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. Remaning profit was distributed among themselves. If the difference in the shares of profit of Keshav and Surjeet is Rs. 7264, then how much is the total profit (in Rs.)?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 72640
We knows that,
Total profit = Investment × time period
The ratio of their investment = 2 : 3 : 4
Let their investment will be 2x, 3x and 4x.
The ratio of their time period = 5 : 6 : 9
Let the time period be 5y, 6y and 9y.
Ratio of their profit = 10xy : 18xy : 36xy
80% of total profit = 10xy + 18xy + 36xy = 64xy
100% profit = 80xy.
Difference of the profit of Keshav and Surjeet = 18xy - 10xy = 8xy
8xy = 7264.
xy = 908
Total profit = 80 × 908 = 72640.