I worked out 'a' to be £13780, which is correct, but i am stuck on 'b' , i looked at the answer and working but is does not make sense to me can someone please explain why =A salesman is paid commission of £10 per week for each life insurance policy that he has sold. Each week he sells one new policy so that he is paid £10 commission in the first week, £20 commission in the second week, £30 commission in the third week and so on.
(a) Find his total commission in the first year of 52 weeks.
(b) In the second year the commission increases to £11 per week on new policies sold, although it remains at £10 per week for policies sold in the first year. He continues to sell one policy per week. Show that he is paid £542 in the second week of his second year.
(c) Find the total commission paid to him in the second year.
(b) Commission = policies for year 1 + policies for 2nd week of year 2 =520+22=£542 this is the answer given at the back of my book.
if worked out the total commission of the first year to be £13780 , than should it not be 13780+22?
where did they get 520 from ?
Lets see it together
1- No. of weeks in first year = 52
2-So no. of policies in 1st year(every week new one) = 52
3-Commision for those in first year 10$ per week
4- No. of weeks in Second year = 2
5-No of policies for it = 2
6-Commision for these 2 weeks was 11 $ per week
Incase if you have trouble in any step(s) tell the step number(s)
We are concerned with the commision earned in 2nd week ONLY
Now for this particular week(2nd week),The commission
= Commision from policies of 1st year + Commision from the policies of 1st and 2nd week of 2nd year
= No. of policies of first year * 10 + No. of policies of second year * 11
= 52 * 10 + 2 * 11 = 542