Question

A invests ₹60,000 while B invests ₹90,000, with A's investment lasting for 10 months and B's for 8 months. The total profit amounts to ₹40,000. What is the A's share ?

• A. ₹20,181.82
• B. ₹18,181.82
• C. ₹21,181.81
• D. ₹22,181.82

Answer 1

Answer:

B. ₹18,181.82

Profit is divided according to Capital × Time.

Step 1: Calculate capital-time products

• $A: (60{,}000 \times 10 = 600{,}000)$

• $B: (90{,}000 \times 8 = 720{,}000)$

So the profit-sharing ratio is:

$600{,}000 : 720{,}000 = 5 : 6$

Step 2: Find A's share

Total ratio parts:

5 + 6 = 11

A's share:

$\frac{5}{11} \times 40{,}000$
$= \frac{200{,}000}{11}$

₹18,181.82