Question

The given bar graph represents the monthly profits of Company X. Please answer the question(s) based on the given data.

If the average monthly profit for the entire financial year (April 2019 to March 2020) is 1.5 times that of the first two quarters (April 2019 to September 2019), then what should be the average monthly profit for the next two quarters (October 2019 to March 2020)?

• A. 40,00,000
• B. 60,00,000
• C. 70,00,000
• D. 80,00,000

Answer 1

The Correct Option is D

The average monthly profit for the entire financial year (April 2019 to March 2020) is 1.5 times the average monthly profit for the first two quarters (April 2019 to September 2019).

We need to find the average monthly profit for the next two quarters (October 2019 to March 2020).

Step 1: Compute the Average Monthly Profit for the First Two Quarters

From the given bar graph, the monthly profits from April to September are:

\[ 20, -20, 55, 95, 70, 20 \]

Summing them up:

\[ 20 + (-20) + 55 + 95 + 70 + 20 = 240 \text{ (in lakhs)} \]

The number of months in the first two quarters is:

\[ 6 \]

Thus, the average monthly profit for the first two quarters is:

\[ \frac{240}{6} = 40 \text{ lakhs} \]

Step 2: Compute the Average Monthly Profit for the Entire Year

We are given that:

\[ \text{Overall Average Monthly Profit} = 1.5 \times 40 \]

\[ = 60 \text{ lakhs} \]

Step 3: Compute the Average Monthly Profit for the Next Two Quarters

Let the total profit for the next two quarters (October 2019 to March 2020) be \( S \). The total profit for the entire year is:

\[ 240 + S \]

Since the average monthly profit for the entire year is 60 lakhs:

\[ \frac{240 + S}{12} = 60 \]

Multiplying both sides by 12:

\[ 240 + S = 720 \]

\[ S = 480 \text{ lakhs} \]

Since the next two quarters consist of 6 months, the average monthly profit for this period is:

\[ \frac{480}{6} = 80 \text{ lakhs} \]

Final Answer:

Option (D) ₹80,00,000