Aptitude - Profit and Loss - Discussion
Discussion Forum : Profit and Loss - General Questions (Q.No. 6)
6.
The percentage profit earned by selling an article for Rs. 1920 is equal to the percentage loss incurred by selling the same article for Rs. 1280. At what price should the article be sold to make 25% profit?
Answer: Option
Explanation:
Let C.P. be Rs. x.
| Then, | 1920 - x | x 100 = | x - 1280 | x 100 |
| x | x |
1920 - x = x - 1280
2x = 3200
x = 1600
 Required S.P. = 125% of Rs. 1600 = Rs. |
 |
125 | x 1600 |  |
= Rs 2000. |
| 100 |
Video Explanation: https://youtu.be/0tTd5TwCspY
Discussion:
93 comments Page 9 of 10.
Siva mahesh said:
10 years ago
Hi @Vipul.
Here before solving you look at question carefully her the C.P is same because the article is same.
Case 1 case 2 S.P = 1280; L% = ?
Let it be x.
S.P = 1920 similarly by loss formula.
P% = ? Let it be x L% = (C.P-S.P)/C.P*100.
By formula P% = (S.P-C.P)/C.P*100.
Case 1 and case 2 equate X we get 2x = 1920+1280 and x = 1600.
And now C.P = 1600 to earn 25% gain calculate S.P.
Here before solving you look at question carefully her the C.P is same because the article is same.
Case 1 case 2 S.P = 1280; L% = ?
Let it be x.
S.P = 1920 similarly by loss formula.
P% = ? Let it be x L% = (C.P-S.P)/C.P*100.
By formula P% = (S.P-C.P)/C.P*100.
Case 1 and case 2 equate X we get 2x = 1920+1280 and x = 1600.
And now C.P = 1600 to earn 25% gain calculate S.P.
Vipul said:
10 years ago
How to solve this kind of question without any formula or without let x?
Anybody please help.
Anybody please help.
Sandy009 said:
9 years ago
S.P = Selling Price.
C.P = Cost Price.
The complete problem till x = 1600 is perfect.
At last use the S.P = (100 + gain% / 100) * C.P.
i.e 100 + 25/100 * 1600.
Answer 2000.
C.P = Cost Price.
The complete problem till x = 1600 is perfect.
At last use the S.P = (100 + gain% / 100) * C.P.
i.e 100 + 25/100 * 1600.
Answer 2000.
Ajay shelake said:
1 decade ago
x is current.
Sp 1 = 1920.
Sp 2 = 1280.
1920-x = 1280+x profit = selling incurred same article.
1920-1280 = 2x.
640 = 2x.
640/2 = x.
320 = x.
So the percent profit by 1st article = 1920. So the price = 1920-320.
Price = 1600.
25% of 1600 = 1600*25/100 = 400.
The price make sold = 1600+400 = 2000.
Have a nice day!
Sp 1 = 1920.
Sp 2 = 1280.
1920-x = 1280+x profit = selling incurred same article.
1920-1280 = 2x.
640 = 2x.
640/2 = x.
320 = x.
So the percent profit by 1st article = 1920. So the price = 1920-320.
Price = 1600.
25% of 1600 = 1600*25/100 = 400.
The price make sold = 1600+400 = 2000.
Have a nice day!
Srinivas said:
1 decade ago
1920+1280 = 3200.
3200/2 = 1600.
C.P of each item is 1600.
Then,
If 1600-----100%
Then X------125%
X = 1600*125/100.
X = 2000;
3200/2 = 1600.
C.P of each item is 1600.
Then,
If 1600-----100%
Then X------125%
X = 1600*125/100.
X = 2000;
NARENDRA B.D. said:
1 decade ago
1920-1280 = 640/2 = 320+1280 = 1600+25% = 2000.
Anup said:
1 decade ago
Shortcut trick:
1920+1280*2.
Ans = 1600.
1920+1280*2.
Ans = 1600.
Banty said:
1 decade ago
It is very simple question.
At first,
First article cp = x.
second article cp = x.
Total-------------------------
= 2x.
First article sp =1920.
Second article sp= 1280.
Total-----------------------
= 3200.
Then first article cp = 3200/2 = 1600.
According to the question.
Get 25% profit.
100 is = 125.
1 is = 125/100.
1600 is = 125/100*1600.
= 2000.
At first,
First article cp = x.
second article cp = x.
Total-------------------------
= 2x.
First article sp =1920.
Second article sp= 1280.
Total-----------------------
= 3200.
Then first article cp = 3200/2 = 1600.
According to the question.
Get 25% profit.
100 is = 125.
1 is = 125/100.
1600 is = 125/100*1600.
= 2000.
Perveen kumar said:
1 decade ago
Add sp1(profit) - sp2(loss)/2.
i.e. 1950-1280/2 = 640/2 = 320.
Add in 1280 = 1600*25%= 2000 answer.
i.e. 1950-1280/2 = 640/2 = 320.
Add in 1280 = 1600*25%= 2000 answer.
Shahid said:
1 decade ago
Let CP = x.
Profit = SP-CP = 1920-x.
Loss = CP-SP = x-1280.
Then CP = 1600/-
SP = CP*((100+profit)/100).
SP = 1600*1.25.
SP = 2000/-
Profit = SP-CP = 1920-x.
Loss = CP-SP = x-1280.
Then CP = 1600/-
SP = CP*((100+profit)/100).
SP = 1600*1.25.
SP = 2000/-
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