A and B start a business with capital Rs. 28,000 and Rs. 21,000 respectively. A gets 20% from their total profit for managing the business. If A gets Rs. 220 more profit than B, then find the share of B.

Rs. 240

                  A       :       B

Inv.    :   28000   :   21000

                  4       :       3

Profit:        4       :       3        =   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:       16      :       12   ⇒      28     :       7      :    35

Hence,

A's total profit = 16R + 7R = 23R

Difference b/w profit of A and B = 23R - 12R = 11R

⇒ 11R = 220

⇒ 1R = 20

⇒ B's Profit = 12R = 12 × 20 = Rs.240