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**Hint:**Find the volume of the wall and deduct \[10\% \] of the wall which is filled with mortar, and find the volume of a single brick and divide both to find the number of bricks used in the wall and find the cost using the condition given.

**Complete step-by-step answer:**Given, Cost of 1000 bricks is Rs.350.

So, the cost of a single brick is \[Rs0.35\] .

Dimensions of a single brick is \[25cm \times 16cm \times 10cm\] ,

Here L = 25cm, B = 16cm, and W = 10cm.

Let’s use it and calculate the volume of the single brick.

So, the volume of a single brick is \[25cm*16cm*10cm = 4000c{m^3}\] .

Dimensions of the wall is \[24m \times 6m \times 0.4m\] ,

Here L = 25cm, B = 16cm, and W = 10cm.

Let’s use it and calculate the volume of the single brick.

So, the volume of the wall is \[24m*6m*0.4m = 57.6{m^3}\] .

Provided \[10\% \] of the wall is filled with mortar, so the volume of the mortar used in the wall is

\[ \Rightarrow 10\% {\rm{ }}of{\rm{ }}57.6\]

\[ \Rightarrow \dfrac{{10}}{{100}}*57.6\]

\[ \Rightarrow 5.76{m^3}\]

So, the volume of the mortar used in the wall is \[5.76{m^3}\] .

So, the volume of the bricks used in the wall is \[57.6{m^3} - 5.76{m^3} = 51.84{m^3}\]

Number of bricks used in the wall= (Volume of the wall excluding \[10\% \] volume of mortar) / (Volume of a single brick).

Number of bricks used in the wall is,

\[ \Rightarrow \dfrac{{51.84{m^3}}}{{4000c{m^3}}}\]

\[ \Rightarrow \dfrac{{51.84 \times 1000000}}{{4000}}\]

\[ \Rightarrow 12960Bricks\]

So, 12960 bricks were used in the wall.

If 1000 bricks costs Rs.350, then 1 brick costs Rs. \[\dfrac{{350}}{{1000}}\] .

So, the cost of a single brick is \[Rs0.35\] .

So, the cost of 12960 bricks is=\[0.35 \times 12960 = Rs4536\] .

**That means Option C is correct \[Rs4536\] .**

**Note:**When \[n\] units cost \[Rs.x\] , then 1 unit costs \[Rs\dfrac{x}{n}\] . Wall contains bricks and mortar, to calculate the volume of bricks used, the volume of mortar has to be deducted for the exact volume of bricks used in the wall.

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