the ANSWER TO THIS QUESTION IS NOT IMPORTANT,

**THE WAY**YOU SOLVE THIS PROBLEM MATTERS.anyway...READ WHAT FOLLOWS ONLY AFTER YOU SOLVE THIS PROBLEM YOURSELF...

now,

consider a ratio p/q, p<q, p>0,q>0.

addition of a POSITIVE constant,say m, to the numerator(N) and to the denominator(D) gives a ratio greater or lesser than the ratio we started with?

possible approaches:

1)subtract one ratio from the other and see if the result is positive or not.(NOT GOOD)

2)MY APPROACH: I WILL USE AN EXAMPLE TO ILLUSTRATE IT:

SYSTEM X SYSTEM Z

6/7 ? 11/12. (=(6+5)/(7+5))

observe that N-D is 1 for both the ratios.

so,for system z we get a HIGHER OUTPUT for the COMMON LOSS OF 1.

hence system z is better,HENCE 11/12 > 6/7.

answer to the main problem: for a service charge of 9, offer 'b' is better than offer 'a'.

ANOTHER ONE THAT I SAW IN DAILY LIFE:

i want to photocopy 32 pages. each page costs 0.75. how much do i have to pay.YOU DONT HAVE TO THINK MUCH.

0.75 is 3/4. and (3/4) * 32 is 24.

MORAL OF THE STORY: THE SOLUTION TO A PROBLEM DEPENDS ON HOW YOU LOOK AT IT.please comment on my article. add any similar problems if you can...i will be very grateful if you do so.

THANK YOU FOR READING PATIENTLY...god bless us all...