# PE 1 - Tables & Graphs | DI - Tables & Graphs

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

The table below gives the details of amount of milk produced in a dairy farm. All numbers are in liters.

Every day certain amount of milk is produced in the farm. Some of it gets spoilt due to contamination and is thrown away at the start of next day. Rest of the milk is considered consumable.

Spoilt milk from the previous day is thrown only at the start of the day, starting from Tuesday.

Amount of milk thrown away at the start of the day = Quantity of milk at the end of previous day – Quantity of milk at the start of the day.

50% of the consumable milk produced on any day gets spoilt after 2 days and is thrown away.

**PE 1 - Tables & Graphs | DI - Tables & Graphs**

How much consumable milk (in liters) was produced in the farm till Thursday?

- (a)
830

- (b)
660

- (c)
860

- (d)
None of these

Answer: Option D

**Explanation** :

Milk at the end of Monday is 600 liters and at the start of Tuesday is 400 liters.

⇒ The milk thrown away on Tuesday is 600 – 400 = 200 liters.

This is the spoilt milk which was produced on Monday. Hence, the consumable milk produced on Monday is 600 – 200 = 400 liters.

Half of this 400 liters consumable milk will be thrown away on Wednesday i.e. 200 consumable milk will be thrown away on Wednesday.

Total milk thrown away on Wednesday = 760 – 400 = 360. 200 liters of this is consumable milk produced on Monday and rest 360 – 200 = 160 liters is the spoilt milk produced on Tuesday.

Total milk produced on Tuesday = 760 – 400 = 360 liters.

∴ Consumable milk produced on Tuesday is 360 – 160 = 200 liters.

Similarly, we can complete the entire table till Friday.

∴ Total consumable milk produced till Thursday = 400 + 200 + 100 + 120 = 820 liters.

Hence, option (d).

Workspace:

**PE 1 - Tables & Graphs | DI - Tables & Graphs**

How much consumable milk (in liters) was thrown at the start of Wednesday?

- (a)
200

- (b)
160

- (c)
260

- (d)
100

Answer: Option A

**Explanation** :

Consider the solution to the first question of this set.

200 liters of consumable milk was thrown away at the start of Wednesday.

Hence, option (a).

Workspace:

**PE 1 - Tables & Graphs | DI - Tables & Graphs**

Maximum quantity of spoilt milk (in liters) produced any day from Monday to Thursday is?

- (a)
200

- (b)
280

- (c)
330

- (d)
240

Answer: Option B

**Explanation** :

Consider the solution to the first question of this set.

Maximum quantity of spoilt milk produced from Monday to Thursday is 280 liters on Thursday.

Hence, option (b).

Workspace:

**PE 1 - Tables & Graphs | DI - Tables & Graphs**

How much consumable milk (in liters) was there at the end of Thursday?

Answer: 520

**Explanation** :

Consider the solution to the first question of this set.

Consumable milk left at the end of Thursday = 0.5 × 400 + 0.5 × 200 + 100 + 120 = 5620 liters.

Hence, 520.

Workspace:

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

5 different manufacturers A, B , C, D and E operate in jeans manufacturing industry. There manufacture 5 different categories of jeans i.e., Bell-bottom, Straight-fit, Cropped, Ripped and Low-waist.

The chart below shows the market share of each manufacturer as a percentage of the total market share of the 5 manufacturers taken together across 5 different categories. For e.g. out of the total market share of 5 manufacturers for Straight-fit jeans 30% belongs to C.

The chart below shows the total market share of these 5 manufacturers as a percentage of total industry size. For e.g., out of the total sales of Ripped jeans, 75% belongs to these 5 manufacturers.

**PE 1 - Tables & Graphs | DI - Tables & Graphs**

The total market size for Bell-bottom, Straight-fit, Cropped, Ripped and Low-waist in India are in the ratio 1 : 5 : 3 : 4 : 2. What percentage of revenue is generated by A by selling ‘Ripped’ jeans?

- (a)
48%

- (b)
40%

- (c)
45%

- (d)
None of these

Answer: Option C

**Explanation** :

Ratio of market size of each of these 5 categories is given.

Let the market size of Bell-bottom, Straight-fit, Cropped, Ripped and Low-waist be 100, 500, 300, 400 and 200 respectively.

∴ These 5 manufacturers account for 80%, 60%, 90%, 75% and 40% respectively in each of these 5 categories.

∴ Market share of these 5 manufacturers is 80% of 100, 60% of 500, 90% of 300, 75% of 400 and 40% of 200 i.e., 80, 300, 270, 300 and 80 respectively.

Manufacturer A has 30%, 20%, 10%, 35% and 20% share across these categories.

∴ Market share of these manufacturer A is 30% of 80, 20% of 300, 10% of 270, 35% of 300 and 20% 80 i.e., 24, 60, 27, 105 and 16 respectively.

∴ % revenue from Rippped jeans for A = $\frac{105}{24+60+27+105+16}$ × 100 = 45%.

Hence, option (c).

Workspace:

**PE 1 - Tables & Graphs | DI - Tables & Graphs**

The market size for ‘Bell-bottom’ type jeans is Rs. 30 Crores. What is the market size of ‘Straight-fit’ if the revenue generated by C by selling ‘Bell-bottom’ type jeans is the same as the revenue generated by B and C by selling ‘Straight-fit’ type cars?

- (a)
Rs. 18 crores

- (b)
Rs. 20 crores

- (c)
Rs. 22 crores

- (d)
Rs. 25 crores

Answer: Option B

**Explanation** :

Total market size of Bell-bottom jeans = Rs. 30 crores.

∴ Market share of these 5 manufacturers = 80% of 30 = Rs. 24 crores.

∴ Market share of C from bell bottom = 20% of 24 = Rs. 4.8 crores.

Given,

Market share of C from bell bottom = Market share of A and B from Straight-fit = Rs. 4.8 crores.

Market share of B and C from Straight-fit = 40% of Market share of all 5 manufacturers.

∴ Market share of all 5 manufacturers = 4.8/0.4 = Rs. 12 crores.

Market share of all 5 manufacturers = 60% of Market size of Straight-fit.

∴ Market size of Straight-fit jeans = 12/0.6 = Rs. 20 crores

Hence, option (b).

Workspace:

**PE 1 - Tables & Graphs | DI - Tables & Graphs**

What is the ratio of market size of Cropped type jeans and Low-waist type jeans if revenue generated by D from 'Cropped' type jeans is the same as the revenue generated by E from the sale of 'Low-waist' type jeans?

- (a)
4 : 27

- (b)
4 : 5

- (c)
5 : 11

- (d)
None of the above

Answer: Option A

**Explanation** :

Let the market size of Cropped jeans and Low-waist jeans be x and y respectively.

Revenue of D from Cropped jeans = 15% of 90% of x = 27x/200

Revenue of E from Low-waist jeans = 5% of 40% of y = y/50

∴ 27x/200 = y/50

⇒ x : y = 4 : 27.

Hence, option (a).

Workspace:

**PE 1 - Tables & Graphs | DI - Tables & Graphs**

Find the ratio of the market size of Bell-bottom, Straight-fit and Ripped respectively given that the highest amount of revenue generated by any of these five manufacturers from the sale of each type of these six jeans are the same.

- (a)
115 : 140 : 103

- (b)
105 : 144 : 96

- (c)
105 : 140 : 96

- (d)
None of these

Answer: Option C

**Explanation** :

Let the total market size of Bell-bottom, Straight-fit and Ripped be x, y and z respectively.

For Bell-bottom highest revenue is generated by A = 30% of 80% of x = 6x/25

For Straight-fit highest revenue is generated by C = 30% of 60% of x = 9y/50

For Ripped highest revenue is generated by A = 35% of 75% of x = 21z/80

According to the question,

⇒ $\frac{6x}{25}=\frac{9y}{50}=\frac{21z}{80}$

Dividing by 126 we get

$\frac{x}{525}=\frac{y}{700}=\frac{z}{480}$

∴ x : y : z = 525 : 700 : 480 = 105 : 140 : 96.

Hence, option (c).

**Video Solution**:

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