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Basic Mathematics🤘 pinned «We will be consistent starting from today. Any query, You can DM me @indefatigable07 .»
3. A salary is increased by 20% and then decreased by 10%. What is the net percentage change?
Anonymous Quiz
31%
10% increase
21%
10% decrease
33%
8% increase
16%
8% decrease
Basic Mathematics🤘
3. A salary is increased by 20% and then decreased by 10%. What is the net percentage change?
Exam Trick (Important):
Net % change = a+b+(ab÷100)
(where a and b are % changes, use negative for decrease)
Or simply: Consider 100 is the value, 20% increase is 120, 10% decrease 120-12=108, that means 8% increase in 100.
Net % change = a+b+(ab÷100)
(where a and b are % changes, use negative for decrease)
Or simply: Consider 100 is the value, 20% increase is 120, 10% decrease 120-12=108, that means 8% increase in 100.
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Discount & Offers :
Discount is reduction on Marked Price.
Discount = Marked Price(MP) - Selling Price(SP)
Discount% = (Discount ÷ MP) × 100
SP = MP - Discount
Example:
MP = 1000, Discount = 20%, SP = ?
SP = 1000-(20% Of 1000)
= 1000-200
SP = 800
By using Formula:
SP = MP × (100-discount%)/100
= 1000 × (100-20)/100
= 1000 × 80/100
= 10 × 80
= 800
Two discounts are NOT added directly:
If discount given is a% and b% then:
Total discount = a+b-(ab/100)
Example: a = 20%, b = 30% then
Total disc = 20+30-(20×30)/100
= 50 - 600/100
= 50 - 6 = 44%
Find Profit after Discount:
Profit = (SP - CP)
Profit = ((SP - CP)/CP)×100
[CP = Cost Price]
Profit% = (Profit/CP)×100
When shopkeeper gives discount still gains profit, then
MP/CP = (100+profit%)/(100-discount%)
Discount is reduction on Marked Price.
Discount = Marked Price(MP) - Selling Price(SP)
Discount% = (Discount ÷ MP) × 100
SP = MP - Discount
Example:
MP = 1000, Discount = 20%, SP = ?
SP = 1000-(20% Of 1000)
= 1000-200
SP = 800
By using Formula:
SP = MP × (100-discount%)/100
= 1000 × (100-20)/100
= 1000 × 80/100
= 10 × 80
= 800
Two discounts are NOT added directly:
If discount given is a% and b% then:
Total discount = a+b-(ab/100)
Example: a = 20%, b = 30% then
Total disc = 20+30-(20×30)/100
= 50 - 600/100
= 50 - 6 = 44%
Find Profit after Discount:
Profit = (SP - CP)
Profit = ((SP - CP)/CP)×100
[CP = Cost Price]
Profit% = (Profit/CP)×100
When shopkeeper gives discount still gains profit, then
MP/CP = (100+profit%)/(100-discount%)
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A shopkeeper gives 20% discount and still earns 20% profit.
Find MP : CP ratio?
Find MP : CP ratio?
Anonymous Quiz
36%
2:3
19%
1:3
17%
3:1
28%
3:2
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Ratios, Proportion & Averages ⚖️
1.Ratio & its applications
2.Proportion & inverse proportion
3.Averages - Mean, Median, Mode
4.Weighted averages
1.Ratio & its applications
2.Proportion & inverse proportion
3.Averages - Mean, Median, Mode
4.Weighted averages
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1. Ratio & it's Applications
A ratio compares two quantities in a single environment.
i.e. if A = 10, B = 20,
Then A:B is 10:20 i.e 1:2
Multipy or divide both terms ratio remains same.
[Applications]
1.Sharing quantity
Divide 300 into 2 quantities such that ratio remains 2:3.
i.e (2/5)×300=120 & (3/5)×300=180
2. Mixing Problem
If milk:water=5:3, total=8 then milk=5/8 & water=3/8
3.Salary or Age ratio
If A:B=2:3,
let A=2x & B=3x
A ratio compares two quantities in a single environment.
i.e. if A = 10, B = 20,
Then A:B is 10:20 i.e 1:2
Multipy or divide both terms ratio remains same.
[Applications]
1.Sharing quantity
Divide 300 into 2 quantities such that ratio remains 2:3.
i.e (2/5)×300=120 & (3/5)×300=180
2. Mixing Problem
If milk:water=5:3, total=8 then milk=5/8 & water=3/8
3.Salary or Age ratio
If A:B=2:3,
let A=2x & B=3x
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Divide ₹600 in ratio 2:4:6?
Anonymous Quiz
58%
100:200:300
16%
150:200:250
12%
200:100:300
14%
200:250:300
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2. Proportion
Equality of two ratios
a:b = c:d (a/b = c/d)
Cross multiplication rules
If A/B=C/D, then A×D=B×C.
1.Direct Proportion:
When one quantity increases, the other also increases.
Examples
More workers → More work
More distance → More fuel
More items → More cost
Example: If 5 pens cost ₹50, what is cost of 8 pens?
Set proportion:
5 : 50 = 8 : x
Cross multiply:
5x = 400
x = ₹80
2.Inverse Proportion:
When one quantity increases, the other decreases.
Examples
More workers → Less time
Higher speed → Less travel time
Example: 5 workers complete work in 12 days.
10 workers will complete it?
5 × 12 = 10 × x
x = 6 days
•Continued Proportion:
If a:b=b:c, then b²=ac.
a,b,c are in continued proportion.
•Fourth Proportional:
Find d?
If a:b=c:d, then d is called the Fourth Proportional
Equality of two ratios
a:b = c:d (a/b = c/d)
Cross multiplication rules
If A/B=C/D, then A×D=B×C.
1.Direct Proportion:
When one quantity increases, the other also increases.
Examples
More workers → More work
More distance → More fuel
More items → More cost
Example: If 5 pens cost ₹50, what is cost of 8 pens?
Set proportion:
5 : 50 = 8 : x
Cross multiply:
5x = 400
x = ₹80
2.Inverse Proportion:
When one quantity increases, the other decreases.
Examples
More workers → Less time
Higher speed → Less travel time
Example: 5 workers complete work in 12 days.
10 workers will complete it?
5 × 12 = 10 × x
x = 6 days
•Continued Proportion:
If a:b=b:c, then b²=ac.
a,b,c are in continued proportion.
•Fourth Proportional:
Find d?
If a:b=c:d, then d is called the Fourth Proportional
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8 workers complete work in 15 days.
How many days for 12 workers?
How many days for 12 workers?
Anonymous Quiz
15%
12 days
42%
10 days
18%
8 days
25%
6.4 days
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3. Averages-Mean, Median and Mode
These are the three main measures of average used in mathematics and aptitude exams.
1. Mean (Arithmetic Mean)
The mean is the average value of all numbers.
Formula: Sum of all observations /Number of all observations
Example:
Find the mean of: 2, 4, 6, 8, 10.
Sum = 2 + 4 + 6 + 8 + 10 = 30
Total numbers = 5
Mean = 30 ÷ 5 = 6
2. Median
The median is the middle value after arranging numbers in ascending or descending order.
Rules
1.If total numbers are odd → middle number is median.
2.If total numbers are even → average of two middle numbers.
Example 1 (Odd Numbers)
Numbers: 3, 5, 7, 9, 11.
Middle number = 7
Median = 7
Example 2 (Even Numbers)
Numbers: 2, 4, 6, 8.
Middle two numbers = 4 and 6
Median = 10 ÷ 2 = 5
3. Mode
The mode is the number that appears most frequently.
Example
Numbers: 2, 3, 3, 5, 7, 3, 8.
Number repeated most = 3
Mode = 3
These are the three main measures of average used in mathematics and aptitude exams.
1. Mean (Arithmetic Mean)
The mean is the average value of all numbers.
Formula: Sum of all observations /Number of all observations
Example:
Find the mean of: 2, 4, 6, 8, 10.
Sum = 2 + 4 + 6 + 8 + 10 = 30
Total numbers = 5
Mean = 30 ÷ 5 = 6
2. Median
The median is the middle value after arranging numbers in ascending or descending order.
Rules
1.If total numbers are odd → middle number is median.
2.If total numbers are even → average of two middle numbers.
Example 1 (Odd Numbers)
Numbers: 3, 5, 7, 9, 11.
Middle number = 7
Median = 7
Example 2 (Even Numbers)
Numbers: 2, 4, 6, 8.
Middle two numbers = 4 and 6
Median = 10 ÷ 2 = 5
3. Mode
The mode is the number that appears most frequently.
Example
Numbers: 2, 3, 3, 5, 7, 3, 8.
Number repeated most = 3
Mode = 3
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Exciting News! My YouTube Channel is Live 🎉
Hello everyone!
I've started a new YouTube channel dedicated to Basic Mathematics, Aptitude, and Competitive Exam Preparation.
The goal is to make mathematics simple, practical, and easy to understand.
Please subscribe and support the channel. Your support will motivate me to create more useful content.
Channel: https://youtube.com/@playmathtricks?si=vVIcVp3F9P1g_ihy
Thank you ❤️
Hello everyone!
I've started a new YouTube channel dedicated to Basic Mathematics, Aptitude, and Competitive Exam Preparation.
The goal is to make mathematics simple, practical, and easy to understand.
Please subscribe and support the channel. Your support will motivate me to create more useful content.
Channel: https://youtube.com/@playmathtricks?si=vVIcVp3F9P1g_ihy
Thank you ❤️
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New Video Uploaded: Number System
You can watch it now,
https://youtu.be/eCYk_xUKRs4?si=BBKbi8bxcGoqkl4J
DM for any suggestions, guidance, changes!
You can watch it now,
https://youtu.be/eCYk_xUKRs4?si=BBKbi8bxcGoqkl4J
DM for any suggestions, guidance, changes!
YouTube
Number System #1 | Introduction to Number System | Basic Mathematics | Play Math Tricks
Welcome to the first video of the Number System Series.
In this video, we will learn: ✔ What is a Number System? ✔ Types of Numbers ✔ Natural Numbers ✔ Whole Numbers ✔ Integers ✔ Rational Numbers ✔ Irrational Numbers
Perfect for Aptitude, SSC, Banking,…
In this video, we will learn: ✔ What is a Number System? ✔ Types of Numbers ✔ Natural Numbers ✔ Whole Numbers ✔ Integers ✔ Rational Numbers ✔ Irrational Numbers
Perfect for Aptitude, SSC, Banking,…
Enjoyed the video? Don't forget to Like, Share, and Subscribe to our YouTube channel. More interactive animated videos are coming soon. Keep learning with us!
https://youtu.be/LpN_xfsd8m4
New video uploaded: Laws of arithmatics.
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New video uploaded: Laws of arithmatics.
DM for any suggestions, guidance, changes!
YouTube
Laws of Arithmetic #2 | Addition | Subtraction | Multiplication | Division | Basic Mathematics
Laws of Arithmetic | Basic Mathematics
In this video, we learn the fundamental laws of arithmetic and sign rules used in mathematics and competitive exams.
Topics Covered:
✔ Addition of Positive and Negative Numbers
✔ Subtraction Rules
✔ Multiplication…
In this video, we learn the fundamental laws of arithmetic and sign rules used in mathematics and competitive exams.
Topics Covered:
✔ Addition of Positive and Negative Numbers
✔ Subtraction Rules
✔ Multiplication…
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