Question

In which of the following quarters is the profit the maximum?

• A. Fourth
• B. First
• C. Second
• D. Third
• A. 4,43,59,500
• B. 1,49,17,500
• C. 2,45,87,500
• D. 3,15,46,500
• A. y = 2x
• B. x \(>\) y
• C. x = y
• D. x \(<\) y
• A. 68,86,500
• B. 86,62,500
• C. 92,78,500
• D. 72,45,500

Answer 1

The Correct Option is B

Step 1: Understanding the Question:
The question asks to identify the quarter with the highest profit. This requires calculating the profit for each of the four quarters and then comparing them.
Step 2: Key Formula or Approach:
The profit for each quarter is calculated using the following formula:
Profit = (Total Revenue \(\times\) % Revenue of the quarter) \(\times\) % Profit of that quarter's revenue.
Given Total Revenue = 225 million rupees = 225,000,000.
Step 3: Detailed Explanation:
We will calculate the profit for each quarter:
1st Quarter:
Revenue = 31% of 225,000,000 = 0.31 \(\times\) 225,000,000 = 69,750,000 rupees.
Profit = 25% of 69,750,000 = 0.25 \(\times\) 69,750,000 = 17,437,500 rupees.
2nd Quarter:
Revenue = 35% of 225,000,000 = 0.35 \(\times\) 225,000,000 = 78,750,000 rupees.
Profit = 11% of 78,750,000 = 0.11 \(\times\) 78,750,000 = 8,662,500 rupees.
3rd Quarter:
Revenue = 15% of 225,000,000 = 0.15 \(\times\) 225,000,000 = 33,750,000 rupees.
Profit = 35% of 33,750,000 = 0.35 \(\times\) 33,750,000 = 11,812,500 rupees.
4th Quarter:
Revenue = 19% of 225,000,000 = 0.19 \(\times\) 225,000,000 = 42,750,000 rupees.
Profit = 29% of 42,750,000 = 0.29 \(\times\) 42,750,000 = 12,397,500 rupees.
Comparing the profits:
1st Qtr: 17,437,500
2nd Qtr: 8,662,500
3rd Qtr: 11,812,500
4th Qtr: 12,397,500
The highest profit is in the 1st quarter.
Step 4: Final Answer:
The profit is maximum in the first quarter.

Answer 2

Step 1: Understanding the Question:
The question asks for the average profit generated in the first and fourth quarters.
Step 2: Key Formula or Approach:
Average Profit = \(\frac{\text{Profit of 1st Quarter} + \text{Profit of 4th Quarter}}{2}\).
Step 3: Detailed Explanation:
From the solution of the previous question, we have the profits for the 1st and 4th quarters:
Profit of 1st Quarter = 17,437,500 rupees.
Profit of 4th Quarter = 12,397,500 rupees.
Now, we calculate the sum of these profits:
\[ \text{Sum of Profits} = 17,437,500 + 12,397,500 = 29,835,000 \text{ rupees} \] Next, we find the average:
\[ \text{Average Profit} = \frac{29,835,000}{2} = 14,917,500 \text{ rupees} \] Step 4: Final Answer:
The average profit of the 1st and 4th quarters is 1,49,17,500 rupees.

Answer 3

Step 1: Understanding the Question:
The question asks us to compare the sum of profits for the first half of the year (1st and 2nd quarters) with the sum of profits for the second half of the year (3rd and 4th quarters).
Step 2: Key Formula or Approach:
Calculate the value of x by summing the profits of the 1st and 2nd quarters.
Calculate the value of y by summing the profits of the 3rd and 4th quarters.
Compare the values of x and y.
Step 3: Detailed Explanation:
Using the profit values calculated in the first question:
Profit (1st Qtr) = 17,437,500 rupees.
Profit (2nd Qtr) = 8,662,500 rupees.
Profit (3rd Qtr) = 11,812,500 rupees.
Profit (4th Qtr) = 12,397,500 rupees.
Calculate x:
\[ x = \text{Profit (1st Qtr)} + \text{Profit (2nd Qtr)} \] \[ x = 17,437,500 + 8,662,500 = 26,100,000 \text{ rupees} \] Calculate y:
\[ y = \text{Profit (3rd Qtr)} + \text{Profit (4th Qtr)} \] \[ y = 11,812,500 + 12,397,500 = 24,210,000 \text{ rupees} \] Compare x and y:
\[ 26,100,000>24,210,000 \] Therefore, x > y.
Step 4: Final Answer:
The correct relation is x > y.

Answer 4

Step 1: Understanding the Question:
The question specifically asks for the profit amount, in rupees, for the 2nd quarter of 2020.
Step 2: Key Formula or Approach:
Profit for 2nd Quarter = (Total Revenue \(\times\) % Revenue of 2nd quarter) \(\times\) % Profit of 2nd quarter's revenue.
Given Total Revenue = 225,000,000 rupees.
From Chart 1, 2nd quarter revenue is 35%.
From Chart 2, 2nd quarter profit is 11% of its revenue.
Step 3: Detailed Explanation:
This value was already calculated as part of the solution for Question 1. We will show the calculation again.
First, calculate the revenue for the 2nd quarter:
\[ \text{Revenue (2nd Qtr)} = 35% \text{ of } 225,000,000 \] \[ \text{Revenue (2nd Qtr)} = 0.35 \times 225,000,000 = 78,750,000 \text{ rupees} \] Next, calculate the profit for the 2nd quarter, which is 11% of its revenue:
\[ \text{Profit (2nd Qtr)} = 11% \text{ of } 78,750,000 \] \[ \text{Profit (2nd Qtr)} = 0.11 \times 78,750,000 = 8,662,500 \text{ rupees} \] Step 4: Final Answer:
The profit of the company in the 2nd quarter is 86,62,500 rupees.