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What is the average number of black shirts produced in unit Q, R and S?
1700
1850
1500
1650
None of the above
1850
Calculate each part as TotalBlack×Total. For Q: (9/14)×3150=2025. For R: (7/15)×5625=2625. For S: (4/17)×3825=900.
Production units: Q (3150 shirts, 9:5 ratio), R (5625 shirts, 7:8 ratio), S (3825 shirts, 4:13 ratio).
Average=3∑Black Shirts
Calculate each part as TotalBlack×Total. For Q: (9/14)×3150=2025. For R: (7/15)×5625=2625. For S: (4/17)×3825=900.
Many students miscalculate the sum of the ratio parts (e.g., 9+5=14, 7+8=15, 4+13=17) or fail to correctly simplify the divisions.
Calculate black shirts for Q
Ratio of Black to White is 9:5, sum of parts =9+5=14. Black shirts in Q =(9/14)×3150=9×225.
9×225=2025
Calculate black shirts for R
Ratio of Black to White is 7:8, sum of parts =7+8=15. Black shirts in R =(7/15)×5625=7×375.
7×375=2625
Calculate black shirts for S
Ratio of Black to White is 4:13, sum of parts =4+13=17. Black shirts in S =(4/17)×3825=4×225.
4×225=900
Find the average
Average =(2025+2625+900)/3=5550/3.
35550=1850
B is correct because the average number of black shirts for Q, R, and S is calculated as 1850.
Always simplify fractions by identifying common factors in the denominator before multiplying to save time in competitive exams.
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