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P and Q started a business with equal capital. P withdrew from the business at the end of 4 months. If, at the end of the year, the business made a pr
Question

P and Q started a business with equal capital. P withdrew from the business at the end of 4 months. If, at the end of the year, the business made a profit of 6,400, then the share of P is:

A.

Rs. 1,600

B.

Rs. 3,200

C.

Rs. 1,800

D.

Rs. 1,750

Correct option is A

Given:

Total profit = Rs6400

p invested for = 4 months 

q invested for = 12 months 

Solution:

ratio of their profit = ratio of months they invested because investment is same

P:Q =4:12

=1:3

so profit P =6400×11+3\frac{6400\times1}{1+3}

           =6400\4

=RS1600

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