By selling an article for Rs. 450. 1 lose 20% For what price should i sell it to gain 20%

By selling an article for Rs. 450. 1 lose 20% For what price should i sell it to gain 20%
1). Rs.490
2). Rs. 675
3). Rs.470
4). Rs.562.50

I am not sure, may be Rs. 675 is correct

C.P. of article $=\frac{100}{100-20}\times 450$ $=\frac{100\times 450}{80}= 562.5 Rs.$ $\therefore$ To gain 20 % $S.P.=\frac{562.5\times 120}{100}=675 Rs.$

Let CP= X SP= ₹450 (Given) According to Question , agar hum article Ko 450 per bech re h to 20% ka nuksaan hora hai. Iska mtlb h CP > SP Therefore, X - 20% of X = 450 X - 20X/100 = 450 80X/100 = 450 X= 45000/80 X= 562.5 I.e. CP= ₹562.5 Now according to Question for what price should we sell it to gain 20%. . Or 20% ki fraction value Hoti hai 1/5 Therefore , 20% of 562.5 + 562.5 562.5/5 + 562.5 112.5 + 562.5 => ₹675

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