Question

Mohan invested Rs. 100,000 in a garment business. After few months, Sohan joined him with Rs. 40000. At the end of the year, the total profit was divided between them in ratio 3 : 1. After how many months did Sohan join the business?

• A. 3
• B. 2
• C. 4
• D. 5

Answer 1

Answer:

B. 2

Let us consider Sohan joined the business after x months ⇒ (1,00,000 × 12)/ (40,000 × (12 - x)) = 3/1 ⇒ 12,00,000 = 3 (4,80,000 - 40,000x) ⇒ 12,00,000 = 1440000 - 1,20,000x ⇒ 1,20,000x = 14,40,000 - 12,00,000 ⇒ 1,20,000x = 2,40,000 ⇒ x = 2,40,000/1,20,000 = 2