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:
96 comments Page 2 of 10.
Vaibhav said:
4 years ago
Profit = 4:5.
Main concept;
{
In loss = cp>sp.
Loss = cp - sp.
while in profit in its ci.
vice versa,
profit = sp-cp.
}
Loss = x-1280
Profit = 1920-x
Loss = profit
2x = 3200
x= 1600
profit = 4:5.
4-----> 1600.
5-----> 2000.
Main concept;
{
In loss = cp>sp.
Loss = cp - sp.
while in profit in its ci.
vice versa,
profit = sp-cp.
}
Loss = x-1280
Profit = 1920-x
Loss = profit
2x = 3200
x= 1600
profit = 4:5.
4-----> 1600.
5-----> 2000.
(4)
Subhojit said:
6 years ago
CP = (1920 + 1280)/2.
= 1600.
SP = (CP+profit).
= [1600 + {1600*(25/100)}],
= 1600 + 400,
= 2000.
= 1600.
SP = (CP+profit).
= [1600 + {1600*(25/100)}],
= 1600 + 400,
= 2000.
(3)
Dee said:
3 years ago
@Kavi.
Thank you so much for explaining the answer.
Thank you so much for explaining the answer.
(3)
Jadhav Balaji shankar said:
5 years ago
1920 + 1280 ÷ 2.
1600 than 25%.
1600 * 5/4 = 2000.
1600 than 25%.
1600 * 5/4 = 2000.
(3)
Sandeep said:
7 months ago
Simple way:
Our motive is to find sp so sp(formula) = 100+profit%/100*cp
But we are not having CP.
So, as this problem dealt with profit %.
So, cp = 100/100 + profit% * sp(sp = 1920 as in question mentioned only profit % so leave loss%)
cp = 100/100 + 25 * 1920 = 1600.
Now sp = 100 + gain%/100*cp
= 100+25/100 * 1600.
= 125 * 16.
= 2000(final ans).
Our motive is to find sp so sp(formula) = 100+profit%/100*cp
But we are not having CP.
So, as this problem dealt with profit %.
So, cp = 100/100 + profit% * sp(sp = 1920 as in question mentioned only profit % so leave loss%)
cp = 100/100 + 25 * 1920 = 1600.
Now sp = 100 + gain%/100*cp
= 100+25/100 * 1600.
= 125 * 16.
= 2000(final ans).
(2)
Nalla peru said:
6 years ago
Explain this question properly.
(2)
Saifan said:
5 years ago
since profit(P) and loss(L) percentages are same:
=> P% = L% => P = L .
S.P for P% =1920 ; S.P for L% = 1280
=> 2P =2L = 1920 -1280 = 640
=> P = L = 320
Therefore C.P = S.P(p) - P = S.P(l) + L = 1600
new selling price for 25% profit will be
S.P = ((100 + P) / 100) * C.P = ((100 + 25) / 100) * 1600
= 125/100 * 1600
= 2000
=> P% = L% => P = L .
S.P for P% =1920 ; S.P for L% = 1280
=> 2P =2L = 1920 -1280 = 640
=> P = L = 320
Therefore C.P = S.P(p) - P = S.P(l) + L = 1600
new selling price for 25% profit will be
S.P = ((100 + P) / 100) * C.P = ((100 + 25) / 100) * 1600
= 125/100 * 1600
= 2000
(1)
Sai Reddy said:
9 years ago
Profit=sp-cp=>1920-cp.
Loss=cp-sp=>cp-1280.
Profit percentage = loss percentage(given).
1920-cp = cp-1280,
cp = 1600,
25% of cp = 400.
Therefore, sp=1600 + 400 = 2000.
Loss=cp-sp=>cp-1280.
Profit percentage = loss percentage(given).
1920-cp = cp-1280,
cp = 1600,
25% of cp = 400.
Therefore, sp=1600 + 400 = 2000.
(1)
Madhuri said:
2 months ago
(X-1920), (X-1280).
2x = 1920 + 1280.
= 3200.
x = 1600.
25%.
= 5/4 × 1600.
= 2000.
2x = 1920 + 1280.
= 3200.
x = 1600.
25%.
= 5/4 × 1600.
= 2000.
(1)
Aamir said:
2 decades ago
Its very simple questions profit incrd when selng it at 1920 is same as los when sel it at 1280 take average of two .i.e .1920+1280/2=1600 is new cost so prf 25%of 1600=400.so add 1600+400=2000
(1)
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