HEYA❤❤❤
Gaurav bought two kinds of dress materials for making dresses . He bought shirt material for 50 rupees per metre and trouser material for 90 rupees per metre. For every 2 meters of the trouser material he bought 3 metres of the shirt material. He sells the materials at 12% and 10% profit respectively. His total sale is 36,600. how much trouser material he bought?
Answers
Given, Rate of shirt material = Rs 50 per meter
Rate of trouser material = Rs 90 per meter
Profit on shirt material = 12%
Profit on trouser material = 10%
Total sale price = Rs 36600.00
Since profit on the cost price of shirting material = 12%
Therefore, sale price of shirting material = cost price + 12% of cost price
R
s
.
50
+
R
s
.50
×
12
100
=
R
s
.50
+
R
s
.6
=
R
s
.56
Therefore,sale price of shirt material=Rs 56.00
Since, profit on the cost price of trouser material = 10%
Therefore, sale price of trouser material = cost price of trouser material + 10% of cost price
R
s
.90
+
R
s
.90
×
10
100
=
R
s
.50
+
R
s
.9
=
R
s
.99
Therefore,sale price of trouser material=Rs 99.00
Now,since gaurav buys 3m of shirt material for every 2 m of trouser material
Thus, let he buys
3
x
m of shirting material and
2
x
m of trousers material
Total sale price = Total SP of shirting material + Total SP of trouser material
Or,
R
s
.36600
=
3
x
×
R
s
.56
+
2
x
×
R
s
.99
Or,
R
s
.36600
=
R
s
.168
x
+
R
s
.198
x
Or,
R
s
.36600
=
R
s
.366
x
After dividing both sides by 366 we get:
36600
366
=
366
x
366
Or,
x
=
R
s
.100
Since, purchase of trouser material
=
2
x
So, after substituting the value of x, we get
Purchase of trouser material
=
2
×
100
=
200
m
Thus, gaursv buys 200 m of trouser material.
Answer:
Step-by-step explanation: