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 prof… — Answer & Discussion

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?

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Discussion 1

CCommunity23 May 2019

Given that profit was divided between them in the ratio 3 : 1

Let us consider Sohan joined the business after (12 - 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

∴ After 2 months Sohan join the business