An article is sold at a profit of 30%. If both cost price and selling price of the article are decreased by ₹100, the profit now would be 45%. The original cost price of the article is:

₹300

Let the original cost price of the article be m.

Old selling price at 30% profit will be = 1.3m

both cost price and selling price of the article are decreased by Rs.100

New CP = m -100 and new SP = 1.3m – 100

Profit percentage = 45

45 = \(\frac{(1.3m - 100 ) – (m - 100)}{ m - 100}\) × 100

 = 0.45m - 45 = 1.3m - 100 - m + 100

= 0.45m - 0.3m = 45

= 0.15m = 45

m = 300