Question

Sameer spends 40% of his salary on food articles and 1/3rd of the remaining on transport. If he saves rs.450 per month which is half of the balance after spending on food items and transport, what is his monthly salary?

Answer 1

Let the monthly earnings = x

40% on food = 40x/100

remaining salary = x - 40x/100 = 60x/100

one third of the remaining = (60x/100) * 1/3 = 20x/100

left salary = x - 40x/100 - 20x/100 = 40x/100

half of the left salary = (40x/100) * 1/2 = 20x/100

now the equation becomes

20x/100 = 4500

x = 22500

Answer 2

Monthly salary is Rs 2250  if Sameer spends 40% of his salary on food articles and 1/3rd of the remaining on transport  and saves rs.450 per month which is half of the balance after spending on food items and transport

Given:

• Sameer spends 40% of his salary on food articles and 1/3rd of the remaining on transport
• he saves rs.450 per month which is half of the balance after spending on food items and transport

To Find:

• Monthly salary

Solution:

Step 1:

Assume that Salary is 100x  Rs

Step 2:

Calculate 40 % of salary as spend on food articles

spend on food articles = (40/100) 100x = 40x  Rs

Step 3:

Subtract spend on food articles from salary to find remaining

Remaining = 100x - 40x = 60x Rs

Step 4:

Calculate one third of remaining to find spend on transport

spend on transport = (1/3)60x = 20x Rs

Step 5:

Subtract spend on transport from remaining to get further remaining

Further Remaining =60x - 20x = 40x Rs

Step 6:

Equate Half of 40x  with 450  and calculate 100 x

(1/2) 40x  = 450

=> 20x = 450

=> 20x * 5 = 450 * 5

=> 100x = 2250  Rs

Monthly salary is 2250 Rs