# CRE 3 - Pie-Charts | DI - Tables & Graphs

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**Answer the next 5 questions based on the information given below:**

The following pie chart shows the expenses of a family for the year 2021. Total expenditure for the year is Rs. 9 lakh.

**CRE 3 - Pie-Charts | DI - Tables & Graphs**

The ratio of expenditure on Food to Travel?

- (a)
18 : 13

- (b)
13 : 18

- (c)
15 : 13

- (d)
None of these

Answer: Option A

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**Explanation** :

Expenditure on food = $\frac{90}{360}\times 9lakh$ = 2.25 lakh

Expenditure on travel= $\frac{65}{360}\times 9lakh$ = 1.625 lakh

$\frac{ExpenditreonFood}{ExpenditreonTravel}$ = $\frac{2.25}{1.625}$ = $\frac{18}{13}$

**Alternately,**

In this case the ratio of respective angles will give us the ratio of expenditures.

∴ $\frac{ExpenditreonFood}{ExpenditreonTravel}=\frac{90}{65}=\frac{18}{13}$

Hence, option (a).

Workspace:

**CRE 3 - Pie-Charts | DI - Tables & Graphs**

Find the total amount spent on Food and Education?

Answer: 400000

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**Explanation** :

Total angle covered by Food and Education = 90° + 70° = 160°.

fraction of expenditure on Food and Education = $\frac{160}{360}$

Total expense on Food and Education = $\frac{160}{360}$ × 9 lakh = 4 lakh.

Hence, 400000.

Workspace:

**CRE 3 - Pie-Charts | DI - Tables & Graphs**

Find the amount spent on Medicines?

- (a)
5 lakh

- (b)
2.5 lakh

- (c)
2 lakh

- (d)
3.5 lakh

Answer: Option C

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**Explanation** :

Amount spent on medicines = 80/360 × 9 lakh = 2 lakh.

Hence, option (c).

Workspace:

**CRE 3 - Pie-Charts | DI - Tables & Graphs**

The difference in amount spent on Food and Medicine is same as which of the following?

- (a)
Medicines and Travel

- (b)
Education and Rent

- (c)
Food and Education

- (d)
Travel and Rent

Answer: Option D

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**Explanation** :

If the difference of angles is same, the difference of expenditures will also be same. Hence, we will simply check for difference in angles.

Difference in amount spent on Food and Medicines = 90° – 80° = 10°.

Using options, only option (d) i.e., Travel – Rent = 65° - 55° = 10°.

Hence, option (d).

Workspace:

**CRE 3 - Pie-Charts | DI - Tables & Graphs**

By what percentage does the amount spend on Food exceeds the amount spent on Travel.

- (a)
38.46%

- (b)
7.5%

- (c)
6.94%

- (d)
None of these

Answer: Option A

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**Explanation** :

Difference in angle between Food and Travel = 90° - 65° = 25°.

⇒ % difference = 25/65 × 100 = 38.46%

Hence, option (a).

Workspace:

**Answer the next 5 questions based on the information given below:**

The following pie chart shows the exports of different products of a country in the year 2021. The total value of exports is Rs. 1440 crores.

**CRE 3 - Pie-Charts | DI - Tables & Graphs**

Find the export value of Petroleum? (in crores)

- (a)
252

- (b)
288

- (c)
144

- (d)
None of these

Answer: Option C

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**Explanation** :

Petroleum is 10% of total exports i.e., 10% of 1440.

⇒ Value = 10/100 × 1440 = 144

Hence, option (c).

Workspace:

**CRE 3 - Pie-Charts | DI - Tables & Graphs**

Find the central angle for Mobiles.

- (a)
52°

- (b)
54°

- (c)
36°

- (d)
None of these

Answer: Option B

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**Explanation** :

Mobiles are 15% of total exports i.e., the central angle made by mobile sector will also be 15% of 360°.

⇒ Angle = 15/100 × 360 = 54°

Hence, option (b).

Workspace:

**CRE 3 - Pie-Charts | DI - Tables & Graphs**

Find the ratio of export values of Wheat and Rice.

- (a)
4 : 1

- (b)
5 : 4

- (c)
2 : 3

- (d)
3 : 2

Answer: Option D

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**Explanation** :

Wheat is 30% of total exports while Rice is .20% of total exports.

$\frac{Wheat}{Rice}=\frac{30\%ofTotal}{20\%ofTotal}$ = $\frac{30}{20}$ = $\frac{3}{2}$

Hence, option (d).

Workspace:

**CRE 3 - Pie-Charts | DI - Tables & Graphs**

Find the average value of exports of all 5 products (in crores).

Answer: 288

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**Explanation** :

Average = 1440/5 = 288 crores.

Hence, 288.

Workspace:

**CRE 3 - Pie-Charts | DI - Tables & Graphs**

Which are the two pairs of products that have equal values?

- (a)
(Rice, Wheat) and (Mobiles, Gold)

- (b)
(Gold, Rice) and (Wheat, Mobile)

- (c)
(Gold, Wheat) and (Mobile, Petroleum)

- (d)
(Gold, Mobile) and (Wheat, Rice)

Answer: Option B

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**Explanation** :

We need to check for options here.

Only option (b) gives the same % value for both the pair i.e.,

Gold + Rice = 45% of Total exports and

Wheat + Mobile = 45% of Total exports

Hence, option (b).

Workspace:

**Answer the next 4 questions based on the information given below:**

The following table shows the number of employees of XYZ pvt. ltd. globally from 2010 - 2020. The pie-chart shows the number of projects assigned to each of these employees for the years 2010 and 2020.

**CRE 3 - Pie-Charts | DI - Tables & Graphs**

Which of the following statements about the employees is true?

- (a)
The number of employees with 3 projects decreased slightly from 2010 to 2020.

- (b)
There were more employees with projects in 2010 than in 2020.

- (c)
There were more employees with 2 or more projects in 2010 than in 2020.

- (d)
None of these

Answer: Option D

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**Explanation** :

**Option (a):**

The number of employees with 3 projects in 2010 = 19% of 60 = 11,400

The number of employees with 3 projects in 2020 = 15% of 80 = 12,000

Thus, the number of employees with 3 projects increased from 2010 to 2020.

Thus, option (c) is not true.

**Option (b):**

The number of employees with projects in 2010 = 89% of 60,000 = 53,400

The number of employees with projects in 2020 = 91% of 80 = 72,800

Thus, there were more employees with projects in 2020 than in 2010.

Thus, option (a) is not true.

**Option (c):**

The number of employees with 2 or more projects in 2010 = 61% of 60,000 = 36,600

The number of employees with 2 or more projects in 2020 = 66% of 80 = 52,800

Thus, there were more employees with 2 or more projects in 2020 than in 2010.

Thus, option (b) is not true.

Thus, none of the statements are true.

Hence, option (d).

Workspace:

**CRE 3 - Pie-Charts | DI - Tables & Graphs**

The average number of projects per employee in 2020 was:

- (a)
> 2

- (b)
< 1.5

- (c)
1.57

- (d)
Cannot be determined

Answer: Option D

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**Explanation** :

We know the exact number of employees with no project, exactly one project and exactly two projects. But we don’t know the number of employees with exactly 3 or any higher number of projects. Hence, we will not be able to calculate the total number of projects in 2020.

Hence, the average number of projects per employee cannot be found.

Hence, option (d).

Workspace:

**CRE 3 - Pie-Charts | DI - Tables & Graphs**

The simple annual growth rate of the number of employees from 2010 to 2020 was:

- (a)
2.67%

- (b)
3.33%

- (c)
3.03%

- (d)
3.00%

Answer: Option B

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**Explanation** :

The number of employees in 2010 and 2020 is 60 and 80 million respectively.

Growth from 2010 till 2020 = $\frac{80-60}{60}$ × 100% = 33.33%

The simple average annual growth rate = $\frac{33.3\%}{10}$ = 3.33%

Hence, option (b).

Workspace:

**CRE 3 - Pie-Charts | DI - Tables & Graphs**

Assuming that the average number of projects per employee in 2020 was 3, how many employees were without projects in 2020?

Answer: 7200

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**Explanation** :

The information about average number of projects in this question is redundant.

Number of employees without any project in 2020 is 9% of 80,000 = 7,200.

Hence, 7200.

Workspace:

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