The number of tables that can be purchased by a person in Rs.2800 gets reduced by 20 if the price is increased by 40%. What is the initial price of each table?

The number of tables that can be purchased by a person in Rs.2800 gets reduced by 20 if the price is increased by 40%.

Let's assume the initial price of each table is Rs. 'R' and the number of tables that can be bought initially is 'T'.

RT = 2800    Eq.(i)

140% of R $$\times$$ (T-20) = 2800    Eq.(ii)

Equating Eq.(i) and Eq.(ii).

140% of R $$\times$$ (T-20) = RT

1.4(T-20) = T

1.4T-28 = T

0.4T = 28

T = 70

Put the value of 'T' in Eq.(i).

70R = 2800

initial price of each table = R = Rs. 40