Q. 105.0( 1 Vote )
A gardener wanted to reward a boy for his good deeds by giving some mangoes. He gave the boy two choices. He could either have 1000 mangoes at once or he could get 1 mango on the first day, 2 on the second day, 4 on the third day, 8 mangoes on the fourth day and so on for ten days. Which option should the boy choose to get the maximum number of mangoes?
In the second option,
Number of mangoes on first day = 1
Number of times of mangoes on subsequent day = 2
Number of days = 10
a = 1, r = 2, n = 10
Sum of n terms =
⇒ Sum of 10 terms =
⇒ Sum of 10 terms = = 1023
Therefore, the boy will get more mangoes in 2nd case as there were only 1000 mangoes in the 1st case.
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