Question

'A' and 'B' invested Rs. 20000 and Rs. 30000
respectively, in a business together. After 8 months,
'B' left the business and 'C' joined with a capital of Rs.
10000. 4 months after joining of 'C', 'A' withdrew half
of his investment. If the total profit received by them
at the end of 1.5 years is Rs. 24000, then find the
profit share of 'B?​

Answer 1

Answer:

Given:

A, B, C invest Rs. 20000, Rs. 30000, Rs. 40000 in a business.

After one year, A withdrew his money but B and C continued for one more year. If the net profit after 2 years be Rs. 32000

Formula used:

Investment1 × time1 : Investment2 × time2 : Investment3 × time3

Calculation:

A invest Rs. 20000 for 1 year

B invest Rs. 30000 for 2 year

C invest Rs. 40000 for 2 year

According to the question,

⇒ 20000 × 1 : 30000 × 2 : 40000 × 2

⇒ 1 : 3 : 4

The net profit after 2 years be Rs. 32000

A’s share in the profit

⇒ 32000(1/(1 + 3 + 4))

⇒ Rs. 4000

∴ A’s share in the profit is Rs. 4000.