The ratio of the cost price of an article to its selling price is 432:612. The profit percentage (rounded off to 2 decimal places) on it is:

Let the Cost Price (CP) be 432 and the Selling Price (SP) be 612.
The Profit is given by:

Profit=SP−CP=612−432=180
The Profit Percentage formula is:

Profit%=(
CP
Profit
​
)×100
Profit%=(
432
180
​
)×100
Simplifying the fraction
432
180
​
by dividing numerator and denominator by 36:

432÷36
180÷36
​
=
12
5
​

Now, calculate the percentage:

Profit%=
12
5
​
×100=
12
500
​
≈41.666%≈41.66%
Therefore, the profit percentage is 41.66%.