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.

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