Question

A and B start a business. A invests 2 times more than B. After 8 months, A withdraws half of his capital, and B triples his capital. If the total profit after one year is ₹75,000, find the share of A.

• A. ₹40000
• B. ₹50000
• C. ₹60000
• D. ₹37500

Answer 1

Answer:

D. ₹37500

Let B’s initial capital = (x).
Then A’s initial capital = (2x).

We compute capital × time for 12 months.

A’s investment

• First 8 months: (2x \times 8 = 16x)

• After 8 months, A withdraws half ⇒ capital becomes (x)

• Last 4 months: (x \times 4 = 4x)

Total A = (16x + 4x = 20x)

B’s investment

• First 8 months: (x \times 8 = 8x)

• After 8 months, B triples capital ⇒ (3x)

• Last 4 months: (3x \times 4 = 12x)

Total B = (8x + 12x = 20x)

Profit ratio

A : B = 20x : 20x = 1 : 1

A’s share

Total profit = ₹75,000

$A = \frac{1}{2} \times 75,000 = 37,500$

Final Answer:

₹37,500

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