufficient.

Felix's minimum bonus is 30% of 20% of his salary (S), which equals 6% of his salary. Therefore, the difference between this figure (6% of salary) and his maximum bonus (20% of salary) is 14% of his salary. We can therefore set up an equation saying that $11,200 = 14% of his salary. The equation would be 11,200 = 0.14 * S, with S as the only variable. Statement 2 is also sufficient.

Accordingly, since each statement alone is sufficient, the correct answer is D.

the main stem of the Q gives us:-
largest bonus=.2 * annual salary..
smallest bonus=.3 *(0.2*annual salary)..
so to know annual salary, any of the values largest, smallest bonus, or add, difference, ratio etc of the two bonuses is sufficient..
1) it gives the smallest bonus.. suff
2) it gives the difference of two bonuses.. suff
D
_________________

Annual Salary = AS
Largest Bonus : 20/100 x AS
Smallest Bonus : 30/100 x 20/100 x AS
1, 4800 smallest bonus
Sufficient
2, L - S Bonus = 11,200
Sufficient
D

Sorry but where is .14 coming from