Explanation:

- Let Bani’s capital = Rs. 55,000.

- Sandeep joins after 5 months for 7 months (since year = 12 months).

- The share of profit is based on ‘capital × time’:

- Bani: 55,000 × 12 = 6,60,000

- Sandeep: Let capital = x; Sandeep’s share = x × 7

- The ratio is given as:

\(\frac{Bani}{Sandeep} = \frac{66,0000}{7x} = \frac{11}{14}\)

- Cross multiplying:

\(11 × 7x = 14 × 6,60,000\) ? \(77x = 92,40,000\) ? \(x = 1,20,000\)

- So, Sandeep invested Rs. 1,20,000.

- Option 1: Rs. 1,00,000 ?

- Option 2: Rs. 1,10,000 ?

- Option 3: Rs. 1,20,000

- Option 4: Rs. 1,40,000 ?

- Option 5: None of these ?