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# Pads of a certain drafting paper come in two shapes, square and

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Joined: 08 Jun 2017
Posts: 12
Pads of a certain drafting paper come in two shapes, square and  [#permalink]

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Updated on: 15 Oct 2017, 01:43
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Difficulty:

15% (low)

Question Stats:

76% (01:34) correct 24% (00:55) wrong based on 38 sessions

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Pads of a certain drafting paper come in two shapes, square and rectangular. If the size of a square sheet of paper is 15 percent larger than the size of a rectangular sheet and a 50-sheet pad of square sheets contains 34,500 square inches of paper, what is the area, in square inches, of one sheet of the rectangular paper?

A) 600

B) 690

C) 750

D) 793.5

E) 960.7

(Source: Princeton Review GMAT Test 6)

Originally posted by aashaybaindurgmat on 14 Oct 2017, 21:08.
Last edited by Bunuel on 15 Oct 2017, 01:43, edited 2 times in total.
Renamed the topic.
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Posts: 1214
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Re: Pads of a certain drafting paper come in two shapes, square and  [#permalink]

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14 Oct 2017, 22:20
aashaybaindurgmat wrote:
Pads of a certain drafting paper come in two shapes, square and rectangular. If the size of a square sheet of paper is 15 percent larger than the size of a rectangular sheet and a 50-sheet pad of square sheets contains 34,500 square inches of paper, what is the area, in square inches, of one sheet of the rectangular paper?

A) 600

B) 690

C) 750

D) 793.5

E) 960.7

(Source: Princeton Review GMAT Test 6)

Given $$50*area of square = 34500$$

therefore area of square $$= 690$$

as area of square is $$15$$% greater than rectangle

so area of rectangle $$= 690*\frac{100}{115} = 600$$

Option A
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Pads of a certain drafting paper come in two shapes, square and  [#permalink]

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15 Oct 2017, 03:40
aashaybaindurgmat wrote:
Pads of a certain drafting paper come in two shapes, square and rectangular. If the size of a square sheet of paper is 15 percent larger than the size of a rectangular sheet and a 50-sheet pad of square sheets contains 34,500 square inches of paper, what is the area, in square inches, of one sheet of the rectangular paper?

A) 600

B) 690

C) 750

D) 793.5

E) 960.7

(Source: Princeton Review GMAT Test 6)

Algebra - Find the area of one sheet of square paper. Divide by 1.15 to get area of one sheet of rectangular paper

All areas are in square inches.

One sheet of square paper's area:

$$\frac{AreaOfPad}{SheetsPerPad}= \frac{34500}{50}$$ = 690 per sheet

One square sheet's area (S) is 15 percent greater than one rectangular sheet's area (R):

$$S = 1.15R$$
$$1.15R = 690$$
$$R=\frac{690}{1.15} = 600$$

A very quick way to backsolve: multiply the answers by 50. The result cannot be greater than 34,500.

One square sheet's area > one rectangular sheet's area. So area of 50 rectangular sheets cannot be > 50 square sheets' area of 34,500

We need less than 34,500. Answer A is easy to multiply by 50. Start there.

50 * 600 = 30,000
That works. 30,000 < 34,500

(50 * 690) -- double and halve
(100 * 345) = 34,500
No. 34,500 is not < 34,500

The numbers in the answer choices just get bigger. They will not work.

_________________

In the depths of winter, I finally learned
that within me there lay an invincible summer.

Pads of a certain drafting paper come in two shapes, square and &nbs [#permalink] 15 Oct 2017, 03:40
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