A businessman bought an article and sold it at a loss of 5% . If he had bought it for 10% less and sold it for Rs. 33 more, he would have had a profit of 30% . The cost price of the article is = ?

Solution (By Examveda Team)

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 = $$\frac{33}{22}$$
⇒ x = $$\frac{3}{2}$$
Initial Cost of article
= 100 × $$\frac{3}{2}$$
= Rs. 150