The following table shows number of pages printed by five printers A to E during Monday to Friday. Study the table and answer the following questions: Printers → A B C D E Days ↓ Monday 25 20 35 15 25 Tuesday 40 15 30 20 20 Wednesday 22 11 33 40 20 Thursday 32 42 32 30 22 Friday 36 36 37 35 25
In all five days of printing, what percentage of pages printed by printer E to printed by printer D?
80%
Solving Printer Data Percentage Calculation
The question asks us to find the percentage of total pages printed by printer E compared to the total pages printed by printer D over all five days. To do this, we first need to calculate the total pages printed by each of these printers from Monday to Friday using the provided table data.
| Printers → Days ↓ |
A | B | C | D | E |
|---|---|---|---|---|---|
| Monday | 25 | 20 | 35 | 15 | 25 |
| Tuesday | 40 | 15 | 30 | 20 | 20 |
| Wednesday | 22 | 11 | 33 | 40 | 20 |
| Thursday | 32 | 42 | 32 | 30 | 22 |
| Friday | 36 | 36 | 37 | 35 | 25 |
Step-by-Step Solution for Printer Percentage
Step 1: Calculate Total Pages Printed by Printer D
Add the number of pages printed by printer D on each day:
- Monday: 15
- Tuesday: 20
- Wednesday: 40
- Thursday: 30
- Friday: 35
Total pages by Printer D = $15 + 20 + 40 + 30 + 35 = 140$ pages.
Step 2: Calculate Total Pages Printed by Printer E
Add the number of pages printed by printer E on each day:
- Monday: 25
- Tuesday: 20
- Wednesday: 20
- Thursday: 22
- Friday: 25
Total pages by Printer E = $25 + 20 + 20 + 22 + 25 = 112$ pages.
Step 3: Calculate the Percentage of Pages Printed by E to D
The percentage is calculated using the formula:
$\text{Percentage} = \left( \frac{\text{Total pages by Printer E}}{\text{Total pages by Printer D}} \right) \times 100\%$
Substitute the calculated values:
$\text{Percentage} = \left( \frac{112}{140} \right) \times 100\%$
Simplify the fraction:
$\frac{112}{140} = \frac{56 \times 2}{70 \times 2} = \frac{56}{70} = \frac{8 \times 7}{10 \times 7} = \frac{8}{10} = \frac{4}{5}$
Now, calculate the percentage:
$\text{Percentage} = \frac{4}{5} \times 100\% = 0.8 \times 100\% = 80\%$
So, the number of pages printed by printer E is 80% of the number of pages printed by printer D over all five days.
Revision Table: Key Calculations
| Printer | Monday | Tuesday | Wednesday | Thursday | Friday | Total Pages |
|---|---|---|---|---|---|---|
| D | 15 | 20 | 40 | 30 | 35 | 140 |
| E | 25 | 20 | 20 | 22 | 25 | 112 |
Percentage $(\text{E to D}) = (112 / 140) \times 100\% = 80\%$
Additional Information: Understanding Percentages
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%". Percentages are useful for comparing quantities relative to a base value. In this problem, the base value is the total pages printed by Printer D, and we are expressing the total pages printed by Printer E as a percentage of this base value.
- To find what percentage A is of B, the formula is $(\text{A} / \text{B}) \times 100\%$.
- In this case, A is the total pages by Printer E, and B is the total pages by Printer D.
- Data interpretation questions often require careful reading of tables and accurate arithmetic calculations.
Important Questions from Tabulation
The table shows District-wise data of a number of primary school teachers posted in schools of a city.
Study the table and answer the question:
District
Male teachers
Female teachers
East
1650
2375
North
1075
2651
West
1280
1520
South
1170
1085
Central
690
859
What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?Table shows income (in Rs. ) received by 4 employees of a company during the month of December 2020 and all their income sources.
Source
Amit
Suresh
Nitin
Varun
Salary
35000
38500
29000
42000
Arrears
6000
6300
5000
7500
Bonus
1000
1100
1000
1240
Overtime
1800
1950
1400
1500
What is the ratio of salary of Varun to his income other than salary?Study the table and answer the question:
Income (Rs.)
No. of persons
Less than 200
12
Less than 250
26
Less than 300
34
Less than 350
40
Less than 400
50
What is the percentage of persons earning Rs. 250 or more?The following table shows the annual profit of a company (in Rs. lakh).
2014-2015
2015-2016
2016-0217
2017-2018
2018-2019
625
690
725
775
815
The period which has the maximum percentage increase in profit over the previous year is:
The table given below shows the number of persons participating in a survey from 6 different states.
States Persons S1 100 S2 200 S3 400 S4 500 S5 600 S6 800 What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?
