(b) Abizigen buys two kinds of cloth material for school uniforms, shirt material which costs him Rs.50 per
metre and trouser material that costs him Rs.90 per metre. For every 2m of the trouser material, he buys 3m
of the shirt material. He sells the material at 12% and 20% profit, respectively. His total sale is Rs.31860.
How much trouser material did he buy?
Answers
Answer:
200m
Step-by-step explanation:
According to the question, Trouser material and shirt material are purchased in the ratio of 2:3 by him
Let 2x m of trouser material and 3x m of shirt material be purchased by him.
Given that,
Cost price of the shirt per metre = ₹50 and Profit % = 12%
Cost price of the trouser per metre = ₹90 and Profit % = 10%
We know that,
Selling price = Cost Price + Profit
where, Profit = Profit% × Cost Price
Thus, per metre selling price of trouser material
= ₹ [90 + (90 × 10/100)]
= ₹99
Per metre selling price of shirt material
= ₹ [50 + (50 × 12/100)]
= ₹56
Since the total sales made is ₹36,660, we get
Total selling price of trousers + Total selling price of shirt = 31860
99 × (2x) + 56 × (3x) = 31860 [Since the number of trousers and shirts are 2x and 3x respectively]
198x + 168x = 31860
318x = 31860
x = 100 (approx.)
Thus, trouser material = 2x m
= (2 × 100) m
= 200 m
Therefore, the trouser material that he bought was 200 m