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 1 of 10.
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)
Sandeep said:
3 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)
Arisom Saha said:
8 months ago
Amazing explanation. Thanks all.
Harshit kaushik said:
1 year 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.
(17)
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.
(59)
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:
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)
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.
(161)
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