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Re: The diagonal of a square is approximately how much less than [#permalink]

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15 Nov 2012, 08:35

vomhorizon wrote:

The diagonal of a square is approximately how much less than the two if its sides combined ?

(A) 30% (B) 40% (C) 29% (D) 39% (E) 66%

I think you meant "The diagonal of a square is approximately how much less than the two of its sides combined"

clearly, if side of a square is x , the diagonal will be \(x*\sqrt{2}\) What we want is : \((2x-x*\sqrt{2} )*100/2x\) or \((2-\sqrt{2})*100/2\)

\(\sqrt{2}\) is approx 1.41 , therefore 100(2-1.41) is slightly less than 60. Dividing it by 2 we get a number slightly less than 30. Among answer choices C is the only one slightly less than 30.

A square carpet with an area of 169m^2.. [#permalink]

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15 Nov 2012, 08:37

A square carpet with an area of 169m^2 must have 2 meters cut-off one of its edges in order to be a perfect fit for a rectangular room. What is the area of the rectangular room.?

(A) 140 m^2

(B) 128 m^2

(C) 143 m^2

(D) 147 m^2

(E) 151 m^2
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"When you want to succeed as bad as you want to breathe, then you’ll be successful.” - Eric Thomas

A dealer marks articles at a price that gives him a profit.. [#permalink]

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15 Nov 2012, 09:07

A dealer marks articles at a price that gives him a profit of 30%. 6% of the consignment was lost in a fire, 24% was soiled and had to be sold at half the cost price. If the remainder was sold at the marked price, what percentage profit or loss did the dealer make on the consignment?

(A) 2%

(B) 2.5%

(C) 6.2%

(D) 3%

(E) He broke even ..
_________________

"When you want to succeed as bad as you want to breathe, then you’ll be successful.” - Eric Thomas

Re: A square carpet with an area of 169m^2.. [#permalink]

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15 Nov 2012, 09:35

vomhorizon wrote:

A square carpet with an area of 169m^2 must have 2 meters cut-off one of its edges in order to be a perfect fit for a rectangular room. What is the area of the rectangular room.?

(A) 140 m^2

(B) 128 m^2

(C) 143 m^2

(D) 147 m^2

(E) 151 m^2

Side of the square is sqrt169 = 13m since one of the side has to be reduced by 2m so the dimensions of the rectangle will be 13*11 = 143m^2 So, answer will be C. Hope it helps!
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Re: A number when divided by 84 leaves a remainder of 57 [#permalink]

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15 Nov 2012, 09:41

vomhorizon wrote:

A number when divided by 84 leaves a remainder of 57. What is the remainder when the same number is divided by 12?

(A) 7 (B) 8 (C) 9 (D) 11 (E) Cannot be determined

The number(n) can be written as n = 84k + 57 where k is an integer

when n is divided by 12 then 84k+57 is divided by reminder. 84k goes with 12. and 57 gives 9 as a reminder when divided by 12. So, 84k + 57 which is n will give 9 as reminder.

So, answer will be C Hope it helps!
_________________

Re: A dealer marks articles at a price that gives him a profit.. [#permalink]

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15 Nov 2012, 10:05

vomhorizon wrote:

A dealer marks articles at a price that gives him a profit of 30%. 6% of the consignment was lost in a fire, 24% was soiled and had to be sold at half the cost price. If the remainder was sold at the marked price, what percentage profit or loss did the dealer make on the consignment?

(A) 2%

(B) 2.5%

(C) 6.2%

(D) 3%

(E) He broke even ..

SP = 1.3 * CP (30% profit) Total Size of the consignment is T 6% is lost so remaining is 94% of T 24% of T is sold at CP/2 Remaining 70% of T is sold at SP

Total SP = ((24/100) * T *CP/2) + ((70/100) * T * 1.3CP) = T*CP (.12 + .91) = T*CP (1.03)

Re: A dealer marks articles at a price that gives him a profit.. [#permalink]

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15 Nov 2012, 10:11

vomhorizon wrote:

A dealer marks articles at a price that gives him a profit of 30%. 6% of the consignment was lost in a fire, 24% was soiled and had to be sold at half the cost price. If the remainder was sold at the marked price, what percentage profit or loss did the dealer make on the consignment?

(A) 2%

(B) 2.5%

(C) 6.2%

(D) 3%

(E) He broke even ..

If the original cost is x. The money dealer made was = (6*0x + 24*0.5x+1.3x*70) /x % = 12+91 = 103%

Re: A dealer marks articles at a price that gives him a profit.. [#permalink]

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15 Nov 2012, 10:50

I don't understand how it is 6.2%?! Consider the consignment to be ‘y’. If nothing went wrong he must have made money of 1.3xy Since he sold 0.24y for x/2=> 0.12xy 0.06y is a loss So the remaining is 0.7y which he sold for 0.7*1.3xy Total money he made 0.12xy+0.91xy=1.03xy Profit/Loss= (1.03xy-1.3xy)/1.3xy *100 = -0.27/1.3 *100 = 20% (approx loss)

Even if he is asking abt the profit he made on the amount he invested... the last line would be... Profit/Loss= (1.03xy-xy)/xy *100 = 0.03*100 = 3% (approx profit)

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