Question

A starts a business with a capital of 5000. B
and C join the business after 3 months and 5
months respectively. If B and C invests rupees 6000
and rupees 8000 in the business respectively and
the make a profit of rupees 3400, find what part of
the profit each one will get. (WB.M. 2005)​

Answer 1

Step-by-step explanation:

Given :

• A starts a business with a capital of 5,000
• B and C join the business after 3 months and 5 months respectively.
• B and C invests Rs. 6,000
• and Rs. 8,000 in the business respectively

To find :

• Part of the profit each one will get

Solution :

A Invested amount :

= 5,000 × 12 = 60,000

B Invested amount :

= 6,000 × 9 = 54,000

C Invested amount :

= 8,000 × 7 = 56,000

★ Ratio of investment :

• 60,000 : 54,000 : 56,000
• 60 : 54 : 56
• 30 : 27 : 28

Total Profit = Rs. 3,400

• A's Share =

⇒ 3,400 × (30/85) = 1,200

• B's Share =

⇒ 3,400 × (27/85) = 1,080

• C's Share =

⇒ 3,400 × (28/85) = 1,120

Therefore,

• A get = Rs. 1,200
• B get = Rs. 1,080
• C get = Rs. 1,120