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For a business, A and B invested Rs. 64,000 each. After 6 months, A invested Rs. 6,000 more and B withdrew Rs. 4,000. After nine months, C joins and invested Rs. 96,000 and A withdrew Rs. 10,000. After two years from the start of the business, profit earned was Rs. 2,00,610. What is A’s, B’s and C’s share?

For a business, A and B invested Rs. 64,000 each. After 6 months, A invested Rs. 6,000 more and B withdrew Rs. 4,000. After nine months, C joins and invested Rs. 96,000 and A withdrew Rs. 10,000. After two years from the start of the business, profit earned was Rs. 2,00,610. What is A’s, B’s and C’s share? Correct Answer A = Rs. 69,930 B = Rs. 65,880 C = Rs. 64,800

GIVEN :

A and B invested Rs. 64,000 each.

After 6 months, A invested Rs. 6,000 more and B withdrew Rs. 4,000.

After nine months, C joins and invested Rs. 96,000 and A withdrew Rs. 10,000.

After two years from the start of the business, profit earned was Rs. 2,00,610

 

FORMULA USED :

Profit = Investment x Time

 

CALCULATION :

Ratio of their share in profit = Ratio of their investments

⇒ 64000 × 6 + 70000 × 9 + 60000 × 9 ∶ 64000 × 6 + 60000 × 18 ∶ 96000 × 15

Thus, ratio of their investments = 1554000 ∶ 1464000 ∶ 144000

= 1554 ∶ 1464 ∶1440

= 777 ∶ 732 ∶ 720

Profit earned after a year = Rs. 2,00,610

A’s share = (777/2229) × 2,00,610 = Rs. 69,930

B’s share = (732/2229) × 2,00,610 = Rs. 65,880

C’s share = (720/2229) × 2,00,610 = Rs. 64,800

Thus, A’s share is Rs. 69930, B’s share is Rs. 65880 and C’s share is Rs.  64800.

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