# Textile Calculation

Problems and solutions of textile

## Costing of Folded Yarns Calculation with Example

Costing of Folded Yarns Calculation with Example
Mayedul Islam
Assistant Chemist

Costing of Folded Yarn
The cost of folded yarn is the sum of the cost of the component threads required and the cost of folding. The quantity of component threads required includes also waste made during the process of folding. This may or may not be significant.
 Costing of folded yarn
The following formula will be used during calculating costing of folded yarns:

Cost of folded yarn,

= Cost of folding + {(weight of component thread A required × it’s price per unit weight) +
(weight of component thread B required × it’s price per unit weight)}

Where A, B are the component threads of which the folded yarn is composed.

Example:
A folded yarn is composed of one thread of 14 tex and the other of 12 tex. The price per kg. of 14 tex and 12 tex threads are Rs. 9.00 and Rs. 10.00 respectively. If the cost of folding pr kg. is Re. 0.35, calculate the cost of 1 kg. of the folded yarn. Ignore waste and contraction due to twisting.

Solution:

Quantity of yarn in 1 kg. of folded yarn,

= Quantity of 14 tex thread in 1 kg. of folded yarn + Quantity of 12 tex thread in 1 kg. of folded yarn.

Now,

1 kilometer of folded yarn will contain 1 kilometer of 14 tex and 1 kilometer of 12 tex thread. The weight of 1 kilometer of 14 tex thread is 14 grammes. And that of 12 tex is 12 grammes.

Therefore, 1 kilometer of folded yarn will weight (14+ 12) = 26 grammes.
Therefore, 26 grammes of folded yarn contains 14 grammes of 14 tex thread.
Therefore, 1 kg. (1000 grammes of folded yarns contains,

14
= ……… kg of 14 tex thread.
26

= 0.5385 kg.

Therefore,

1 kg. of folded yarns contains (1 – 0.5385) = 0.4615 kg. of 12 tex thread.

Price of 0.5385 kg. of 14 tex thread = 0.5385 × 9

= Rs. 4.8465

And,

Price of 0.4615 kg. of 12 tex thread = Rs. 0.4615 × 8

= Rs. 3.692

Therefore, the price of the component thread in 1 kg. of folded yarn,

= Rs. 4.8465 + Rs. 3.692
= Rs. 8.54

Therefore, cost of 1 kg. folded yarn,

= Rs. 8.54 + Re. 0.35
= Rs. 8.89

So, the cost of 1 kg. of the folded yarn is Rs. 8.89.