A manufacturing company produces 5 types of chairs in two sizes - Regular" and "Large". The pie charts represent the total number of five types of chairs produced and the table shows the ratio between the number of regular sized and large sized chairs of five types. Type of Chair A B C D E Ration between Number of Regular Size and Large Size Chairs 3 : 2 4 : 5 3 : 1 5 : 3 3 : 8 If the total number of all types of chairs produced is 7200, what is the total number of regular size chairs of all types produced.
A manufacturing company produces 5 types of chairs in two sizes - Regular" and "Large". The pie charts represent the total number of five types of chairs produced and the table shows the ratio between the number of regular sized and large sized chairs of five types. Type of Chair A B C D E Ration between Number of Regular Size and Large Size Chairs 3 : 2 4 : 5 3 : 1 5 : 3 3 : 8 If the total number of all types of chairs produced is 7200, what is the total number of regular size chairs of all types produced. Correct Answer 3816
Given:
The total number of all types of chairs produced is 7200.
Calculation:
According to the data and question,
Type A chair = 20% of total number of all types of produced chair
⇒ (20 × 7200)/100
⇒ 1440
Ration between Number of Regular Size and Large Size Type A chair = 3 : 2
Regular size type A char = (1440 × 3)/(3 + 2)
⇒ 4320/5
⇒ 864
Type B chair = 18% of total number of all types of produced chair
⇒ (18 × 7200)/100
⇒ 1296
Ration between Number of Regular Size and Large Size Type B chair = 4 : 5
Regular size type B char = (1296 × 4)/(4 + 5)
⇒ 5184/9
⇒ 576
Type C chair = 16% of total number of all types of produced chair
⇒ (16 × 7200)/100
⇒ 1152
Ration between Number of Regular Size and Large Size Type C chair = 3 : 1
Regular size type C char = (1152 × 3)/(3 + 1)
⇒ 3456/4
⇒ 864
Type D chair = 24% of total number of all types of produced chair
⇒ (24 × 7200)/100
⇒ 1728
Ration between Number of Regular Size and Large Size Type D chair = 5 : 3
Regular size type D char = (1728 × 5)/(5 + 3)
⇒ 8640/8
⇒ 1080
Type E chair = 22% of total number of all types of produced chair
⇒ (22 × 7200)/100
⇒ 1584
Ration between Number of Regular Size and Large Size Type E chair = 3 : 8
Regular size type E char = (1584 × 3)/(3 + 8)
⇒ 4752/11
⇒ 432
The total number of regular size chairs of all types produced
⇒ 864 + 576 + 864 + 1080 + 432
⇒ 3816
∴ The total number of regular size chairs of all types produced are 3816.