Question

a manufacturer undertakes to supply 2000 pieces of particular component at Rs.25 per piece. According to his estimates,even if 5 % fail to pass the quality tests, then he will make a profit of 25%. However, as it turned out , 50% of components were rejected.What is the loss to the manufacturer?

Answer 1

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Answer 2

The loss to the manufacturer is Rs.13,000.

Step-by-step explanation:

Total number of component = 2000.

If 5 % fail to pass the quality tests,

Number of non-deffective component is given by,

$n=2000 - 5\% \text{ of } 2000$

$n=2000 - 0.05\times 2000$

$n=2000 - 100$

$n=1900$

Particular component at Rs.25 per piece.

Selling price of 1900 component is

$SP=1900\times 25 = 47500$

This content 25% profit of the manufacturer.

Let total manufacturing price of the component be 'x'.

According to question,

$x+ 25\% \text{ of } x= 47500$

$x+0.25x= 47500$

$1.25x= 47500$

$x=\frac{47500}{1.25}$

$x=38000$

The cost price is Rs.38000.

50% of components were rejected.

If 50 component i.e. 1000 components are defective. then

Total collection $SP= 25\times 1000 = 25000$

The selling price is Rs.25000.

The loss is given by,

Loss = SP-CP

Loss = 38000 - 25000

Loss = Rs.13,000

Therefore, the loss to the manufacturer is Rs.13,000.

#Learn more

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