Percentage - Arithmetic

Question (1) Mr. Burger saves % of his total income, if his saving is $150, find his total income.

Solution

Given, savings in percentage = % = 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 = % = 12.5%

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 = % = 12.5%

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