P and Q started a business by investing Rs 50000 and Rs 40000 respectively. After 4 months, P withdraws Rs 20000 while Q invest Rs 70000 more after 6 months of starting the business. At the end of the year P’s share in the profit is Rs 11000. What will be the total profit (in Rs) at the end of year?

P invested Rs. 50,000 for 4 months and Rs. 30,000 for 8 months

Q invested Rs. 40,000 for 6 months and Rs. 110,000 for 6 months

=> Ratio of profits of P:Q = $$[(50,000\times4)+(30,000\times8))]:[(40,000\times6)+(110,000\times6)]$$

= $$(20+24):(24+66)=44:90=22:45$$

Let total profit earned = Rs. $$x$$

=> P's share = $$\frac{22}{(22+45)}\times x=11,000$$

=> $$x=11,000\times\frac{67}{22}$$

=> $$x=500\times67=Rs.$$ $$33,500$$

=> Ans - (A)