## Introduction to Data Interpretation

#### Data Interpretation

Direction: The following pie-chart shows the monthly expenditure of a man on various items. If he spends \$ 16,000 per month, answer the following questions. 1. If miscellaneous expenses be x% of the total expense, then value of x is:

1. As per the given pie chart in question ,
Corresponding central angle for miscellaneous expenditure = 108°
∵ 360° ≡ 100%

 ∴ 1° ≡ 100 % 360

##### Correct Option: D

As per the given pie chart in question ,
Corresponding central angle for miscellaneous expenditure = 108°
∵ 360° ≡ 100%

 ∴ 1° ≡ 100 % 360

 ∴ 108° ≡ 108 × 100 = 30% 360

Direction: The pie graph indicates the break-up of the cost of construction of a house. Assuming that the total cost of construction is \$ 6,00,000, answer the following questions. 1. The percentage of the total cost of construction spent on cement, steel and supervision is :

1. From the given pie chart in question ,
Corresponding angle for cement, steel and supervision = 72° + 54° + 54° = 180°

 ∴ Required percent = Corresponding angle for cement, steel and supervision × 100 360°

##### Correct Option: A

From the given pie chart in question ,
Corresponding angle for cement, steel and supervision = 72° + 54° + 54° = 180°

 ∴ Required percent = Corresponding angle for cement, steel and supervision × 100 360°

 ∴ Required percent = 180 ° × 100 = 50% 360°

1. The amount spent on labour exceeds the amount spent on steel by :

1. On the basis of given pie chart in question ,
Corresponding central angles :
Labour ⇒ 90°
Steel ⇒ 54°
∴ Required excess amount = Corresponding central angle of Labour - Corresponding central angle of Steel

##### Correct Option: A

On the basis of given pie chart in question ,
Corresponding central angles :
Labour ⇒ 90°
Steel ⇒ 54°
∴ Required excess amount = Corresponding central angle of Labour - Corresponding central angle of Steel
∴ Required excess amount = 90° – 54° = 36° i.e. 10% of total cost.

1. The amount spent on labour exceeds the amount spent on supervision by :

1. From the given pie chart in question ,
Corresponding central angles :
Labour ⇒ 90°
Supervision ⇒ 54°
Difference = Corresponding central angle of Labour - Corresponding central angle of Supervision
Difference = 90° – 54° = 36°

##### Correct Option: C

From the given pie chart in question ,
Corresponding central angles :
Labour ⇒ 90°
Supervision ⇒ 54°
Difference = Corresponding central angle of Labour - Corresponding central angle of Supervision
Difference = 90° – 54° = 36°

 ∴ Required excess amount = \$ 36 × 600000 = \$ 60000 360

1. The amount spent on timber is :

1. According to given pie chart in question ,
Corresponding central angle for the cost on timber = 36°
Total cost of construction = \$ 6,00,000
∵ 360° ≡ \$ 600000

 ∴ 1° = 600000 360

##### Correct Option: A

According to given pie chart in question ,
Corresponding central angle for the cost on timber = 36°
Total cost of construction = \$ 6,00,000
∵ 360° ≡ \$ 600000

 ∴ 1° = 600000 360

 ∴ 36° ≡ \$ 600000 × 36 = \$ 60000 360