# Find number of policies sold.An insurance agent gets a base salary of \$250 per week, he also gets an extra \$2 per policy if the number of policies sold is more than 10 and an extra \$1 per policy if...

Find number of policies sold.

An insurance agent gets a base salary of \$250 per week, he also gets an extra \$2 per policy if the number of policies sold is more than 10 and an extra \$1 per policy if the number of policies sold is more than 50. How any policies did he sell if he earned \$450?

william1941 | College Teacher | (Level 3) Valedictorian

Posted on

We are given the base pay is 250. Now out of the total amount earned, 250 was the base pay. Therefore the commission was (450 – 250). Now let’s say the number of policies sold is N. For the first fifty policies, he earns \$2 per policy staring from the 11th. Therefore he earns 40*2 = 80. For the rest of the policies he gets \$3 per policy. Therefore for N-50 he gets \$3 per policy

Now total income is 250 + 80 + (N-50)*3 = 450

=> 250 + 80 + 3N – 150 = 450

=> 3N = 270

=> N = 270/ 3

=> N = 90

Therefore he sold 90 policies.

neela | High School Teacher | (Level 3) Valedictorian

Posted on

Out of \$450 the agent earned , \$250 is his base salary.

So the extra herned is \$(450-250) = \$200.

Therefore the extra \$200 is due to the earning of selling more than 10 policies or more than 50 policies.

So selling more than 10 up to  50 policies the earning he gets = (50-10)*2 = 80 dolars.

But he earned 200 dollars extra.

So he has earned \$(200-80) = \$120 on account selling more than 50 polies. If  he sells more than 50 policies, he earns 3 dollars , ona ccount of exceeding  both 10 and 50 limits.

So the number of policies above he should sell to the extra \$120 = 120/3 = 40.

Thereforee in all he should sell 50+40 = 90 policies to earn \$450.

The components of earnings:

Base earnung = \$250

Extra eanings for 90 policies:

First 10 : nill

11 to 50: 40*2 = \$80

51 to 90 : 40*3 = \$120