# CRE 2 - Bar Graphs | DI - Tables & Graphs

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**Answer the next 3 questions based on the information given below:**

Graph below shows sales (in crores) of 5 different products of a company in 2019-20 and 2020-21.

**CRE 2 - Bar Graphs | DI - Tables & Graphs**

What is the average sale for each product of the company during 2019-20 (in crores)?

Answer: 74

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**Explanation** :

Total sales of the company in 2019-20 = 100 + 80 + 40 + 60 + 90 = 370 crores.

Average sales = 370/5 = 74 crores.

Hence, 74.

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**CRE 2 - Bar Graphs | DI - Tables & Graphs**

From 2019-20 to 2020-21, for which product is the percent growth highest.

- (a)
A

- (b)
B

- (c)
C

- (d)
D

Answer: Option C

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**Explanation** :

Out of the options given, product A, C and D have a positive growth in sales.

By observation we can see that the % growth will be highest for product C. It has the higest growth along with lowest base.

Hence, option (c).

Workspace:

**CRE 2 - Bar Graphs | DI - Tables & Graphs**

What is the % change in total sales of company from 2019-20 to 2020-21.

- (a)
7.77%

- (b)
9.37%

- (c)
8.11%

- (d)
None of these

Answer: Option C

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**Explanation** :

Total sales of the company in 2019-20 = 100 + 80 + 40 + 60 + 90 = 370 crores.

Total sales of the company in 2020-21 = 110 + 75 + 60 + 75 + 80 = 400 crores.

∴ Required percent change = (400 - 370)/370 × 100 = 8.11%.

Hence, option (c).

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**Answer the next 3 questions based on the information given below:**

Annual incomes of family A, B and C are Rs. 40,000, Rs. 1,00,000 and Rs. 2,00,000 respectively. The following chart shows percent breakup of expenditure of each of these families.

**CRE 2 - Bar Graphs | DI - Tables & Graphs**

What percent of their total income did the 3 families together spend on travel?

- (a)
5.59%

- (b)
6.66%

- (c)
6%

- (d)
None of these

Answer: Option A

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**Explanation** :

Expenditure by family A on travel = 10% of 40,000 = 4,000.

Expenditure by family B on travel = 5% of 1,00,000 = 5,000

Expenditure by family C on travel = 5% of 2,00,000 = 10,000

Total expenditure on travel = 4000 + 5000 + 10000 = 19000.

Total income of the 3 families = 3,40,000.

∴ Required percentage = 19000/34000 × 100 = 5.59%

Hence, option (a).

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**CRE 2 - Bar Graphs | DI - Tables & Graphs**

What percent of family C’s expenditure went for housing?

- (a)
25%

- (b)
30%

- (c)
26.67%

- (d)
33.33%

- (e)
50%

Answer: Option C

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**Explanation** :

Savings by family C = 25%

∴ Expenditure of family C = 75% of 2,00,000 = Rs. 1,50,000

Family C’s expense on housing = 20% of 2,00,000 = Rs. 40,000

∴ Percentage expenditure on housing = $\frac{40,000}{1,50,000}\times 100\%$ = 26.67%.

Hence, option (c).

Workspace:

**CRE 2 - Bar Graphs | DI - Tables & Graphs**

How does the food bill for family A compare with the food bill for family C?

- (a)
Family A spent twice as much on food as did family C.

- (b)
Family A and C spend the same amount on food.

- (c)
Family C spend 4 times on food as did family A.

- (d)
Family C spent approximately 2.2 times on food as did family A.

Answer: Option D

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**Explanation** :

Family A’s expenditure on food = 45% of 40,000 = 18,000.

Family C’s expenditure on food = 20% of 2,00,000 = 40,000.

⇒ 40,000/18,000 ≈ 2.2

∴ Family C spent 2.2 times on food as did family A.

Hence, option (d).

Workspace:

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

The bar graph below shows the sales of mobiles by four different companies (in thousands of units) from 2000-05.

Sales Revenue = Sales (by volume) × Selling Price of each unit

Profit = Sales Revenue – Expenditure

Profit Percentage = (Sales - Expenditure)/Expenditure × 100

**CRE 2 - Bar Graphs | DI - Tables & Graphs**

Which mobile company had the highest average annual sales (by volume)?

- (a)
D

- (b)
B

- (c)
A

- (d)
C

Answer: Option D

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**Explanation** :

By observation we can see that C has the highest sales for most of the years except 2002.

Even in 2002 it has 2^{nd} highest sales.

∴ Total sales of C will be highest of all the companies mentioned.

⇒ Average sales of C will be highest of all the companies mentioned.

Hence, option (d).

Workspace:

**CRE 2 - Bar Graphs | DI - Tables & Graphs**

The market share of a company is defined as the sales of the company as a percentage of the total sales (by volume) of all the companies in the market. If these are the only four companies in the mobile market over the entire period, in which year was the market share of B the highest?

- (a)
2000

- (b)
2003

- (c)
2002

- (d)
2005

Answer: Option C

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**Explanation** :

By observation we can see that total sales for any year is around 1600 and 1900.

While the sales of B is substantially higher in 2002 than any other year, hence market share of B will be highest in 2002.

Hence, option (c).

Workspace:

**CRE 2 - Bar Graphs | DI - Tables & Graphs**

In the year 2000, the expenditures of D, B, A & C were in the ratio 3 : 7 : 1 : 2. Which company had the highest profit percentage? (Assume all companies made profit)

- (a)
B

- (b)
C

- (c)
A

- (d)
Cannot be determined

Answer: Option D

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**Explanation** :

Although ratio of expenditure is given for the three companies, we do not know the income of these companies (price for each unit is not given), hence it will not be possible to calculate the percentage profit.

Hence, option (d).

Workspace:

**CRE 2 - Bar Graphs | DI - Tables & Graphs**

In 2004, the profit percentage obtained by A on selling each mobile was 30, and each mobile was sold for Rs. 195, then what was the expenditure incurred by A in 2004? (Assume all mobiles produced by A in 2004 were sold)

- (a)
Rs. 8 crore

- (b)
Rs. 6 crore

- (c)
Rs. 4.5 crore

- (d)
Rs. 5 crore

Answer: Option B

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**Explanation** :

Selling price of each mobile = Rs. 195

% profit = 30%

∴ Cost price of each mobile = 195/1.3 = Rs. 150.

Total quantity of mobiles sold by A in 2004 = 400,000.

∴ Total cost of production for A in 2004 = 150 × 4,00,000 = 6,00,00,000 = 6 crores.

Hence, option (b).

Workspace:

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

The following table shows the prices (per kg) of Tomato, Onions, Potato and Cornflour which are used in the making of different dishes at a restaurant for six days. Each day the cook changes the relative quantity of ingredients in the dish so as to produce a different taste. These are the only four components in the making of each dish.

**CRE 2 - Bar Graphs | DI - Tables & Graphs**

If a dish is to contain at least 50% Potato (by weight) and at least 10% (by weight) of each of the other three items, then what is the minimum cost of making one kg of the dish on day 3?

- (a)
38.9

- (b)
35

- (c)
32.5

- (d)
None of the above

Answer: Option A

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**Explanation** :

Since we need to minimize the cost, we would use maximize the use of low-cost ingredient i.e., Onions.

Out of 1 kg, 0.5 kg has to be Potato, 0.1 kg has to be Tomato and 0.1 kg has to be Cornflour. The remaining i.e., 0.3 kg will be Onions.

∴ Total cost = 0.5 × 55 + 0.1 × 22 + 0.1 × 47 + 0.3 × 15

= 27.5 + 2.2 + 4.7 + 4.5

= 38.9

Hence, option (a).

Workspace:

**CRE 2 - Bar Graphs | DI - Tables & Graphs**

If in one kg of the dish, the quantity by weight of Tomato, Onions, Potato and Corn-Flour is 200 gm, 150 gm, 250 gm and 400 gm on day 1 and 100 gm, 225 gm, 175 gm and 500 gm on day 4, then what is the increase in the cost of making 1 kg of the dish on day 4, when compared to day 1 (in paisa)?

Answer: 1090

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**Explanation** :

Cost/kg for week 1: 0.2 × 21 + 0.15 × 10 + 0.25 × 44 + 0.4 × 35

= 4.2 + 1.5 + 11 + 14 = 30.7

Cost/kg for week 4: 0.1 × 25 + 0.225 × 16 + 0.175 × 60 + 0.5 × 50

= 2.5 + 3.6 + 10.5 + 25 = 41.6

Increase in cost per kg = 41.6 – 30.7 = Rs. 10.9 = 1090 paise

Hence, 1090.

Workspace:

**CRE 2 - Bar Graphs | DI - Tables & Graphs**

If the quantity of all the four items used in the dish remain the same in weeks 1 and 3, then what is the percentage increase in the cost of making 1 kg of the dish on day 4, when compared to day 2?

- (a)
21.6%

- (b)
20.8%

- (c)
20.5%

- (d)
Cannot be determined

Answer: Option D

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**Explanation** :

Since the composition of dish is not known, we cannot determine the cost of making 1 kg of the dish.

∴ The % increase in cost cannot be determined.

Hence, option (d).

Workspace:

**CRE 2 - Bar Graphs | DI - Tables & Graphs**

If none of the quantities can exceed 40% (by weight) what would be the maximum cost of making 1 kg of the dish in any of the given days?

- (a)
44

- (b)
48.3

- (c)
45.2

- (d)
49

Answer: Option D

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**Explanation** :

For the maximum cost, we have to use 40% each (by weight) of the two costlier items and 20% of the third item, assuming the quantity of the fourth item to be negligible.

Upon a quick glance we can see that day 4 would have the maximum cost of making 1 kg of dish.

Cost on day 4 = 0.4 × 60 + 0.4 × 50 + 0.2 × 25 = 49.

Hence, option (d).

Workspace:

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

The graph below given the percentage break-up of number of mobile phones used in a country from 2014 till 2020 of different companies. The total number of mobile phones used increases by 20% every year from 2014 till 2020.

**CRE 2 - Bar Graphs | DI - Tables & Graphs**

What is the percentage increase in the number of mobile phones in the country from 2016 to 2019?

- (a)
44%

- (b)
72.8%

- (c)
87.5%

- (d)
None of these

Answer: Option B

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**Explanation** :

The number of users increase by 20% every year.

If the number of users in 2016 were 1000, the number of users in 2019 will be = 1000 × (1.2)^{3} = 1728

∴ % Increase = $\frac{728}{1000}$ × 100 = 72.8%

Hence, option (b).

Workspace:

**CRE 2 - Bar Graphs | DI - Tables & Graphs**

What is the ratio of mobiles of company A and that of company B in 2014?

- (a)
1 : 2

- (b)
2 : 3

- (c)
3 : 4

- (d)
4 : 5

Answer: Option A

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**Explanation** :

Let the total number of mobiles used in 2014 is T.

Number of mobiles of company A = 10% of T

Number of mobiles of company D = 20% of T

∴ The required ratio = 10% of T : 20% of T = 1 : 2

Hence, option (a).

Workspace:

**CRE 2 - Bar Graphs | DI - Tables & Graphs**

Not considering others, which company had the maximum increase in the number of mobile phones used from one year to the next?

- (a)
A

- (b)
C

- (c)
D

- (d)
E

Answer: Option C

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**Explanation** :

By observation, we can see that % share for D increases from 5% in 2019 to 20% in 2020.

Hence, the increase in number of mobile phones used will be maximum for D in 2019.

Hence, option (c).

Workspace:

**CRE 2 - Bar Graphs | DI - Tables & Graphs**

Not considering others, what is the percentage increase (approximate) in the number of mobile phones for the in the country from 2014 to 2018?

- (a)
51.66%

- (b)
107.4%

- (c)
68.5%

- (d)
Cannot be determined

Answer: Option C

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**Explanation** :

The number of users increase by 20% every year.

If the number of users in 2014 were 1,00,000, the number of users in 2018 will be = 10,000 × (1.2)^{4} = 2,00,736

Number of mobiles phones used by the given 5 companies in 2014 = 80% of 1,00,000 = 80,000.

Number of mobiles phones used by the given 5 companies in 2018 = 65% of 2,07,360 = 1,34,784.

∴ % Increase = $\frac{134784-80000}{80000}$ × 100 = 68.5%

Hence, option (c).

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