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Question

A firm of readymade garments make both men's and women's shirt. Its profit average is 6% of sales. Its profits in men's shirt average 8% of sales and women's shirts comprise 60% of output. The average profit per sales rupee in women's shirts is :

A
0.0466
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B
0.0166
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C
0.0666
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D
None of these
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Solution

The correct option is A 0.0466
Here ¯¯¯x=6,¯¯¯¯¯x1=8,n1=40,n2=60.
Assuming that the total output is 100, we are required to find out ¯¯¯¯¯x2, we know that
¯¯¯x=n1¯¯¯¯¯x1+n2¯¯¯¯¯x2n1+n2=40×8+60¯¯¯¯¯x240+60
6=320+60¯¯¯¯¯x2100¯¯¯¯¯x2=60032060=28060=4.66
Thus, the average profit in womens shirt is 4.66% of sales or Rs 0.0466 per sale rupee.

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