Percentage
Finding the income when savings and its percent is given
Question (1) Mr. Burger saves `12\1/2`% of his total income, if his saving is $150, find his total income.
Solution
Given, savings in percentage = `12\1/2`% = 12.5%
Saving in dollars = $150
Thus, total income = ?
Let total income of Mr. Burger = x
Thus, 12.5% of x = $150
After cross multiplication, we get
12.5 x = $150 × 100
= 6 × 20 × 10 = $1200
⇒ x = $1200
Thus, total income of Mr. Burger = $1200 Answer
Alternate Method / Shortcut Trick
Given, savings in percentage = `12\1/2`% = 12.5%
Saving in dollars = $150
Thus, total income = ?
If 12.5% = $150
= $1200
Thus, total income of Mr. Burger = $1200 Answer
Alternate Method (2)
Given, savings in percentage = `12\1/2`% = 12.5%
Saving in dollars = $150
Thus, total income = ?
Let total income of Mr. Burger = $100
Thus, saving = 12.5% of $100 = $12.5
Now, if savings is $12.5, then total income = $100
Thus, if savings is $1, then total income = $100/12.5
Thus, if savings is $150, then total income
Thus, total income of Mr. Burger = $1200 Answer
Question (2) Mr. Joseph saves 20% of his total income. If his savings is $250, then what is his total income?
Solution
Given, savings in percentage = 20%
Saving in dollars = $250
Thus, total income = ?
Let total income of Mr. Joseph = x
Thus, 20% of x = $250
After cross multiplication, we get
x = $250 × 5
⇒ x = $1250
Thus, total income of Mr. Joseph = $1250 Answer
Alternate Method / Shortcut Trick
Given, savings in percentage = 20%
Saving in dollars = $250
Thus, total income = ?
If 20% = $250
⇒ 100% = $250 × 5
= $1250
Thus, total income of Mr. Joseph = $1250 Answer
Alternate Method (2)
Given, savings in percentage = 20%
Saving in dollars = $250
Thus, total income = ?
Let total income of Mr. Josph = $100
Thus, saving = 20% of $100 = $20
Now, if savings is $20, then total income = $100
Thus, if savings is $1, then total income = $100/20
Thus, if savings is $250, then total income
Thus, total income of Mr. Joseph = $1250 Answer
Question (3) Mr. John saves 40% of his total income. If his savings is $400, then what is his total income?
Solution
Given, savings in percentage = 40%
Saving in dollars = $400
Thus, total income = ?
Let total income of Mr. John = x
Thus, 40% of x = $400
After cross multiplication, we get
40 x = $400 × 100
⇒ x = $1000
Thus, total income of Mr. John = $1000 Answer
Alternate Method / Shortcut Trick
Given, savings in percentage = 40%
Saving in dollars = $400
Thus, total income = ?
If 40% = $400
⇒ 100% = $10 × 100
= $1000
Thus, total income of Mr. John = $1000 Answer
Alternate Method (2)
Given, savings in percentage = 40%
Saving in dollars = $400
Thus, total income = ?
Let total income of Mr. John = $100
Thus, saving = 40% of $100 = $40
Now, if savings is $40, then total income = $100
Thus, if savings is $1, then total income = $100/40
Thus, if savings is $400, then total income
Thus, total income of Mr. John = $1000 Answer
Question (4) Mr. John saves 25% of his total income. If his savings is $1200, then what is his total income?
Solution
Given, savings in percentage = 20%
Saving in dollars = $1200
Thus, total income = ?
Let total income of Mr. John = x
Thus, 25% of x = $1200
After cross multiplication, we get
x = $1200 × 4
⇒ x = $4800
Thus, total income of Mr. John = $4800 Answer
Alternate Method / Shortcut Trick
Given, savings in percentage = 25%
Saving in dollars = $1200
Thus, total income = ?
If 25% = $1200
⇒ 100% = $1200 × 4
= $4800
Thus, total income of Mr. John = $4800 Answer
Alternate Method (2)
Given, savings in percentage = 25%
Saving in dollars = $1200
Thus, total income = ?
Let total income of Mr. John = $100
Thus, saving = 25% of $100 = $25
Now, if savings is $25, then total income = $100
Thus, if savings is $1, then total income = $100/25
Thus, if savings is $1200, then total income
Thus, total income of Mr. John = $4800 Answer
Reference: