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?

Answer :


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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