Let the cost price of dining set = Rs x
So,
C.P. = (S.P. *100 )/(100 + gain%)
x = (6000 * 100 )/ (100 + 20 )
x=(600000)/120
x=5000
Thus, cost price of dining set is Rs 5000
Now,
Let, To increase her profit 5%, Seeta sells her dining set in Rs y.
So, S.P. of dining set= Rs y
And, profit = 20% + 5% = 25%
Thus,
S.P. = ((100+gain%)/100)*C.P.
y = ((100+25)/100)*5000
y=125*5000/100
y=6250
Hence, S.P. of dining set is Rs 6250