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

A. Rs. 1,200

B. Rs. 1,000

C. Rs. 960

D. Rs. 900

**Answer: Option A **

__Solution(By Examveda Team)__

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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## Comments ( 5 )

Related Questions on Profit and Loss

A. 45 : 56

B. 45 : 51

C. 47 : 56

D. 47 : 51

A. Rs. 2600

B. Rs. 2700

C. Rs. 2800

D. Rs. 3000

A. A neither losses nor gains

B. A makes a profit of 11%

C. A makes a profit of 20%

D. B loses 20%

A. Rs. 3,750

B. Rs. 3,250

C. Rs. 2,750

D. Rs. 2,250

@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

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?

I know.................

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

Correct Answer = A