Question

The questions is based on the following table. The percentage growth in sales turnover of five companies over the respective previous years.
Company D had earned a profit of Rs 41 croses, Which was 25% of its total sales in 2000. What its sales in 1997 approximately?
$\begin{array}{ccccc}NameoftheCompany& 1998& 1999& 2000& Projectedfor2001\\ A& 10& 20& 30& 45\\ B& 15& 15& 30& 38\\ C& 8& 20& 30& 30\\ D& 5& 30& 20& 40\\ E& 12& 20& 28& 42\end{array}$

Answer 1

Let A,B,C,D & E represent their respective turnover in 1997.
Their respective turnover in 2000 will be
$A\times 1.1\times 1.2\times 1.3=1.716AB\times 1.5\times 1.15\times 1.3=1.71925BC\times 1.08\times 1.2\times 1.3=1.6848CD\times 1.05\times 1.3\times 1.2=1.6838DE\times 1.12\times 1.2\times 1.28=1.72032E$
25% at sales in 2000 =41 crores
0.25x =410000000
$x=\frac{41\times {10}^7}{0.25}=SalesofDin2000$
Let sales of D in 1997 =d
$\therefore d\times 1.05\times 1.3\times 1.2=\frac{41\times {10}^7}{0.25}\Rightarrow d\approx 10crores$