Question

Arvind started a business by investing ₹80,000. After 4 months, Bhavin joined with ₹1,20,000. At the end of 8 months from the start, Chandan joined with ₹1,60,000. If the total profit is ₹1,05,000 at the end of the year, find the share of Chandan.

• A. ₹26,500
• B. ₹26,000
• C. ₹26,200
• D. ₹26,250

Answer 1

Answer:

D. ₹26,250

Profit is divided in the ratio of (investment × time).

Calculate time periods

• Arvind: 12 months → $(80{,}000 \times 12 = 9,60,000)$

• Bhavin: joined after 4 months → 8 months → $(1,20,000 \times 8 = 9,60,000)$

• Chandan: joined after 8 months → 4 months →$(1,60,000 \times 4 = 6,40,000)$

• Ratio

  $9,60,000 : 9,60,000 : 6,40,000 = 3 : 3 : 2$
  

  Total parts

3 + 3 + 2 = 8

Chandan’s share

$\frac{2}{8} \times 1,05,000 = \frac{1}{4} \times 1,05,000 = 26,250$

Final Answer:

Chandan’s share = ₹26,250