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: Understanding the Question:
The worth of leftover for cakes/pastries/gateaux in any year is found from the table as leftover % of sales for that year, multiplied by sales for that year. We need the pair of consecutive years where this rupee value falls by the largest amount.

Step 2: Key Formula or Approach:
\[ \text{Worth of leftover} = \frac{\text{Leftover \% of sales}}{100} \times \text{Sales (Rs. lac)} \]
Compute this figure for cakes/pastries/gateaux for every year in the table, then take the difference between each year and the year before it.

Step 3: Detailed Explanation:
Sales for cakes/pastries/gateaux climb every year through the table, so the leftover percentage is what decides whether the rupee leftover rises or falls from one year to the next. Reading the leftover percentage column, most year to year moves are small, a percentage point or less, so the rupee change tracks the sales change fairly closely in those years. Between 1998 and 1999, however, the leftover percentage drops by more than it does in any other single year, at the same time that sales are already at a high level, so the rupee fall in leftover worth between these two years is bigger than the fall between any other consecutive pair in the table, including 1995 to 1996 and 1997 to 1998.

Step 4: Final Answer:
Checking every consecutive pair confirms 1998 to 1999 gives the sharpest single year drop in leftover worth for cakes/pastries/gateaux, ruling out option (D) as well, since the worth clearly falls in some years rather than always rising.
\[ \boxed{\text{1998 to 1999}} \]