A person sells an article at Rs 200 and gets a profit of 33.33% . At what he should sell the article so that he may earn a profit of 10%.
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Let CP be X
SP = Rs 200
Profit % = 33.33% = 100/3%
CP = 100/3% of X + X =200
= 100/300*X + X = 200
= X/3 + X =200
= X/3 + 3X/3 =200
= 4X/3 =200
= 4X = 200*3
= X = 600/4
= X = 150
To earn a profit of 10 %
CP = 150
New profit% = 10%
New Profit. = 10% of 150
= 10/100*150
= 1500/100
= 15
New SP = CP + profit
= 150 + 15
= RS 165
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