Question

Expenditure of company B in 1996 and 1997 are Rs.12 lakh and Rs.14.5 lakh respectively. What was the total income of company B in 1996 and 1997 together (in lakh rupees), if the profit earned in the years 1996 and 1997 are 35% and 50% respectively.

• A. 39.75
• B. 37.95
• C. 38.75
• D. 38.5
• E. None of these

Answer 1

Answer: (B)

$\left(37.95\right)$

Given: Expenditure of company B in $1996$ and $1997$ are $Rs.12$ lacks and $14.5$ lacks, and the corresponding years profits are $35\%$ and $50\%$ respectively.

Let total income be $x$

Since, $Profit=\frac{(x-Expenditure)}{Expenditure}\times 100$

$\begin{array}{c}\Rightarrow 35=\frac{x-12}{12}\times 100\\ \therefore x=16.2\\ \text{Similar way,}\frac{x-14.5}{14.5}\times 100=50\\ \Rightarrow x-14.5=\frac{50\times 14.5}{100}\\ \Rightarrow x=7.25+14.5\\ \therefore x=21.75\\ \therefore Totalincome=16.2+21.75=37.95lakh\end{array}$