GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Certain goods were purchased for $450, and one-third were sold at a
[#permalink]
10 Apr 2021, 22:31
10 Apr 2021, 22:31
2
6
Bookmarks
00:00
Question Stats:
56% (02:21) correct
43% (02:07) wrong based on 16 sessions
Hide Show timer Statistics
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
[#permalink]
10 Apr 2021, 23:42
10 Apr 2021, 23:42
3
1
Bookmarks
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 $450, and one-third were sold at a
[#permalink]
10 Apr 2021, 23:38
10 Apr 2021, 23:38
2
1
Bookmarks
Overall grain has to be 20%, means = 450 * 0.2 = 90$
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%
