When a discount of 20% is given on a monthly train pass, the profit is 44%. If the discount is 29%, then the profit is ________.

Let the Cost Price (CP) of the train pass be 100.
When the profit is 44%, the Selling Price (SP
1
​
) is:

SP
1
​
=144
This selling price is obtained after offering a 20% discount on the Marked Price (MP):

SP
1
​
=80% of MP
144=0.80×MP
MP=
0.80
144
​
=180
Now, a new discount of 29% is given on the Marked Price:

New Discount=29% of 180=
100
29
​
×180=52.2
New Selling Price (SP
2
​
)=180−52.2=127.8
Since the Cost Price (CP) is 100 and the new Selling Price is 127.8, the new profit percentage is:

Profit %=127.8−100=27.8%