The length
11 m 11 25 m 275 mx
and the breadth
4 m 4 25 m 100 mx
Hence, the dimensions of the plot are, length = 275 m and breadth = 100 m.
Question 7
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 3 meters of the shirt material he buys 2 metres of the trouser material.
He sells the materials at 12% and 10% profit respectively.
His total sale is Rs.36, 600. How much trouser material did he buy?
Answer:
200 m
Solution:
Given:
The rate of the shirt material = Rs.50 per meter
The rate of the trouser material = Rs.90 per meter
The profit on the shirt material = 12%
The profit on the trouser material = 10%
The total sale price = Rs.36600.00
Since the profit on the cost price of the shirt material = 12%, therefore, the sale
price of the material = cost price + 12% of cost price
12
.50.000 .50.00
100
Rs Rs
Since, the profit on the cost price of the trouser material = 10%, therefore, sale
price of the trouser material = cost price of trouser material + 10% of cost price
10
.90.000 .90.00
100
Rs Rs
Let the shirt material and the trouser material being purchased by Hasan be
and
respectively.
Total sale price = Total sale price of the shirt material + Total sale price of
the trouser material
3 .56 2 .99x Rs x Rs
(Dividing both sides by 366)
Thus, Hasan bought 200 m of trouser material.