The average revenues of 9 consecutive years of a company is Rs. 68 lakhs. If the average of the first 5 years is Rs. 63 lakhs and that of the last 5 years is Rs. 75 lakhs, find the revenue for the 5th year.
- ARs. 80 lakhs
- BRs. 76 lakhs
- CRs. 78 lakhs
- DRs. 74 lakhs
Solution & Step-by-step Explanation
Total revenue for 9 years=9×68=612 lakhs
Total revenue for the first 5 years=5×63=315 lakhs
Total revenue for the last 5 years=5×75=375 lakhs
Summing the first 5 years and last 5 years counts the 5th year twice:
Sum of (First 5 + Last 5)=315+375=690 lakhs
Therefore, the revenue of the 5th year is:
Revenue of 5th year=Sum of 10 elements−Total revenue of 9 years
Revenue of 5th year=690−612=78 lakhs
Total revenue for the first 5 years=5×63=315 lakhs
Total revenue for the last 5 years=5×75=375 lakhs
Summing the first 5 years and last 5 years counts the 5th year twice:
Sum of (First 5 + Last 5)=315+375=690 lakhs
Therefore, the revenue of the 5th year is:
Revenue of 5th year=Sum of 10 elements−Total revenue of 9 years
Revenue of 5th year=690−612=78 lakhs