A started a trading firm by investing Rs. 10 lakhs. After 4 months, B joined the business by investing Rs. 15 lakhs then 2 months after B joined C too joined them by investing Rs. 20 lakhs. 1 year after A started the business they made Rs. 6,00,000 in profit. What is C's share of the profit (in Rs.)?

A started a trading firm by investing Rs. 10 lakhs. After 4 months, B joined the business by investing Rs. 15 lakhs then 2 months after B joined C too joined them by investing Rs. 20 lakhs. 1 year after A started the business they made Rs. 6,00,000 in profit. What is C's share of the profit (in Rs.)? Correct Answer 2,00,000

Given :

A's investment is 10 lakhs 

B's investment is 15 lakhs 

C's investment is 20 lakhs 

A invested for whole year or 12 months

B invested for 8 months (4 months less than A)

C invested for 6 months (2 months less than B)

Concept used :

Person's share in partnership = investment × time period of his investment 

Calculations :

A's total share = 1000000 × 12 = 12000000

B's total share = 1500000 × 8 = 12000000 

C's total share = 2000000 × 6 = 12000000

So, share of A, B and C

A : B : C = 12000000 : 12000000 : 12000000

⇒ 1 : 1 : 1 

Share of C = (1/3) of 600000

⇒ 200000 rupees 

∴ share of C will be 200000 rupees 

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