The dimension of rectangular compound wall of a house is 20 m long , 15m broad, 10 cm thick. Find the cost of building the walls by using bricks of size 20cm × 10cm × 5 cm where the rate of cost of bricks is Rs. 20000per 1000 bricks. 5days is required for 4 labours to finish the work and labour charge is Rs. 950 per day per labour.

Respuesta :

Answer:

Total cost of building the wall is Rs 79000.

Step-by-step explanation:

Given:

Dimension of the wall = (20×15×0.1) m

Dimension of the bricks = (0.2×0.1×0.5) m

All measurements are in meters as we know, [tex]1\ cm = \frac{1}{100}\ m[/tex]

We have to find the cost of building the wall.

Cost of the building the wall = Cost of bricks + Cost of labor.

Before that we have to find the number of bricks required.

So,

⇒  [tex]No.\ of\ bricks=\frac{Volume\ of\ the\ wall}{Volume\ of\ one\ bricks} = \frac{20\times 25\times 0.1}{0.2\times 0.1\times 0.5} = 3000[/tex] bricks.

⇒ [tex]Rate\ of\ one\ bricks:\frac{20000}{1000}=Rs\ 20[/tex]

Cost of all 3000 bricks :

⇒ [tex]Bricks\ cost = 3000\times 20 =Rs\ 60000[/tex]

Cost of 4 labors for 5 days at the cost of Rs 950 per day:

⇒ [tex]Labour\ cost=4\times 5\times 950=Rs\ 19000[/tex]

Total cost of building the wall:

[tex]Total\cost= Rs\ (19000+60000)=Rs\ 79000[/tex]

Total cost of building the wall is Rs 79000.