SOLUTION: a factory produces an average of one defective unit after 100 non defective units. the cost of the producing one unit is Rs. 15. the defective unit also cost Rs 15 but sold as scra

Algebra ->  Equations -> SOLUTION: a factory produces an average of one defective unit after 100 non defective units. the cost of the producing one unit is Rs. 15. the defective unit also cost Rs 15 but sold as scra      Log On


   



Question 1011281: a factory produces an average of one defective unit after 100 non defective units. the cost of the producing one unit is Rs. 15. the defective unit also cost Rs 15 but sold as scrap for Rs. 5. Determine the selling price of the non defective unit if the manufacturer wants to earn a profit of 25% of total sales.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = number of units
+.1n+ = number of defective units
+.99n+ = number of non-defective units
Let +p+ = selling price of a non-defective unit
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Profit = Total sales - Cost
Cost = +15n+
Total sales = +5%2A%28.1n+%29+%2B+p%2A%28+.99n+%29+
Total sales = +.5n+%2B+.99p%2An+
Profit = +.5n+%2B+.99p%2An+-+15n+
Profit = .25*( total sales )
+.5n+%2B+.99p%2An+-+15n+=+.25%2A%28+.5n+%2B+.99p%2An+%29+
+.75%2A%28+.5n+%2B+.99p%2An+%29+=+15n+
Divide both sides by +n+
+.75%2A%28+.5+%2B+.99p+%29+=+15+
+.5+%2B+.99p+=+20+
+.99p+=+19.5+
+p+=+19.697+
Selling price is Rs 19.7
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Check with +n+=+1+
Total sales = +.5+%2B+.99p+
Total sales = +.5+%2B+.99%2A19.697+
Total sales = +.5+%2B+19.5+
Total sales = +20+
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Profit = +.5+%2B+.99p+-+15+
Profit = +20+-+15+
Profit = +5+
Profit = .25*( total sales )
+5+=+.25%2A20+
+5+=+5+
OK
Check my math and get a 2nd opinion
if possible