Question

What time later did E invest money after B joined the business?

• A. 2 months
• B. 3 months
• C. 4 months
• D. 5 months
• E. 6 months

Answer 1

The correct option is B

3 months

B's investment $=\frac{26000}{3502}\times 2020\approx Rs.15000$

E's investment $=\frac{26000}{3502}\times 3771\approx Rs.28000$

A invested $Rs.26000$ for 12 months and earned $Rs.6240$.

Suppose B invested $Rs.15000$ for $x$ months and earned $Rs.2400$.

$\begin{array}{c}\therefore \frac{26000\times 12}{15000\times x}=\frac{6240}{2400}\\ \Rightarrow x=\frac{240\times 26\times 12}{624\times 15}=8months\end{array}$

Let E invest $Rs.28000$ for $y$ months and earn profit = $Rs.2800$.

$\begin{array}{c}So,\frac{26000\times 12}{28000\times y}=\frac{6240}{2800}\\ \therefore y=\frac{280\times 26\times 12}{624\times 28}=5months\end{array}$

So, B has invested after 4 months and E after 7 months.
$\therefore$ B invested 3 months after E invested.