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Certain goods were purchased for $450, and one-third were sold at a
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10 Apr 2021, 22:31
10 Apr 2021, 22:31
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Question Stats:
63% (02:22) correct
36% (02:07) wrong based on 19 sessions
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Certain goods were purchased for \($450\), and one-third were sold at a loss of \(10\)%, at what gain percent should the remainder be sold so as to gain \(20\)% on the whole transaction?
Show: ::
\(35\)%
Re: Certain goods were purchased for $450, and one-third were sold at a
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10 Apr 2021, 23:42
10 Apr 2021, 23:42
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Given the cost price = Rs. 450
To get overall 20% gain,
Total Selling Price = (20/100) x 450 = 540
One third of the CP = 1/3 x 450 = Rs. 150
But given 1/3 of articles are sold at 10% loss
S.P of 1/3 of articles = 90% of 150
= 90 x 150/100 = 135
S.P on remaining 2/3 goods must be
= 450 - 135 = 405 ...........(1)
CP on remaining goods
= 2/3 x 450 = 300 ............(2)
Profit = SP - CP = 405 - 300 = 105
Profit % = (105/300) x 100
= 35%.
To get overall 20% gain,
Total Selling Price = (20/100) x 450 = 540
One third of the CP = 1/3 x 450 = Rs. 150
But given 1/3 of articles are sold at 10% loss
S.P of 1/3 of articles = 90% of 150
= 90 x 150/100 = 135
S.P on remaining 2/3 goods must be
= 450 - 135 = 405 ...........(1)
CP on remaining goods
= 2/3 x 450 = 300 ............(2)
Profit = SP - CP = 405 - 300 = 105
Profit % = (105/300) x 100
= 35%.
General Discussion
Re: Certain goods were purchased for $450, and one-third were sold at a
[#permalink]
10 Apr 2021, 23:38
10 Apr 2021, 23:38
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Overall grain has to be 20%, means = 450 * 0.2 = 90$
but, 1/3 portion was sold at 10% loss = 1/3 * 450 * 0.1 = 15$
So, total gain needed to be = 90$ + 15$ = 105$
and the remaining goods = 450$ - 150$ = 300$
So, gain of the reminder goods = 105/300 = 0.35 = 35%
but, 1/3 portion was sold at 10% loss = 1/3 * 450 * 0.1 = 15$
So, total gain needed to be = 90$ + 15$ = 105$
and the remaining goods = 450$ - 150$ = 300$
So, gain of the reminder goods = 105/300 = 0.35 = 35%
