The average revenues of 7 consecutive years of a company is Rs. 75 lakhs. If the average of first 4 years is Rs. 70 lakhs and that of last 4 years is Rs. 82 lakhs, what will be the revenue for the 4th year?
Question
The average revenues of 7 consecutive years of a company is Rs. 75 lakhs. If the average of first 4 years is Rs. 70 lakhs and that of last 4 years is Rs. 82 lakhs, what will be the revenue for the 4th year?
Solution
To solve this problem, we need to use the information given about averages.
Step 1: Calculate the total revenue for 7 years The average revenue for 7 years is Rs. 75 lakhs, so the total revenue for these 7 years is 75 lakhs * 7 = Rs. 525 lakhs.
Step 2: Calculate the total revenue for the first 4 years The average revenue for the first 4 years is Rs. 70 lakhs, so the total revenue for these 4 years is 70 lakhs * 4 = Rs. 280 lakhs.
Step 3: Calculate the total revenue for the last 4 years The average revenue for the last 4 years is Rs. 82 lakhs, so the total revenue for these 4 years is 82 lakhs * 4 = Rs. 328 lakhs.
Step 4: Find the revenue for the 4th year The 4th year is included in both the first 4 years and the last 4 years. So, to find the revenue for the 4th year, we add the total revenue for the first 4 years and the last 4 years, and then subtract the total revenue for the 7 years.
So, the revenue for the 4th year is (280 lakhs + 328 lakhs) - 525 lakhs = Rs. 83 lakhs.
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