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Question
Siddhartha has earned an average of 4200 dollars for the first eleven months of the year. If he justifies his staying in the US on the basis of his ability to earn at least 5000 dollars per month for the entire year, how much should he earn (in dollars) in the last month to achieve his required average for the whole year?
Siddhartha has earned an average of 4200 dollars for the first eleven months of the year. If he justifies his staying in the US on the basis of his ability to earn at least 5000 dollars per month for the entire year, how much should he earn (in dollars) in the last month to achieve his required average for the whole year?
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Solution
The correct option is D 13,800
Increase in average = 5000 - 4200 = 800
So, extra earning needed = 800×12=Rs.9600
∴ Earning in the last month = 4200 + 9600 = Rs. 13800
Alternate Approach:
His earning in the 12th month should be: 5000×12 − 4200×11=60000 − 46200=13800.
Increase in average = 5000 - 4200 = 800
So, extra earning needed = 800×12=Rs.9600
∴ Earning in the last month = 4200 + 9600 = Rs. 13800
Alternate Approach:
His earning in the 12th month should be: 5000×12 − 4200×11=60000 − 46200=13800.
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