Question:medium

The following graph shows sales data of two products X and Y from 2015 to 2020 in Kgs. Study the graph of sales data carefully and answer the questions given below:
Which of the following has the highest sales difference over the previous year?

Show Hint

Subtract each year's value from the previous year for all four listed options and compare.
  • Product Y in 2016
  • Product X in 2016
  • Product X in 2018
  • Product Y in 2018
Show Solution

The Correct Option is A

Solution and Explanation

Step 1: Instead of computing all four values first, eliminate options by pairwise comparison. Product Y in 2016 gives $65770-55790=9980$ and Product X in 2016 gives $32230-23230=9000$; since $9980 > 9000$, drop Product X in 2016.
Step 2: Product X in 2018 gives $40020-33450=6570$, which is less than $9980$, so drop this option too.
Step 3: Product Y in 2018 gives $75070-67060=8010$, still less than $9980$, so it is dropped as well.
Step 4: The only option surviving every comparison is Product Y in 2016.
\[\boxed{\text{Product Y in 2016}}\]
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