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Luke pay Anakin

Expert replies
by sanju09 » Tue Mar 03, 2009 4:46 am
A watch costs $100. Anakin bought the watch at a discount of x%. He then sold the watch to Luke at a discount of y%. How many dollars did Luke pay Anakin for the watch?

A. 100 − (x + y)
B. 100 − (x + y + (xy/100))
C. 100 − (x + y − (xy/100))
D. 100 − (x − y + (xy/100))
E. 100 − (x − y − (xy/100))
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Source: — Problem Solving |

Re: Luke pay Anakin

by piyush_nitt » Tue Mar 03, 2009 5:04 am
sanju09 wrote:A watch costs $100. Anakin bought the watch at a discount of x%. He then sold the watch to Luke at a discount of y%. How many dollars did Luke pay Anakin for the watch?

A. 100 − (x + y)
B. 100 − (x + y + (xy/100))
C. 100 − (x + y − (xy/100))
D. 100 − (x − y + (xy/100))
E. 100 − (x − y − (xy/100))
IMO C

Anakin bought for 100- x

luke paid - (100-x) - y(100-x)/100

(100-x) - y(1- x/100)

(100-x) - y+ xy/100

100-(x+y -xy/100)
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by mjjking » Tue Mar 03, 2009 8:20 am
Just try to plug numbers in.

Be x: 10% and y: 20%

Anakin bought the watch for 100-10%=90USD and Luke bought it for 90-20%=72 USD.

So the answer that yeld 72 will be the correct one.

hence answer (C).
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