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