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The number of white shirts produced in unit U is how much percent less than the number of black shirts produced in unit P?
40%
50%
30%
65%
None of the above
30%
Calculate individual share values: Black in P is 10/19 of 5225 and White in U is 7/18 of 4950. Simplify fractions early to avoid large multiplication.
For Unit P: Total = 5225, Black:White = 10:9. For Unit U: Total = 4950, Black:White = 11:7.
Required┬аPercent=BlackPтАЛBlackPтАЛтИТWhiteUтАЛтАЛ├Ч100%
Calculate individual share values: Black in P is 10/19 of 5225 and White in U is 7/18 of 4950. Simplify fractions early to avoid large multiplication.
Students often misinterpret 'percent less than' and use the wrong base, dividing by the White shirts of U instead of the Black shirts of P.
Calculate Black shirts in Unit P
Total shirts for P is 5225 with a ratio of 10:9. Black shirts are 10/19 of the total.
BlackPтАЛ=1910тАЛ├Ч5225=10├Ч275=2750
Calculate White shirts in Unit U
Total shirts for U is 4950 with a ratio of 11:7. White shirts are 7/18 of the total.
WhiteUтАЛ=187тАЛ├Ч4950=7├Ч275=1925
Calculate the percentage difference
Find how much less WhiteUтАЛ is than BlackPтАЛ relative to BlackPтАЛ.
Difference=2750тИТ1925=825,%Less=2750825тАЛ├Ч100
Simplify final result
Performing the final division: 825/2750=82.5/275=0.3.
0.3├Ч100=30%
C is correct because the number of white shirts in unit U (1925) is 825 less than the number of black shirts in unit P (2750), which is 30% of 2750.
In Data Interpretation, always identify the 'base' value indicated by the word 'than'тАФwhatever follows 'than' is your denominator.