Directions [Set of 5 questions]: Read the data carefully and answer t...
Expenditure on different items can be calculated as:
Total expenditure of Mr. Singh = 40500 .......... (i)
Bills (Mr. Singh) = 4050 ......... (ii)
Let Bills (Mr. Sharma) be Y
Then,
Y = Bills (Mr. Singh) + 1020
Y = 4050 + 1020 .......... (from (ii))
Bills (Mr. Sharma) = 5070
Bills (total) = (5070 + 4050) = 9120 ....... (iii)
House Rent (Mr. Singh) = Bills (Total) x 125/100
House Rent (Mr. Singh) = 9120 x 125/100 = 11400 ........ (from (iii))
Interest Payment (total) = 18240 ........ (iv)
Education (Mr. Sharma) = Bills (Mr. Singh) x 160/100
Education (Mr. Sharma) = 4050 x 160/100 = 6480
Grocery (Mr. Sharma) = Education (Mr. Sharma) x 175/100
Grocery (Mr. Sharma) = 6480 x 175/100 = 11340
Grocery (Mr. Singh) = 2 x Bills (Mr. Sharma) x 125/100
Grocery (Mr. Singh) = 2 x 5070 x 125/100 = 12675
Expenditure of Mr. Singh on Education to Interest payment = 2:3 ........ (v)
Let Education (Mr. Singh) be 2Y
Interest Payment (Mr. Singh) = 3Y
Then,
(2Y + 3Y) = 40500 - (11400 + 12675 + 4050) ........ (from (i))
5Y = 12375
Y = 2475
Thus, Education (Mr. Singh) = (2 x 2475) = 4950
Interest Payment (Mr. Singh) = (3 x 2475) = 7425
Interest Payment (Mr. Sharma) = (18240 - 7425) = 10815
House Rent (Mr. Sharma) = 3 x Education (Mr. Singh) x 80/100
House Rent (Mr. Sharma) = 3 x 4950 x 80/100 = 11880
Based on the above data we get:
Let the monthly salary of Mr. Singh be Y
Then,
Y x 7.5/100 = 4050
Y = 4050 x 100/7.5 = 54000
Expenditure on house rent and grocery = (11400 + 12675) = 24075
Required percentage = 24075/54000 x 100 ≈ 44.5%