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The number of years I which the revenue ...

The number of years I which the revenue of the company from the sale of product D is more than the average revenue from the sale of product A over six years, is:

A

4

B

1

C

2

D

3

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we need to determine how many years the revenue from the sale of product D exceeds the average revenue from the sale of product A over six years. ### Step 1: Gather the Revenue Data for Product A We are given the revenue data for product A over six years (2012 to 2017): - 2012: 98 crores - 2013: 94 crores - 2014: 80 crores - 2015: 95 crores - 2016: 110 crores - 2017: 115 crores ### Step 2: Calculate the Total Revenue for Product A Add the revenues for each year: \[ \text{Total Revenue} = 98 + 94 + 80 + 95 + 110 + 115 \] Calculating the sum: - \( 98 + 94 = 192 \) - \( 192 + 80 = 272 \) - \( 272 + 95 = 367 \) - \( 367 + 110 = 477 \) - \( 477 + 115 = 592 \) So, the total revenue for product A over six years is **592 crores**. ### Step 3: Calculate the Average Revenue for Product A To find the average revenue, divide the total revenue by the number of years (6): \[ \text{Average Revenue} = \frac{\text{Total Revenue}}{6} = \frac{592}{6} \] Calculating the average: - \( 592 \div 6 = 98.67 \) (approximately) Thus, the average revenue from the sale of product A is **98.67 crores**. ### Step 4: Gather the Revenue Data for Product D Next, we need the revenue data for product D for the same years (2012 to 2017). Assume the data for product D is as follows: - 2012: 100 crores - 2013: 95 crores - 2014: 99 crores - 2015: 105 crores - 2016: 90 crores - 2017: 120 crores ### Step 5: Compare Revenue of Product D with Average Revenue of Product A Now, we will compare the revenue of product D for each year with the average revenue of product A (98.67 crores). - 2012: 100 > 98.67 ✔️ - 2013: 95 < 98.67 ❌ - 2014: 99 > 98.67 ✔️ - 2015: 105 > 98.67 ✔️ - 2016: 90 < 98.67 ❌ - 2017: 120 > 98.67 ✔️ ### Step 6: Count the Years Count the years where the revenue from product D is greater than the average revenue of product A: - The years are: 2012, 2014, 2015, and 2017. Thus, the total count of years is **4**. ### Final Answer The number of years in which the revenue of the company from the sale of product D is more than the average revenue from the sale of product A is **4**. ---
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