Correct Answer - Option 1 : 10000
Given:
Percentage of salary spend on traveling = 10%
Percentage of remaining salary spend on food = 15%
Percentage of remaining salary spend on books = 10%
Percentage of remaining salary spend on rent = 20%
Total savings = 4950
Concept used:
Saving = Income - Expenditure
Calculation:
Let the monthly salary of Sanjay be Rs. x.
Salary spend on travelling = x × (10/100)
⇒ 0.1x
Remaining salary = x – 0.1x = 0.9x
Expenditure on fooding = 0.9x × (15/100)
⇒ 0.135x
Expenditure on books = 0.9x × (10/100)
⇒ 0.09x
Expenditure on rent = 0.9x × (20/100)
⇒ 0.18x
Then, Savings = x – (0.1x + 0.135x + 0.09x + 0.18x) = 4950
⇒ x – 0.505x = 4950
⇒ 0.495x = 4950
⇒ x = 10000
∴ The salary of Sanjay is Rs. 10000.