Chintu was very fond of orange juice and so he secretly took out a bottle containing 330 ml of orange juice from the fridge. In the first minute, he consumed half the contnets in the bottle. In the
part of the remaining contents in the bottle in the nth minute,
second minute, he consumed one-third of the contents remaining in the bottle, and in this manner he continued to consume
1
(n+1)
How many ml of orange juice was remaining in the bottle after 10 minutes?
Answers
Given : Chintu was very fond of orange juice and so he secretly took out a bottle containing 330 ml of orange juice from the fridge. In the first minute, he consumed half the contnets in the bottle. In the part of the remaining content he consumed 1/(n+1) in nth minute
To Find : How many ml of orange juice was remaining in the bottle after 10 minutes?
Solution:
Consumed in 1st minute 330/2
Remaining after 1st minutes = 330/2
Consumed in 2nd minute (330/2 )/(1/3)
1 - 1/3 = 2/3
Remaining after 2nd minute = (330/2 )/(2/3) = (330/3)
Consumed in 3rd minute (330/3 )/(1/4)
1 - 1/4 = 3/4
Remaining after 3rd minute= (330/3 )/(3/4) = (330/4)
Remaining after n minutes = (330/(n + 1)
Hence remained after 10 minutes = 330/(10 + 1)
= 330/11
= 30 ml
orange juice remaining in the bottle after 10 minutes = 30 ml
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