A and B start a business with capital Rs. 3,50,000 and Rs. 1,40,000 respectively. A gets 20% from their total profit for managing the business. If A gets Rs. 38,000 more profit than B, then find the share of B.

Rs. 16,000

                  A       :       B

Inv.    : 350000   :   140000

                 5        :       2

Profit:        5       :       2        =   7R    ......(i)

*If time is same then investment ratio becomes profit ratio*

Now, ATQ

⇒ 20% profit taken by A and remaining 80% (i.e. = 7R) is divided according to their profit ratio.

So,

20% = \(\frac{1}{5}\) = \(\frac{7}{35}\)

⇒ Remaining = 80% = \(\frac{4}{5}\) = \(\frac{28}{35}\) ....(ii)

Multiply (i) by 4 to compare with (ii):

                  A       :       B     ⇒    80%   :  20%(A)  :  Total

Profit:       20      :       8     ⇒      28     :       7      :    35

Hence,

A's total profit = 20R + 7R = 27R

Difference b/w profit of A and B = 27R - 8R = 19R

⇒ 19R = 38000

⇒ 1R = 2000

⇒ B's Profit = 8R = 8 × 2000 = Rs.16000