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Black_prince [1.1K]
3 years ago
10

If an angle is 10 degree less than its complement, find the angle.​

Mathematics
1 answer:
GrogVix [38]3 years ago
3 0

Let one be x

  • Other one is x-10

ATQ

\\ \sf \longmapsto x+x-10=90

\\ \sf \longmapsto 2x-10=90

\\ \sf \longmapsto 2x=90+10

\\ \sf \longmapsto 2x=100

\\ \sf \longmapsto x=\dfrac{100}{2}

\\ \sf \longmapsto x=50

\\ \sf \longmapsto x-10=50-10=40

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GMAT Club Forum Index  Problem Solving (PS)

A merchant sells a certain item for a price that is a whole number of : Problem Solving (PS)

TAGS

Bunuel

EXPERT'S

POST

Feb 4, 2018



00:00

A

B

C

D

E

DIFFICULTY:

 

     15% (low)

 

QUESTION STATS:

 based on 54 sessions

81% (01:19) correct

19% (01:52) wrong

A merchant sells a certain item for a price that is a whole number of dollars. If the cost of the item to her is $50, then which of the following could be her profit as a percentage of her cost?

(A) 15%

(B) 25%

(C) 33 1/3%

(D) 40%

(E) 75%

Spoiler: OA

 Kudos

0 kudos, 1 bookmark

pushpitkc

Feb 5, 2018

Analyzing the answer options to calculate the total profit

(A) 15% of 50 is 7.5

(B) 25% of 50 is 12.5

(C) 33 1/3% of 50 is 16.67

(D) 40% of 50 is 20

(E) 75% of 50 is 37.5

Since selling price is the sum of the cost price and the profit, only 40%

gives us a whole number for selling price, making it our answer choice.(Option D)

 Kudos

Mo2men

Feb 5, 2018

Bunuel wrote:A merchant sells a certain item for a price that is a whole number of dollars. If the cost of the item to her is $50, then which of the following could be her profit as a percentage of her cost?

(A) 15%

(B) 25%

(C) 33 1/3%

(D) 40%

(E) 75%

Profit = Price - Cost

Now lets make the denominator = 100...So multiply both numerator and denominator by 2

Now you can equal each answer choice easily with equation above.......You need answer that creates even number to be divided by 2

Choices A, B, & E makes the number ending with 5 odd............Eliminate

Choice C is very clear ..........................................................Eliminate

Only one answer left.

Answer D

Check it

2Price - 100 = 40.........2Price = 140......P= 70...Bingo 

6 0
3 years ago
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