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 5 of 10.
Meeti said:
9 years ago
Thank you @Aamir.
Kalyan said:
9 years ago
Thank you @Kavi.
Prajakta said:
9 years ago
Thanks @Aamir.
MGNVPrasad said:
9 years ago
No need to worry, first understand the question carefully,given only selling prices,not given cost prices,first we find cost price.
From selling price 1280 .
I find out the cost price.see profit is 25%.
C.p = 1600 [10% of 1280 = 128,
5%=64, 10% + 10% + 10% = 25%,
i.e128 + 128 + 64 = 320.
Add 1280 + 320 = 1600(or) 1920 - 320=1600
Now S.p = 1600 * 125/100 = 2000.
[To get 25% out of 1600 is 125 . profit add 100, 100 + 25 = 125, loss subtract from 100, 100 - 25 = 75].
From selling price 1280 .
I find out the cost price.see profit is 25%.
C.p = 1600 [10% of 1280 = 128,
5%=64, 10% + 10% + 10% = 25%,
i.e128 + 128 + 64 = 320.
Add 1280 + 320 = 1600(or) 1920 - 320=1600
Now S.p = 1600 * 125/100 = 2000.
[To get 25% out of 1600 is 125 . profit add 100, 100 + 25 = 125, loss subtract from 100, 100 - 25 = 75].
Dinesh said:
9 years ago
Why should we add 1600?
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.
Senchu Thomas said:
9 years ago
1920-x = 1280+x.
2x = 640.
x = 640/2.
x = 320.
CP = 1920-320 = 1600.
To get 25% profit 125%1600.
1600/100*125 = 2000.
2x = 640.
x = 640/2.
x = 320.
CP = 1920-320 = 1600.
To get 25% profit 125%1600.
1600/100*125 = 2000.
Koyal said:
10 years ago
I did not understand please help !
Siva krishna said:
10 years ago
When we assume C.P is 100,
Given % = ((S.P-C.P)/C.P)*100.
25 = (S.P-X)/X)*100.
25/100 = (S.P- X)/X.
Now substitute X = 100.
You will get S.P = 125.
Similarly,
If the gain % 55, S.P = 155.
If the gain % 65, S.P = 165.
If the gain % 75, S.P = 175.
Same way for loss % = ((C.P-S.P)/C.P)*100.
If you get loss % = 75, S.P = 25.
Check with assuming C.P= 100, since 100 easy to calculate.
If loss = 25, S.P =75.
Also check the important facts in: http://www.indiabix.com/aptitude/profit-and-loss/formulas.
Given % = ((S.P-C.P)/C.P)*100.
25 = (S.P-X)/X)*100.
25/100 = (S.P- X)/X.
Now substitute X = 100.
You will get S.P = 125.
Similarly,
If the gain % 55, S.P = 155.
If the gain % 65, S.P = 165.
If the gain % 75, S.P = 175.
Same way for loss % = ((C.P-S.P)/C.P)*100.
If you get loss % = 75, S.P = 25.
Check with assuming C.P= 100, since 100 easy to calculate.
If loss = 25, S.P =75.
Also check the important facts in: http://www.indiabix.com/aptitude/profit-and-loss/formulas.
Sayali said:
10 years ago
Why they take 125%? I have not understood that step. Please somebody help me.
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