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CAT 1995 | Question: 184

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A company produces five types of shirts - A, B, C, D, E - using cloth of three qualities - High, Medium and Low - using dyes of three qualities - High, Medium, and Low. The following tables give, respectively: 1.  The number of shirts (of each category) produced, in thousands. 2. The percentage distribution of cloth quality in each type of shirt, and 3. The percentage distribution of dye quality in each type of shirt.
 
Note: Each shirt requires 1.5 metres of cloth

How many metres of low-quality cloth is consumed?

  1. 22,500 
  2. 46,500
  3. 60,000 
  4. 40,000

1 Answer

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Total numbers of low-quality cloths = (30% * 30,000 ) + ( 30% * 30,000 ) + ( 40% * 10,000 ) + ( 90% * 10,000 )

                                                        = 9000 + 9000 + 4000 + 9000 = 31,000

∴ 31,000 shirts consumed ( 31,000 * 1.5 )m = 46,500m of cloths

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