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A man loses $\frac{1}{3}$ of money in first round,$\frac{3}{5}$ of remaining in second,$\frac{4}{7}$ of remaining in third.Find the amount he is left with.

 Aug 23, 2021
 #1
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He was left with 16 / 105

 Aug 23, 2021
 #3
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I made an error...cheeky

 

1st round          1 - 1/3 = 2/3 (left)

 

2nd round         [(2/3) / 5] * 2 = 4/15 (left)

 

3rd round           [(4/15) / 7] * 3 = 12 / 105 (left) smiley

Guest Aug 23, 2021
 #2
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after round one he has 1-1/3 = 2/3 left

 

after second round he has  2/3 -  3/5*2/3 = 2/3(1-3/5) = 2/3*  2/5 =  4/15

 

So what does he have after the next round?

 Aug 23, 2021
edited by Melody  Aug 23, 2021

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