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

In partnership, the profit share is proportional to Investment × Time.

Given:

• A : B's profit share = 5 : 3
• A invested ₹70,000 for 12 months
• B invested ₹60,000 for x months

So,

$\frac{70000 \times 12}{60000 \times x} = \frac{5}{3}$

Simplify:

$\frac{7 \times 12}{6x} = \frac{5}{3}$

$\frac{84}{6x} = \frac{5}{3}$

$\frac{14}{x} = \frac{5}{3}$

Cross-multiply:

$14 \times 3 = 5x$

$42 = 5x$

$x = \frac{42}{5} = 8.4 \text{ months}$