Question

Sohan started a business with ₹90,000. After 5 months, Rohan joined with ₹1,50,000. After another 3 months, Sohan withdrew ₹30,000. What is the ratio of their profits at the end of the year?

• A. 32 : 35
• B. 15 : 16
• C. 12 : 15
• D. 11 : 12

Answer 1

Answer:

A. 32 : 35

Profit is shared in the ratio of Capital × Time.

Sohan's investment

• ₹90,000 for first 8 months (he withdraws ₹30,000 after 5 + 3 = 8 months)

• Remaining ₹60,000 for last 4 months

Capital-months:

$90,000 \times 8 + 60,000 \times 4$
= 720,000 + 240,000
= 960,000

Rohan's investment

• Joins after 5 months, so invests for (12 - 5 = 7) months

• Capital = ₹1,50,000

$1,50,000 \times 7 = 1,050,000$

Profit ratio

960,000 : 1,050,000

Divide by 30,000:

32 : 35
Ratio of profits $(Sohan : Rohan) = (\boxed{32:35})$.