Question

A, B, and C invest in a ratio of 2:3:5. After one year, C withdraws his amount. If the total profit after 2 years is Rs.1,00,000, then the share of B is:

• A. Rs.30,000
• B. Rs.35,000
• C. Rs.40,000
• D. Rs.45,000

Hint:

Always multiply investment by time to get profit ratio in partnership problems.

Answer 1

The Correct Option is C

Concept: Profit is proportional to investment $\times$ time.
Step 1: Investment ratio.
\[ A : B : C = 2 : 3 : 5 \]
Step 2: Time periods.
\[ A = 2 \times 2 = 4,\quad B = 3 \times 2 = 6 \] \[ C = 5 \times 1 = 5 \quad ({withdrawn after 1 year}) \]
Step 3: Profit ratio.
\[ A : B : C = 4 : 6 : 5 \]
Step 4: Total parts.
\[ 4 + 6 + 5 = 15 \]
Step 5: B's share.
\[ {B's share} = \frac{6}{15} \times 100000 = 40000 \]
Hence, the share of B is Rs.40,000.