arithmetic - x and y started a business investing in the ratio of 5 6 z joined them after six months investing an amount equal to that of ys at the end of the year 20 profit was earned which was equal to rs 98000 what was the amount invested by z - skillgun

Let the total profit be Rs. z,
Then, 20% of z = 98000
=> z = 98000 x 100/20
= 490000.
Let the capitals of X, Y and Z be Rs. 5x. Rs. 6x and Rs. 6x respectively. Then,
=> (5x x 12) + (6x x 12) + (6x x 6) = 490000 x 12
=> 168x = 490000 x 12
=> x = 490000 x 12/168
= 35000.
=> Z's investment = 6x = Rs. (6 x 35000) = Rs 210000.