A started a business with a capital of ₹1,12,000. After 2 months, B joined the business with a capital of ₹80,000, and after another 2 months, C joined the business with a capital of ₹72,000. After 10 months from thestart of the business, B withdrew %8,000 and C also withdrew ₹8,000. If B received ₹9,800 as his share in the profit at the end ofa year, then the total profit was:

Number of months A worked = 12 months 

number of months B worked = 10 months

and number of months C worked = 8 months

According to question $$112000\times 12 : 80000 \times 8 +72000\times 8 : 72000\times6 + 64000\times 2 $$

$$\Rightarrow 336 :160 + 36 : 108 +32 $$

$$\Rightarrow 168 : 198 : 90 $$

$$\Rightarrow 84 : 49 :35 $$

Recovered profit = 9800 then according question 

that $$\dfrac {49}{168} \times x = 9800 ( let  x  is  total  profit)$$

$$\Rightarrow x =\dfrac {9800\times 168}{49}$$

$$\Rightarrow x  = 200\times 168 $$

$$\Rightarrow x = 33600$$ Ans