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dalton200166
12.08.2020 •
Mathematics
the production of a printer consists of the cost of raw material at 100 dollars the cost of overheads at 80$ and wages at 120$ if the cost of raw materials and overheads are increased by 11% and 20% respectively while wages are decreased by 15% find the percentage increase or decrease in the production cost of the printer
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Ответ:
The percentage increase in the production cost of the printer is 3%.
Step-by-step explanation:
We are given that the production of a printer consists of the cost of raw material at 100 dollars the cost of overheads at 80$ and wages at 120$.
Also, the cost of raw materials and overheads are increased by 11% and 20% respectively while wages are decreased by 15%.
Cost of raw material = $100
Cost of overheads = $80
Cost of wages = $120
So, the total cost of the printer = $100 + $80 + $120
= $300
Now, the increase in the cost of raw material = $100 + 11% of $100
=![\$100 + (\frac{11}{100} \times \$100)](/tpl/images/0719/4910/5638b.png)
= $100 + $11 = $111
The increase in the cost of overheads = $80 + 20% of $80
=![\$80 + (\frac{20}{100} \times \$80)](/tpl/images/0719/4910/1498b.png)
= $80 + $16 = $96
The decrease in the cost of wages = $120 - 15% of $120
=![\$120 - (\frac{15}{100} \times \$120)](/tpl/images/0719/4910/debdf.png)
= $120 - $18 = $102
So, the new cost of a printer = $111 + $96 + $102 = $309
Now, the percentage increase in the production cost of the printer is given by;
% increase =![\frac{\text{Net increase in the cost of printer}}{\text{Original cost of printer}} \times 100](/tpl/images/0719/4910/651a6.png)
=![\frac{\$309- \$300}{\$300} \times 100](/tpl/images/0719/4910/cfc45.png)
= 3%
Hence, the percentage increase in the production cost of the printer is 3%.
Ответ:
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