A dealer allows his customers a discount of 25% and still gains 25%. If an article costs Rs. 1600 to the dealer, then its marked price (nearest to one rupee) is:

We can use the direct formula relating Marked Price (MP) and Cost Price (CP):
CP
MP
​
=
100−Discount %
100+Profit %
​

Given:

CP=Rs. 1600

Profit Percentage=25%

Discount Percentage=25%

Substitute the values:

1600
MP
​
=
100−25
100+25
​

1600
MP
​
=
75
125
​

Simplify the fraction
75
125
​
by dividing by 25:

1600
MP
​
=
3
5
​

MP=
3
5×1600
​
=
3
8000
​
≈2666.67
Rounding to the nearest rupee, the marked price is Rs. 2667.