Question

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:

In how many years is the sales of product X higher than 45 percent of the average sales of product Y?

• A. 5
• B. 4
• C. 6
• D. 3

Hint:

Find 45 percent of the average Y sales, then count how many years X beats that number.

Answer 1

The Correct Option is B

Step 1: Average sales of Y = \( \dfrac{55790+65770+67060+75070+85060+90300}{6} = 73175 \) kg.
Step 2: 45 percent of this average = \( 0.45 \times 73175 = 32928.75 \) kg.
Step 3: Compare X in each year with 32928.75: 2015 (23230, no), 2016 (32230, no), 2017 (33450, yes), 2018 (40020, yes), 2019 (45040, yes), 2020 (50220, yes).
Step 4: X exceeds the threshold in 4 years, which matches option 2.