Latest CAT Aptitude Question SOLUTION: Three waitresses, Julie, Alice, and Tina, put all their tips in one jar. Julie went home first and took 1/3 of the money as her share. Alice, not knowing that Julie had taken her s

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(#M40038506) CAT Category question Keep an EYE

Three waitresses, Julie, Alice, and Tina, put all their tips in one jar. Julie went home first and took 1/3 of the money as her share. Alice, not knowing that Julie had taken her share, took 1/3 of what was there as her share. Tina, unaware that the others had already taken what they thought were their shares, took 1/3 of the remaining money. There was $8.00 left in the jar. How much did the waitresses have in tips in the beginning?
Choose one answer.
a. $ 18.00
b. $ 21.00
c. $ 27.00
d. $ 32.00

Asked In CAT harika sharma (10 years ago)

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abhishek  (10 years ago)

let the original amount be x.
then first julie takes 1/3 of x amount left is=2/3 of x=2/3x
then alice takes 1/3 of 2/3x, amount left over is 2/3 of 2/3x = 4/9x
then tina takes 1/3 of 4/9x, amount left is 4/9x*2/3= 8/27x which is given to be 8,
so 8/27x=8,,that gives x=27..which was the original amount..

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SDD  (10 years ago)

Answer = $27, Julia took $9 so remaining $18. Then Alice took $6 so remaining $12. Then, finally Tina took $4. So, remaining $8 at the end.

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Devendra Marghade  (10 years ago)

c.$ 27.00

If tips in the beginning=x $
Julie took (1/3)*x ,remaining=2x/3
Alice took (1/3)(2x/3)=2x/9, remaining=4x/9
Tina took (1/3)(4x/9)=4x/27, remaining=8x/27
As remaining amount=$8= 8x/27, x=27

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mnsai  (10 years ago)

initially 27
1/3=9 taken by julie
18remaining
1/3=6 taken by alice
remaining=12
1/3=4 taken by tina
remaining =8

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Chirag Ranjan Lahiri  (10 years ago)

c.$ 27.00 is the answer.

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