Quiz: 8/30 Farah spent 20% of her salary on food, 30% on rent, 10% on utilities and 10% on entertainment. She saved Rs. 6750. What was her salary?
Answers
Answer:
Expenditure :
Food→ 40%
House Rent→ 20%
Entertainment→ 10%
Conveyance→ 10%
Total expenditure = 80%
Savings = 100% - 80% =20%
20%→ 1500
1%→ 150020
Salary(100%)→ 150020×100
= Rs.7500
Given: Farah spent 20% of her salary on food, 30% on rent, 10% on utilities and 10% on entertainment. She saved Rs. 6750.
To find: Farah's salary
Explanation: Let her total salary be x.
Money spent on food
= 20% of x
= (20/100) * x
= x/5
Money spent on rent
= 30% of x
= (30/100) * x
= 3x/10
Money spent on utilities
= 10% of x
= (10/100) * x
= x/10
Money spent on entertainment
= 10% of x
= (10/100) * x
= x/10
Total money spent
= x/5 + 3x/10 + x/10 + x/10
= 2x + 3x + x + x / 10
= 7x / 10
Money saved= Rs. 6750
Now, the sum of total money spent by Farah and her savings must be equal to her salary.
Therefore,
Salary= Money spent + Money saved
=> x = 7x/10 + 6750
=>x - (7x/10) = 6750
=>10x -7x / 10 = 6750
=> 3x/10 = 6750
=> x = 6750 * 10 / 3
= 22500
Therefore, Farah's salary is Rs. 22500.