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 8 of 10.
Raj said:
1 decade ago
@sunitha: do the step untill x=1600, then you can calculate 25% profit for cp 1600, if you calculate then you get Rs-400 then add that with 1600, you will get Rs-2000 (1600+400) because they ask overall amount for 25% so they calculate 125% (100+25).
Venkatesh c said:
10 years ago
(1920+1280) /2 = 1600.
= 1600*1.25 = 2000.
= 1600*1.25 = 2000.
Sunitha said:
1 decade ago
What formula is used and in question it is 25% in answer it is shown as 125% please explain
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.
Sai said:
10 years ago
Please explain more clearly.
Sai ganesh said:
10 years ago
(1920+1280)/2 = 1600.
1600*1.25 = 2000.
1600*1.25 = 2000.
Bharat said:
10 years ago
Why 125 is arrived can anybody explain clearly?
A.KARTHIKA said:
10 years ago
Let C.P be Rs. x.
Then ((1920-x)/x)*100 = ((x-1280/x)*100.
1920-x = x-1280.
2x = 3200.
x = 1600.
Required S.P = 25% of RS.1600 = ((25/100)*1600) = 400.
From 1600 25% profit means,
(1600+400) = 2000.
Answer: Rs. 2000.
Then ((1920-x)/x)*100 = ((x-1280/x)*100.
1920-x = x-1280.
2x = 3200.
x = 1600.
Required S.P = 25% of RS.1600 = ((25/100)*1600) = 400.
From 1600 25% profit means,
(1600+400) = 2000.
Answer: Rs. 2000.
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