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platinum credit card

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by alivapriyada » Tue Sep 14, 2010 1:35 pm
Sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. Currently, she has a balance on her gold card that is 1/3 of the spending limit on that card, and she has a balance on her platinum card that is 1/5 of the spending limit on that card. If Sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent?

A. 11/30
B. 29/60
C. 17/30
D. 19/30
E. 11/15
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Source: — Problem Solving |

by goyalsau » Tue Sep 14, 2010 2:27 pm
alivapriyada wrote:Sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. Currently, she has a balance on her gold card that is 1/3 of the spending limit on that card, and she has a balance on her platinum card that is 1/5 of the spending limit on that card. If Sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent?

A. 11/30
B. 29/60
C. 17/30
D. 19/30
E. 11/15
For me its E,
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by diebeatsthegmat » Tue Sep 14, 2010 7:33 pm
alivapriyada wrote:Sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. Currently, she has a balance on her gold card that is 1/3 of the spending limit on that card, and she has a balance on her platinum card that is 1/5 of the spending limit on that card. If Sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent?

A. 11/30
B. 29/60
C. 17/30
D. 19/30
E. 11/15
gold credit card =G and platinium card is P
spending limit of G=G >>> 1/3G
spending limit of P=2G >>>2*1/5=2/5
total G+P=1/3+2/5=11/15(G)
because P=2G so G=p/2 thus it will be 11/15/3=11/30 for P
so the final limit=1-11/30=19/30
the correct answer is D
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by diebeatsthegmat » Tue Sep 14, 2010 7:37 pm
goyalsau wrote:
alivapriyada wrote:Sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. Currently, she has a balance on her gold card that is 1/3 of the spending limit on that card, and she has a balance on her platinum card that is 1/5 of the spending limit on that card. If Sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent?

A. 11/30
B. 29/60
C. 17/30
D. 19/30
E. 11/15
For me its E,
you misunderstood P and G
11/15 is just the limit of G you must divided it by 2 to get the limit of platinum
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by goyalsau » Tue Sep 14, 2010 10:55 pm
diebeatsthegmat wrote:
alivapriyada wrote:Sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. Currently, she has a balance on her gold card that is 1/3 of the spending limit on that card, and she has a balance on her platinum card that is 1/5 of the spending limit on that card. If Sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent?

A. 11/30
B. 29/60
C. 17/30
D. 19/30
E. 11/15
gold credit card =G and platinium card is P
spending limit of G=G >>> 1/3G
spending limit of P=2G >>>2*1/5=2/5
total G+P=1/3+2/5=11/15(G)
because P=2G so G=p/2 thus it will be 11/15/3=11/30 for P
so the final limit=1-11/30=19/30
the correct answer is D
Thanks for work "diebeatsthegmat"
but i just have a question , in the last statement it says.
what portion of her limit on the platinum card will remain unspent?

what it means according to me that how much more money she can spent on her p credit card
as you calculated very correctly its
total G+P=1/3+2/5=11/15(G)
because P=2G so G=p/2 thus it will be 11/15/3=11/30 for P


but then if we subtract it from 1 then the portion will be money that she already spent from this new balance.
this is what i feel, please share your view on this.
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by alivapriyada » Wed Sep 15, 2010 12:15 am
OA is D.
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by goyalsau » Wed Sep 15, 2010 12:29 am
Can you please explain my doubt
that i post .
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by alivapriyada » Wed Sep 15, 2010 2:11 am
goyalsau wrote:Can you please explain my doubt
that i post .
let x represent the spending limit on her platinum card:

(1/5)x + (1/3)(1/2)x =
(1/5)x + (1/6)x =
(6/30)x + (5/30)x =
(11/30)x

This leaves 19/30 of her spending limit untouched.

The correct answer is D.
hope it helps.
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by goyalsau » Wed Sep 15, 2010 3:39 am
alivapriyada wrote:Sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. Currently, she has a balance on her gold card that is 1/3 of the spending limit on that card, and she has a balance on her platinum card that is 1/5 of the spending limit on that card. If Sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent?

A. 11/30
B. 29/60
C. 17/30
D. 19/30
E. 11/15
I would to explain it a different way,
look i have 2 cards gold and platinum.
I gold i have have 30 rupee credit limit and in platinum i have 60 rupee credit limit.
If currently i have 10 rupee in my gold card. and 12 rupee in my platinum card now
in total i have 22 rupee in all

what i am saying that 22/60 is the amount the i can spent and and 38/60 is the amount I all ready spent.
which ends up 11/30 and 19/30.

i know i am doing a silly mistake over here please figure that out for me.
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by GMATGuruNY » Wed Sep 15, 2010 3:50 am
alivapriyada wrote:Sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. Currently, she has a balance on her gold card that is 1/3 of the spending limit on that card, and she has a balance on her platinum card that is 1/5 of the spending limit on that card. If Sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent?

A. 11/30
B. 29/60
C. 17/30
D. 19/30
E. 11/15
Easiest approach is to plug in:

Let G = gold, P = platinum.
Let G = 15 and P = 30.
G balance = 1/3 * 15 = 5.
P balance = 1/5 * 30 = 6.
Combined balances = 5+6 = 11.
30-11 = 19 unspent on P.
So 19/30 unspent.

The correct answer is D.
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by goyalsau » Wed Sep 15, 2010 4:18 am
GMATGuruNY wrote:
alivapriyada wrote:Sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. Currently, she has a balance on her gold card that is 1/3 of the spending limit on that card, and she has a balance on her platinum card that is 1/5 of the spending limit on that card. If Sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent?

A. 11/30
B. 29/60
C. 17/30
D. 19/30
E. 11/15
Easiest approach is to plug in:

Let G = gold, P = platinum.
Let G = 15 and P = 30.
G balance = 1/3 * 15 = 5.
P balance = 1/5 * 30 = 6.
Combined balances = 5+6 = 11.
30-11 = 19 unspent on P.
So 19/30 unspent.

The correct answer is D.
Balance is not the remaining balance
is it the difference between the credit limit and money that one already spent.
credit limit is 15
balance is 1/3 means 5
so unspent is 15-5=10
Is it right.
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by alivapriyada » Wed Sep 15, 2010 4:58 am
GMATGuruNY wrote:
alivapriyada wrote:Sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. Currently, she has a balance on her gold card that is 1/3 of the spending limit on that card, and she has a balance on her platinum card that is 1/5 of the spending limit on that card. If Sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent?

A. 11/30
B. 29/60
C. 17/30
D. 19/30
E. 11/15
Easiest approach is to plug in:

Let G = gold, P = platinum.
Let G = 15 and P = 30.
G balance = 1/3 * 15 = 5.
P balance = 1/5 * 30 = 6.
Combined balances = 5+6 = 11.
30-11 = 19 unspent on P.
So 19/30 unspent.

The correct answer is D.

agreed!!!this is the easiest!!
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by sanju09 » Wed Sep 15, 2010 5:18 am
alivapriyada wrote:Sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. Currently, she has a balance on her gold card that is 1/3 of the spending limit on that card, and she has a balance on her platinum card that is 1/5 of the spending limit on that card. If Sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent?

A. 11/30
B. 29/60
C. 17/30
D. 19/30
E. 11/15

If gold card has spending limit of x, then platinum card would have a spending limit of 2 x on it.

Current balance on gold card is x/3 and that on the platinum card is 2 x/5.

Transfer leaves a balance of 2 x/5 + x/3 = 11 x/15 on the platinum card, which is (11 x/15)/ (2 x) = 11/30 of the portion of her limit on the platinum card. Hence, unspent is [spoiler]19/30.



D
[/spoiler]
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by goyalsau » Wed Sep 15, 2010 5:30 am
Guys please answer my query as well..
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by abhigang » Thu Sep 16, 2010 8:17 pm
goyalsau wrote:Guys please answer my query as well..
In US, balance is the amount that has been spent already on the card.

In India, it means the amount available for spending.

Anyone who endorses this explanation?
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