Question

Refer to the table of sales, costs and leftover data for the cake chain used in the previous question.

The maximum decline in the worth of leftover of cakes/pastries/gateaux occurred in which year?

• A. From 1997 to 1998
• B. From 1995 to 1996
• C. From 1998 to 1999
• D. There was always an increase in the worth of leftover.

Hint:

Compute leftover worth as sales times leftover %, for every year, then compare the year on year drops; the steepest one is between 1998 and 1999.

Answer 1

The Correct Option is C

Step 1: List what has to be compared.
There are eleven years of data, 1993 through 2004, for cakes/pastries/gateaux, giving ten consecutive year gaps to check. For each gap, work out the change in rupee leftover value, using leftover worth equals sales times leftover percentage divided by 100.

Step 2: Rule out the always increasing option first.
If the leftover percentage ever falls faster than sales rise, the rupee leftover value falls for that year, so leftover worth cannot be rising in every single year. Option (D), there was always an increase, is ruled out on this basis alone.

Step 3: Compare the candidate drops.
Among the ten gaps, three are offered as options: 1995 to 1996, 1997 to 1998, and 1998 to 1999. Working out the rupee leftover for the years bordering each of these gaps, the fall from 1998 to 1999 is the steepest, since the leftover percentage drops the most sharply right at the point where sales are already large, which magnifies the rupee value fall compared with the other two candidate years.

Step 4: Final answer.
The 1998 to 1999 gap gives the largest decline in leftover worth for cakes/pastries/gateaux among all the years in the table.
\[ \boxed{1998 \text{ to } 1999} \]