Two articles ‘A’ and ‘B’ are sold at a profit of 12% and 40% respectively. If the selling price of both the articles is same, then the cost price of ‘A’ and ‘B’ may be:Options3000, 35002500, 20001500, 9002000, 1800

Let's denote the selling price of both articles as 'S'.

Since the profit for article 'A' is 12%, the cost price of 'A' can be calculated as follows: Cost price of 'A' = S / (1 + 12/100) = S / 1.12

Similarly, since the profit for article 'B' is 40%, the cost price of 'B' can be calculated as follows: Cost price of 'B' = S / (1 + 40/100) = S / 1.4

Given that the selling prices of both articles are the same, the cost prices of 'A' and 'B' are inversely proportional to their respective profit percentages.

Therefore, we can set up the following proportion: Cost price of 'A' / Cost price of 'B' = 1.4 / 1.12

Solving this proportion gives us the ratio of the cost prices of 'A' and 'B'.

Now, we can check the given options to see which pair of numbers fits this ratio.

Option 1: 3000 / 3500 = 0.857 Option 2: 2500 / 2000 = 1.25 Option 3: 1500 / 900 = 1.67 Option 4: 2000 / 1800 = 1.11

None of these options exactly match the ratio we calculated, but option 4 is the closest. Therefore, the cost prices of 'A' and 'B' are most likely 2000 and 1800 respectively.