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# Amy had \$2400, which comprises of her school fee and her pocket money.

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Amy had \$2400, which comprises of her school fee and her pocket money.  [#permalink]

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Updated on: 24 Dec 2018, 21:45
1
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Difficulty:

45% (medium)

Question Stats:

79% (03:09) correct 21% (03:08) wrong based on 31 sessions

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Amy had \$2400, which comprises of her school fee and her pocket money. The amount was in denominations of \$50, \$100 and \$500 notes. She gave 5 notes at her school fee counter. What is the minimum possible amount that she got as her pocket money if the number of \$500 notes is greater than the number of \$100 notes which in turn was less than the number of \$50 notes?

A. \$250
B. \$300
C. \$350
D. \$400
E. None of these

Originally posted by kiran1213 on 24 Dec 2018, 11:54.
Last edited by chetan2u on 24 Dec 2018, 21:45, edited 1 time in total.
Corrected the OA
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Re: Amy had \$2400, which comprises of her school fee and her pocket money.  [#permalink]

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24 Dec 2018, 21:45
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kiran1213 wrote:
Amy had \$2400, which comprises of her school fee and her pocket money. The amount was in denominations of \$50, \$100 and \$500 notes. She gave 5 notes at her school fee counter. What is the minimum possible amount that she got as her pocket money if the number of \$500 notes is greater than the number of \$100 notes which in turn was less than the number of \$50 notes?

A. \$250
B. \$300
C. \$350
D. \$400
E. None of these

We have to maximize the 500 notes to have minimum pocket money as these 500 notes would be part of 5 notes..
500 notes can be max 4...
Now let us distribute 400 \$.. number of \$50 is more than number of\$100..
4*50 and 2*100 would give us 400..

Thus 4+4+2..
N(500)=N(50)>N(100)...

Let the five consist of 4*500+1*100=2100

Pocket money left is 2400-2100=300..
So Ans is B and not C..

Editing the OA
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Re: Amy had \$2400, which comprises of her school fee and her pocket money.  [#permalink]

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25 Dec 2018, 10:42
kiran1213 wrote:
Amy had \$2400, which comprises of her school fee and her pocket money. The amount was in denominations of \$50, \$100 and \$500 notes. She gave 5 notes at her school fee counter. What is the minimum possible amount that she got as her pocket money if the number of \$500 notes is greater than the number of \$100 notes which in turn was less than the number of \$50 notes?

A. \$250
B. \$300
C. \$350
D. \$400
E. None of these

given
50x+100y+500z=2400
and
z>y>x

she gave 5 notes
to get min amount left with her we need to find the max amount she would have given at counter

so 4*500+1*100= 2100
left with 2400-2100= 300
IMO B
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Re: Amy had \$2400, which comprises of her school fee and her pocket money.   [#permalink] 25 Dec 2018, 10:42
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