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 1 of 10.
Arisom Saha said:
5 months ago
Amazing explanation. Thanks all.
Harshit kaushik said:
10 months ago
Let ;
cp = x.
sp for profit = 1920.
profit = 1920-x.
sp for loss = 1280.
loss = x - 1280.
atq-
(1920-x)=(x-1280).
further by solving x = 1600.
So sp = 1600.
Now for 25% gain 25% = 1/4.
25%of 1600 = 400.
Now sp for 25% gain.
= 1600 + 400 = 2000 answer.
cp = x.
sp for profit = 1920.
profit = 1920-x.
sp for loss = 1280.
loss = x - 1280.
atq-
(1920-x)=(x-1280).
further by solving x = 1600.
So sp = 1600.
Now for 25% gain 25% = 1/4.
25%of 1600 = 400.
Now sp for 25% gain.
= 1600 + 400 = 2000 answer.
(16)
Subbaiah said:
2 years ago
1920 + 1280 = 3200.
Half is 1600.
Profit is 25%.
1600 * 125/100 = 2000.
Half is 1600.
Profit is 25%.
1600 * 125/100 = 2000.
(52)
Devinder singh said:
2 years ago
1920-cp = cp - 1280.
cp = 1600/sp.
= 1600 * 120% = 2400.
cp = 1600/sp.
= 1600 * 120% = 2400.
(11)
Vishal thakur said:
2 years ago
Profit and loss percentage equals means by formula.
Sp - cp/cp = cp - sp/cp. (100 is cancelled on both sides).
also, cancel cp on both sides then,
2cp = sp+sp
Cp = 1280 + 1920/2,
Cp = 1600.
By gain of 25%.
1600 + 25% of 1600,
1600 + 400 = 2000.
Sp - cp/cp = cp - sp/cp. (100 is cancelled on both sides).
also, cancel cp on both sides then,
2cp = sp+sp
Cp = 1280 + 1920/2,
Cp = 1600.
By gain of 25%.
1600 + 25% of 1600,
1600 + 400 = 2000.
(33)
Deepika said:
3 years ago
Super explanation. Thanks @Ashwini
(8)
Dee said:
3 years ago
@Kavi.
Thank you so much for explaining the answer.
Thank you so much for explaining the answer.
(3)
ASHWINI said:
3 years ago
Profit = SP-CP,
LOSS = CP-SP,
SP-CP = CP-SP,
SP+SP = CP+CP,
1920 + 1280 = 2CP,
3200/2 = CP.
1600 = CP.
SP = %PROFIT* CP.
SP = 100+25/100 * 1600,
SP = 125/100 * 1600,
SP = 2000.
LOSS = CP-SP,
SP-CP = CP-SP,
SP+SP = CP+CP,
1920 + 1280 = 2CP,
3200/2 = CP.
1600 = CP.
SP = %PROFIT* CP.
SP = 100+25/100 * 1600,
SP = 125/100 * 1600,
SP = 2000.
(157)
Vaibhav said:
3 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)
Maha_Lakh said:
4 years ago
Given :
Selling price with profit = 1920/-
Selling price with loss= 1280/
1920 - 1280 =640
RS.640 is loss.
Here Profit==Loss
So,
Half the amount is profit . that is RS.320/- ]
Cost price =selling price-profit.
= 1920 - 320,
=> 1600/
-
What is 25% in 1600/-
25/100 * 1600 = 400.
cp + profit(25%) = sp.
then, 1600+400 = 2000/- that is the selling price with 25%..
Selling price with profit = 1920/-
Selling price with loss= 1280/
1920 - 1280 =640
RS.640 is loss.
Here Profit==Loss
So,
Half the amount is profit . that is RS.320/- ]
Cost price =selling price-profit.
= 1920 - 320,
=> 1600/
-
What is 25% in 1600/-
25/100 * 1600 = 400.
cp + profit(25%) = sp.
then, 1600+400 = 2000/- that is the selling price with 25%..
(11)
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