A's and B's shares in a business are in the ratio of 5:3. If A has invested Rs. 70000 for 12 months, for what period B has invested Rs. 60000?

8.4 months

\(\frac{ \text{Profit of A}}{\text{Profit of B}}\) = \(\frac{\text{Amount invested by A × months}}{ \text{Amount invested by B × months}}\)

\(\frac{ 5}{3 }\) = \(\frac{70000 × 12 }{ 60000 × x}\)

300000x = 252000

x = \(\frac{252000}{300000}\)

x = 0.84

= 8.4 months