The cost of making a rectangular table is calculated by adding two variables. The first is proportional to the area of the table and the other to the square of the length of the longer side. In making 2 m x 3 m table it costs ₹ 5,000 and in making a 1.5 m x 4 m table, it cost ₹ 6,400. The cost of making a 2.5 m x 2.5 m table is (nearest to a rupee)

Let cost of making a table = $$C=X+Y$$ -----------(i)

Now, $$X=k_1A$$, where $$A$$ is area of table

and $$Y=k_2l^2$$, where $$l$$ is length of longer side of table

In making 2 m x 3 m table it costs ₹ 5,000

=> $$C=(6k_1)+(9k_2)=5000$$ ------------(ii)

Similarly, $$6k_1+16k_2=6400$$ -------------(iii)

Subtracting equation (ii) from equation (iii), we get :=> $$7k_2=1400$$

=> $$k_2=\frac{1400}{7}=200$$

Similarly, $$k_1=\frac{3200}{6}$$

Now, for a table having dimension 2.5 m x 2.5 m

=> Cost = $$(6.25\times\frac{3200}{6})+(6.25\times200)$$

= $$6.25\times(\frac{3200}{6}+200)$$

= $$6.25\times\frac{4400}{6}\approx Rs.$$ $$4,583$$

=> Ans - (B)