Per cent Profit =`("Income-Expenditure")/("Expenditure")xx100`

If in the year 2008, the income of both the companies A and B was the same, what was the respective ratio of expenditure of company A to te expenditure of comapny B in that year ?

Options

A. `21:25`
B. `9:7`
C. `13:15`
D. Cannot be determined

Answer

C

Explanation

If the income of each company be Rs. X lakh in 2008, then for company A,
`50=(x-E_(1))/(E_(1))xx100`
`150 E_(1)=100x " "....(i)`
For company B,
`30=(x-E_(2))/(E_(2))xx100`
`rArr 130 E_(2)=100x" "....(ii)`
From equation (i) and (ii),
`(E_(1))/(E_(2))=(130)/(150)=13:15`