A man purchased the articles for Rs. 123684. He sold 60% of those at a profit of 16.66% and rest at a loss. Find the loss percentage on the remaining if the overall loss is 14%?
A. 20%
B. 30%
C. 60%
D. 66.66%
Answer: Option C
Solution(By Examveda Team)
He gets 14% of loss that means he gets 86% of CP.Thus,
Let the CP be Rs. 100
60% of 100 + 16.66% of 60% of 100 + 40% of 100 - x% of 40% of 100 = 86% of 100
70 + 40X = 86
40X = 86 - 70 = 16
X = $$\frac{{16}}{{40}}$$
X = 0.4
Hence, Loss = 1 - 0.4 = 0.6 = 60%
This Question Belongs to Arithmetic Ability >> Profit And Loss
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Comments ( 10 )
Related Questions on Profit and Loss
A. 45 : 56
B. 45 : 51
C. 47 : 56
D. 47 : 51
A. Rs. 2600
B. Rs. 2700
C. Rs. 2800
D. Rs. 3000
A. A neither losses nor gains
B. A makes a profit of 11%
C. A makes a profit of 20%
D. B loses 20%
A. Rs. 3,750
B. Rs. 3,250
C. Rs. 2,750
D. Rs. 2,250
Total selling Price is Rs.86 (100-14)
Profit selling price is 60 + 16.66% of 60 = 70
Loss selling price is 86-70 = 16
Loss = CP-SP = 40-16 = 24
% Loss = 24/40 X 100 = 60%
Can solve it another method yes or not if yes then plz solve it send it
YH APPROX % HA NA
ISKO E LIGATION METHOD SE BHI KIYA JA SAKTA HA KYA
Okay. Thanks!
Sorry.. it's 100/6 actually. I've written 100/6 in solution but mentioned 100/3 later by mistake.
BTW in your 1st solution,
How 16.66 become 100/3? @Omkar.
Nice explanation @Omkar. I think this is a discussion platform so every explanation is welcome here. Now, one can see three explanation instead of one. So, this is good to have all variation of opinions and solution. What You say?
You've made easy solution into complicated.
In your solution x is the % of CP at which the article sold but it wasn't mentioned there. How can beginners understand that.
And I already posted easy solution of just 2 steps why can't you make it the actual solution here instead of making correction to your solution.
Your solution definitely causes confusion to some beginners.
Again I'm posting another method. Check this.
If cp=100
60% of cp=60
He got 16.66 or 100/6 % profit on this
Means SP=60+60*(100/(6*100))=70
He gets x% loss on remaining 40%
Means SP=40-40*x/100
Overall he gets 14% loss means he sold total articles at 86Rs.
=>(70)+(40-40x/100)=86
110-0.4x=86
0.4x=24
X=60%.
This is simpler and be easily understood by all people.
This solution was wrong but answer is right. How can 86-60=16 ?
And the total process was wrong.
The actual solution is
Let x is the % loss
X*0.4-(100/6)*0.6=14*1
Here I've written 16.66 as 100/3 for simplification purpose.
0.4*x=14+10=24
X=60%
Please correct your solution.