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Profit and Loss
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If a man were to sell his chair for Rs. 720, he would lose 25%. To gain 25% he should sell it for:

Answer & Solution
Correct Answer: Option A
Let the Cost price of the Chair is X.
SP = X - 25% of X
720 = 0.75X
X = 960
CP = Rs. 960
So, To gain 25%, SP would be
= 960 + 25% of 960 =Rs. 1200

Short-cut
CP of chair = $$\frac{{100}}{{75}}$$ × 720 = Rs. 960
To gain 25%, SP = $$\frac{{125}}{{100}}$$ × 960 = Rs. 1200
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8 Comments
Kumar Deshmukh
Kumar Deshmukh 4 years ago
Here 25% profit and 25 %loss
Always there is loss
So 25/100=1/4
Here loss so cp will be 4 and sp will be 3
But given selling price 720 /we calculated 3 = 240
Times240 so our cost price will be 240 times of4=960
Md Marjan
Md Marjan 4 years ago
720*125/75=1200
SUMITRA MUDULI
SUMITRA MUDULI 5 years ago
Loss 25%=1/4
Let Here cp-4 sp-3
3-720
1ratio - 240
Then cp - 240×4 =960
Gain 25% = 1/4
Let Here cp 4. Sp 5
4-960
1 ratio -240
Sp =240×5 = 1200👍
Sadman Mohammed
Sadman Mohammed 8 years ago
@sarvesh kumar

A's 20% profit,
A's sp= 120/100= 6/5= B's cp
so A:B=6:5
C's cp=B's sp =144
B's 4%loss,
B= 24/25
B:C=25:24

A:B:C=30:25:24

c sp=24=144
so 25=150
30= 6*30=180
A=180
Sarvesh Kumar
Sarvesh Kumar 8 years ago
A sell an article to be at profit of 20%.b sells it to c at loss of 4%.what does it cost a if c has paid rs 144?
Sumit Malhotra
Sumit Malhotra 9 years ago
I know.................
Firdous Fouzia
Firdous Fouzia 9 years ago
Given That
loss 100-25=75%
for 75% its 720
then for profit of 25%
i.e 100+25=125% its x(say)
75-->720
125-->x
do cross multiplication
x=720*125/75=1200
Sudhakar Prajapati
Sudhakar Prajapati 11 years ago
Correct Answer = A