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Robin sells two commodities for $19,800 each. She sells one at a profi

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Bunuel
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Robin sells two commodities for $19,800 each. She sells one at a profi [#permalink] New post   16 Jan 2020, 02:49
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Robin sells two commodities for $19,800 each. She sells one at a profit of 10% and sells the other at a loss of 10%. What is her overall amount of profit or loss?

A. $800 loss
B. $600 loss
C. $400 loss
D. $0
E. $400 profit
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C
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Re: Robin sells two commodities for $19,800 each. She sells one at a profi [#permalink] New post   16 Jan 2020, 07:15
original cost of item at profit ; 19800/1.1 ; 18,000
original cost of item at loss ; 19800/.9 ; 22,000
net ∆ in price ; (19800-22,000)+(19,800-18,000) ; -2200+1800 ; -400
$400 loss
IMO C


Bunuel wrote:
Robin sells two commodities for $19,800 each. She sells one at a profit of 10% and sells the other at a loss of 10%. What is her overall amount of profit or loss?

A. $800 loss
B. $600 loss
C. $400 loss
D. $0
E. $400 profit
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Re: Robin sells two commodities for $19,800 each. She sells one at a profi [#permalink] New post   10 May 2020, 13:59
Use formula x^2/100 to find the overall profit percentage which is 1% loss. Total SP = 39600. Total cost price would be 0.99CP = 39600. Total CP = 40000. Amount of loss = 400. Ans c

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Re: Robin sells two commodities for $19,800 each. She sells one at a profi [#permalink] New post   11 May 2020, 06:38
Bunuel wrote:
Robin sells two commodities for $19,800 each. She sells one at a profit of 10% and sells the other at a loss of 10%. What is her overall amount of profit or loss?

A. $800 loss
B. $600 loss
C. $400 loss
D. $0
E. $400 profit


\(CP_1 = \frac{19800}{110}*100\) => 18000
\(CP_2 = \frac{19800}{90}*100\) => 22000

Total CP is 18000 + 22000 = 40000

Total SP is 2*19800 = 39600

So, Loss is $ 400 , Answer must be (C)
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Re: Robin sells two commodities for $19,800 each. She sells one at a profi [#permalink] New post   26 Aug 2022, 04:53
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Let the cost price of the commodity sold at a profit be CP1 and the one sold at a loss be CP2.

Thus, CP1*1.1 = $19,800
CP1 = $18,000

Also, CP2*0.9 = $19,800
CP2 = $22000

The total cost price = $18,000 + $22,000 = $40,000
The total selling price = $19,800*2 = $39,600

Loss = $40,000 - $39,600 = $400

Thus, the correct option is C.
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Re: Robin sells two commodities for $19,800 each. She sells one at a profi [#permalink] New post   17 Sep 2022, 00:11
1st Item:
CP: SP=10:11
2nd Item:
CP: SP=10:9
11 and 9 in both the ratio are same and is equal to 19800
We need to make these two ratio part equal by suitably multiplying
1st Item:
CP: SP=90:99
2nd Item:
CP: SP=110:99
Overall CP: SP=200:198 (loss of 2 units)
99-->19800
2------>400
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Re: Robin sells two commodities for $19,800 each. She sells one at a profi [#permalink]
17 Sep 2022, 00:11
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