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 ₹)?
Answer & explanation
Correct answer: option 1
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