A dealer sold good for $X. If Y percent was deducted for taxes and the : Data Sufficiency (DS)

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A dealer sold good for $X. If Y percent was deducted for taxes and the

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Math Expert

Joined: 02 Sep 2009

Posts: 53069

A dealer sold good for $X. If Y percent was deducted for taxes and the [#permalink]

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23 Oct 2018, 23:41

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Difficulty:

25% (medium)

Question Stats:

76% (01:29) correct

24% (01:28) wrong

based on 48 sessions

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A dealer sold good for $X. If Y percent was deducted for taxes and then $Z dollars was deducted for the cost of good, what was dealer’s gross profit after the deductions?

(1) X − Z = 400
(2) XY = 1100

Spoiler: OA

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Joined: 15 Feb 2018

Posts: 246

A dealer sold good for $X. If Y percent was deducted for taxes and the [#permalink]

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23 Oct 2018, 23:49

Original Condition
Revenue-Expense=Profit
X-$\frac{Y}{100}$X-Z=Profit

X-$\frac{YX}{100}$-Z=Profit

Need to find X, Y, Z, X-Z, X-XY, XY/100 etc

1) Insufficient, don't know Y or anything containing Y

2) Don't know Z or anything containing Z

Together
400-$\frac{1100}{100}$=389

C

Joined: 31 Oct 2013

Posts: 1162

Concentration: Accounting, Finance

GPA: 3.68

WE: Analyst (Accounting)

Re: A dealer sold good for $X. If Y percent was deducted for taxes and the [#permalink]

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24 Oct 2018, 04:53

Bunuel wrote:

Gross profit : x - y% - z.

Statement 1: No information about y%. Not sufficient.

Statement 2; No information about z. NOT sufficient.

Combining :

x - z = 400 . if we deduct y from 400 we we will get gross profit. Statement 2 gives the value of y%.

xy = 1100

x * y/100 = 1100 /100

xY% = 11.

x - z = 400

x - z - y% = 400 - 11 = 389.

The best answer is C.