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in Mathematics by (52.4k points)

Aman receives a pension starting with Rs.1000 for the first year. Each year he receives 80% of what he received the previous year. Find the maximum total amount he can receive even if he lives forever. 

(a) 4000 

(b) 5000 

(c) 1500 

(d) 4900

1 Answer

+1 vote
by (48.5k points)
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Best answer

Correct option (b) 5000

Explanation:

We need to find the infinite sum of the GP: 1000, 800, 640….. (first term = 1000 and common ratio = 0.8) We get: infinite sum of the series as 1000/ (1 − 0.8) = 5000, 

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