A businessman boughtanarticleandsolditatalossof 5% less if he had boughtitfor10% less and sold it for rs.33more he wouldhavehad a profit of 30% thecpofthearticleis?
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A businessman bought an article and sold it at a loss of 5% less if he had bought it for 10% less and sold it for rs.33 more he would have had a profit of 30% the cp of the article is.
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Let the CP1 of article = 100x
Initial SP1 = 100x - 5% of 100x = 100x - 5x = 95x
Now, If He brought article at 10% discount. Therefore CP2 = 90x
Now SP2 = 90x + 30% of 90x = 90x + 27x =117x
According to question
SP2 - SP1 = 33
⇒ 117x - 95x = 33
⇒ 22x = 33
⇒ x = 3322
⇒ x = 32
Initial Cost of article
= 100 × 32
= Rs. 150
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