Question

A and B start a business. A invests ₹80,000 for 9 months, B invests ₹1,20,000 for 6 months. What is B's share of a ₹45,000 profit?

• A. ₹26,500
• B. ₹28,000
• C. ₹36,000
• D. ₹22,500

Answer 1

Answer:

D. ₹22,500

Profit is shared in the ratio of investment × time.

Calculate capitals × time

• $A: (80{,}000 \times 9 = 7,20,000)$

• $B: (1,20,000 \times 6 = 7,20,000)$

  Ratio

• $7,20,000 : 7,20,000 = 1 : 1$
  

• Divide profit

Total parts = (1 + 1 = 2)

B’s share:
$\frac{1}{2} \times 45,000 = 22,500$

Final Answer:

B’s share = ₹22,500