Keshav, Surjeet and Thomas started a business with investments in the ratio 2 : 3 : 4. The ratio of their period of investments is 5 : 6 : 9. Twenty percent of the profit was spent on rent and maintenance of the office. Remaining profit was distributed among themselves. If the difference in the shares of profit of Keshav and Surjeet is ₹7264, then how much is the total profit (in ₹)?

72640

Ratio of investment of Keshav, Surjeet and Thomas = 2 : 3 : 4

The ratio of their period of investments = 5 : 6 : 9

Profit spent on rent and maintenance = 20%

The difference in the shares of profit of Keshav and Surjeet = Rs. 7264

Let the ratio of their period of investments be 5m, 6m and 9m respectively

Profit of Keshav = (5m × 2) = 10m

Profit of Surjeet = (6m × 3) = 18m

Profit of Thomas = (9m × 4) = 36m

According to the question 

18m – 10m = 7264

⇒ m = 908

So, Profit of Keshav + Surjeet + Thomas = 64m 

⇒ 64 × 908 = 58112

But it is the 80% of the actual profit 

So, 80% = 58112

So, 100% = 72640