There is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio 11:4. At the rate Rs100 per metre it will cost the village panchayat Rs 75000 to fence the plot. What are the dimensions of the plot?
Let the length and breadth of the plot be l = 11x and b = 4x respectively.
Since the plot is of rectangular shape and we the perimeter of a rectangle is 2(l + b)
Also, rate of fencing the plot is Rs 100 for 1m
Now, 2(l + b)
= 2(11x + 4x)
= 2(15x) = 30x
Therefore cost of fencing 30x m will be,
30x * 100 = 75000
3000x = 75000
x = 25
Thus, the length = 11*(25) = 275 m
And the breadth = 4*(25) = 100 m
Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him Rs 50 per metre and trouser material that costs him Rs 90 per metre.
For every 2 meters of the trouser material he buys 3 metres of the shirt material.
He sells the materials at 12% and 10% profit respectively. His total sale is Rs 36,660. How much trouser material did he buy?