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George sells a CDs at a profit of 20% and a DVDs at a loss of 20%. If
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25 Apr 2017, 00:43
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Q. George sells a CDs at a profit of 20% and a DVDs at a loss of 20%. If he makes a net profit of 10% on this transaction and the selling price of CDs is $ 36, find the selling price of DVDs. A. $ 8 B. $ 10 C. $ 20 D. $ 25 E. $ 30 Thanks, Saquib Quant Expert eGMATRegister for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the realtime guidance of our Experts
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George sells a CDs at a profit of 20% and a DVDs at a loss of 20%. If
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Updated on: 30 Apr 2017, 01:29
The official solution has been posted. Looking forward to a healthy discussion..
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Re: George sells a CDs at a profit of 20% and a DVDs at a loss of 20%. If
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25 Apr 2017, 01:01
EgmatQuantExpert wrote: Q. George sells a CDs at a profit of 20% and a DVDs at a loss of 20%. If he makes a net profit of 10% on this transaction and the selling price of CDs is $ 36, find the selling price of DVDs. A. $ 8 B. $ 10 C. $ 20 D. $ 25 E. $ 30 Thanks, Saquib Quant Expert eGMATRegister for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the realtime guidance of our Experts original CD price = 36/1.2 = 30 36 + 0.80*DVD_price = (DVD_price + CD_price)*1.10 36 + 0.80*DVD_price = (DVD_price + 30)*1.10 36 + 0.8*DVD_price = 1.10*DVD_price + 33 3 = 0.3*DVD_price DVD_price = 10 Selling Price of DVD = 0.8*10 = $8 Hence option A is correct Hit Kudos if you liked it



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Re: George sells a CDs at a profit of 20% and a DVDs at a loss of 20%. If
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25 Apr 2017, 01:07
Cost Price of CD and DVD are C and D respectively Selling Price of CD and DVD are 1.2C and 0.8D respectively given 1.2C=36, means C=30 total profit = total Selling price/total Cost price  1 = 0.1 (here 0.1 means 10%) So, 1.1 = (1.2C + 0.8D)/(C+D) 1.2C + 0.8D = 1.1C + 1.1D 0.1C = 0.3D we know C=30 so , D= (0.1*30)/0.3 = 10 So selling price is 0.8D = 8 Hence answer is A
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Re: George sells a CDs at a profit of 20% and a DVDs at a loss of 20%. If
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25 Apr 2017, 01:21
cost price of CD = 5/6* 36 =30 Now, as per question ratio of the cost price of CD's to the cost price of DVD's would be 3:1 and 3 implies 30, which means 1 part corresponds to 10. Given, DVD's loss percent =20% => SP of DVD's = 10*4/5 =8 => option A



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Re: George sells a CDs at a profit of 20% and a DVDs at a loss of 20%. If
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30 Apr 2017, 01:27
Solution Given:• Profit % on CDs \(= 20\)% • Loss % on DVDs \(= 20\)% • Overall Profit \(= 10\)% • Selling Price of CDs \(= $ 36\) Working:• Cost Price of CDs \(* (1 + \frac{1}{5}) = $ 36\) • Cost Price of CDs \(= $ 30\) • Let the Cost Price of DVDs \(= D\)
o Loss on DVDs \(= D*\frac{1}{5} = \frac{D}{5}\) • Overall Profit \(= (3630) + \frac{D}{5} = 6  \frac{D}{5}\)
• % \(Profit = (6  \frac{D}{5})/(D+30)\)
• \(\frac{(30  D)}{5(D+30)} = \frac{1}{10}\)
• \(60  2D = D + 30\)
• \(D = 10\)
• Note: We have been asked the SP of DVDs, so don’t mark Option B as you answer, otherwise all the hard work will be a BIG waste.
• SP of DVDs \(= 10( 1\frac{1}{5}) = $ 8\)
• Hence the correct answer is Option A. Thanks, Saquib Quant Expert eGMATRegister for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the realtime guidance of our Experts
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Re: George sells a CDs at a profit of 20% and a DVDs at a loss of 20%. If
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30 Apr 2017, 01:36
Method 2 • Let CP of CDs be \(C\) and CP of DVDs be \(D\). • Thus, we can write
o (Profit from C – Loss from D)= Overall Profit*(Sum of CP of C and D) o \((C*\frac{1}{5} – D*\frac{1}{5}) = \frac{1}{10}*(C+D)\) o \(\frac{(CD)}{(C+D)} = \frac{1}{5}\) o \(D = \frac{C}{3}\) • We need to find the SP of DVDs \(= D*(1\frac{1}{5}) = \frac{4D}{5}\)
o As \(D = \frac{C}{3}\) o SP of DVDs \(= \frac{4D}{5} = \frac{4C}{15}\) • Cost Price of CDs \(* (1 + \frac{1}{5}) = $ 36\) • Cost Price of CDs \(= $ 30\) • Thus, \(SP = 4 * \frac{30}{15} = $8\) Thanks, Saquib Quant Expert eGMATRegister for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the realtime guidance of our Experts
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Re: George sells a CDs at a profit of 20% and a DVDs at a loss of 20%. If
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30 Apr 2017, 11:59
y actual price of DVD. 36+ 0.8y = (30 + y) * 1.10.3y = 3 y = 10 Selling price of DVD 0.8 y = 8 . Ans A.
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Re: George sells a CDs at a profit of 20% and a DVDs at a loss of 20%. If
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03 May 2017, 14:55
Cp of cd=36/1.2=30 cp of dvd=x sp of dvd=0.8x atq (0.8x+36)(x+30)=(x+30)0.10 solving, x=10 sp of dvd=10*0.8=8 answer:A



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Re: George sells a CDs at a profit of 20% and a DVDs at a loss of 20%. If
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20 Oct 2018, 12:46
Let x & y be the cost of Cd and DVD respectively. 1.2x + 0.8y = 1.1x + 1.1y x = 3y Given , 1.2x = 36 ; x= 30 Therefore , y = 10 and selling price of dvd = 80% of 10 = 8



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Re: George sells a CDs at a profit of 20% and a DVDs at a loss of 20%. If
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23 Aug 2019, 09:32
CP of Cd; 36/1.2 ; 30$ so x be the CP of dvd 36+0.8x=(x+30)*1.1 solve for x ; 10 SP of DVD ; 10*.8 ; $8 IMO A EgmatQuantExpert wrote: Q. George sells a CDs at a profit of 20% and a DVDs at a loss of 20%. If he makes a net profit of 10% on this transaction and the selling price of CDs is $ 36, find the selling price of DVDs. A. $ 8 B. $ 10 C. $ 20 D. $ 25 E. $ 30 Thanks, Saquib Quant Expert eGMATRegister for our Free Session on Number Properties (held every 3rd week) to solve exciting 700+ Level Questions in a classroom environment under the realtime guidance of our Experts




Re: George sells a CDs at a profit of 20% and a DVDs at a loss of 20%. If
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23 Aug 2019, 09:32






