Direction: Read the following table carefully and answer the following questions
The following table shows three types of Articles (chair, table and cupboard) manufactured in 4 companies
Shop |
Total number of cupboard manufactured |
Percentage of steel cupboard |
Ratio of number Tables and Chairs manufactured |
Total number of articles manufactured |
A |
48 |
50% |
7 ∶ 4 |
114 |
B |
80 |
37.5% |
15 ∶ 8 |
126 |
C |
72 |
25% |
6 ∶ 7 |
98 |
D |
60 |
30% |
2 ∶ 3 |
120 |
Note: There are two types of cupboards made out of steel and wood. The percentage of steel cupboard manufactured is given in the table.
Total number of tables manufactured in all 4 companies = {(7/11) × (114 – 48)} + {(15/23) × (126 – 80)} + {(6/13) × (98 – 72)} + {(2/5) × (120 – 60)} = 42 + 30 + 12 + 24 = 108
⇒ Average number of tables manufactured = 108/4 = 27
Total number of chairs manufactured in all 4 companies = {(4/11) × (114 – 48)} + {(8/23) × (126 – 80)} + {(7/13) × (98 – 72)} + {(3/5) × (120 – 60)} = 24 + 16 + 14 + 36 = 90
⇒ Average number of chairs manufactured = 90/4 = 22.5
∴ Required sum = 27 – 22.5 = 49.5
∴ The sum of the average number of chairs and tables manufactured by all the four companies is 49.5
Common explanation:
Following table can be made from the above data
Shop |
Total number of cupboard |
Number of Steel cupboards |
Number of wooden cupboards |
Number of Tables Manufactured |
Number of Chairs Manufactured |
Number of Tables Manufactured |
A |
48 |
24 |
24 |
42 |
24 |
114 |
B |
80 |
30 |
50 |
30 |
16 |
126 |
C |
72 |
18 |
54 |
12 |
14 |
98 |
D |
60 |
18 |
42 |
24 |
36 |
120 |