Problema Solution

Over the last three years, Salesperson A has earned twice as much as Salesperson B, who in turn has averaged 50% more than Salesperson C. The three combined to make $220,000 over the three years. How much did Salesperson B earn on average in any year?

Answer provided by our tutors

A=2B

B=1.5C OR C=B/1.5

A+B+C=220,000

2B+B+B/1.5=220,000

3B+B/1.5=220,000

(3B*1.5+B)/1.5=220,000

(4.5B+B)/1.5=220,000

5.5B/1.2=220,000 CROSS MULTIPLY


 

5.5B=220,000*1,5

5.5B=330,000

B=330,000/5.5

B=$60,000 WAS B'S SALARY OVER 3 YEARS..

A=2*60,000=$120,000 WAS A'S SALARY.

C=60,000/1.5=$40,000 WAS C'S SALARY.

PROOF:

60,000+120,000+40,000=220,000

220,000=220,000

B'S AVERAGE YEARLY SALARY WAS 60,000/3=$20,000 ANS.