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:
95 comments Page 3 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).
Vishal thakur said:
3 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)
Dharm said:
1 decade ago
If the percentage of profit and loss is same, the C.P. is in the middle of both selling prices so you can apply the formula.
C.P= (SP1+SP2)/2=(1920+1280)/2=1600.
Now you want 25% profit means the new S.P is 1600+25%of it.
=1600+400=2000.
C.P= (SP1+SP2)/2=(1920+1280)/2=1600.
Now you want 25% profit means the new S.P is 1600+25%of it.
=1600+400=2000.
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)
Mr Pankaj said:
8 years ago
Simple method :
SP:1920 at Gain of x
SP: 1280 at loss of x
Gain = (1920-1280)/2
= 320
CP : 1920-320 = 1600
Now,
Gain is 25%
25= Gain*100/CP
Therefore
Gain = 25*1600/100= 400.
SP for Gain 25% is CP+gain = 1600+400= 2000.
SP:1920 at Gain of x
SP: 1280 at loss of x
Gain = (1920-1280)/2
= 320
CP : 1920-320 = 1600
Now,
Gain is 25%
25= Gain*100/CP
Therefore
Gain = 25*1600/100= 400.
SP for Gain 25% is CP+gain = 1600+400= 2000.
Harsh said:
7 years ago
Earned profit on selling at 1920 = beared loss on sold at 1280.
There sum= 1920+1280=3200,
So the base price is with no profit no loss=3200/2=1600,
To make a profit of 25% on 1600=1600*25/100=400,
So total =1600+400=rs 2000.
There sum= 1920+1280=3200,
So the base price is with no profit no loss=3200/2=1600,
To make a profit of 25% on 1600=1600*25/100=400,
So total =1600+400=rs 2000.
A.KARTHIKA said:
1 decade 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.
Prasad said:
1 month ago
@All.
Here is my solution:
Solution:
Step 1: 1920 − CP = CP − 1280.
Step 2: 2CP = 3200,
Step 3: CP = 1600,
Step 4: For 25% profit → ratio = 4 : 5,
Step 5: 4 parts = 1600 → 1 part = 400,
Step 6: SP = 5 × 400 = 2000.
Here is my solution:
Solution:
Step 1: 1920 − CP = CP − 1280.
Step 2: 2CP = 3200,
Step 3: CP = 1600,
Step 4: For 25% profit → ratio = 4 : 5,
Step 5: 4 parts = 1600 → 1 part = 400,
Step 6: SP = 5 × 400 = 2000.
(1)
Soni bb said:
1 decade ago
If profit on condition 1 and loss on codition 2 is same
then, cost prise=1280+1920/2
=1600
after that on 25% profit=1600*125/100
=2000
that prove that c is the ans.
then, cost prise=1280+1920/2
=1600
after that on 25% profit=1600*125/100
=2000
that prove that c is the ans.
AKASH CHAKRABORTTY said:
7 years ago
let, x=profit.
The percentage is always calculated base upon the cost price.
so, 1920-x=1280+x,
x=320.
cost price=1280+320=1600,
Gain = 25*1600/100= 400.
SP for Gain 25% is CP+gain = 1600+400= 2000.
The percentage is always calculated base upon the cost price.
so, 1920-x=1280+x,
x=320.
cost price=1280+320=1600,
Gain = 25*1600/100= 400.
SP for Gain 25% is CP+gain = 1600+400= 2000.
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