Question

Shyam saves 30% of his salary. If his expense is 14,000, find his total income and savings.​

Answer 1

Given information

• ↠ Shyam saves 30% of his salary.
• ↠ Shyam expense is 14,000

What we need to calculate

• ↠ We have to find shyam total income and savings?

How we solve this question

• ↠Assume a variable (unknown) eg:- x or y
• ↠According to statement setup equation
• ↠After that Solve equation

Let's us assume

• ↠ Let Shyam total income be x

Finding out Shyam total income and savings

❏ Shyam saving is given 30%

• 30% of x

❏ Expense of Shyam

• 30 % - 100% = 70% of x

Forming an equation

❏ Expense % added to total income equal to Expense 14,000

Therefore

• ↠70% + x = 14,000

Solving equation

➺ 70 % + x = 14,000

• 70% is also written as 70/100

➺ 70/100 + x = 14,000

• Transferring sides

➺ 70 + x = 14,000 × 100

• multiplying

➺ 70 + x = 1,400,000

• Again transferring sides

➺ x = 1,400,000/70

• Dividing 1,400,000 by 70

➺ x = 20,000

Total income of Shyam is Rs.20,000

Now we find savings of Shyam

as we know

Saving of Shyam = Total income of Shyam - Expense of Shyam

• Submitting values

➺ Saving of Shyam = 20,000 - 14,000

• On subtracting

➺ Saving of Shyam = Rs.6000

Therefore the saving of Shyam is Rs.6000 and Total income is Rs.20,000

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