Multiple choice

J, K and L initially invested some amounts in a business in the respective ratio of 3 : 2 : 1. After 9 months, J invested more amount equal to K's and L's total initial investments, K invested more amount equal to J's and L's total initial investments, and L invested more amount equal to J's and K's total initial investments. In what ratio should they share the profit at the end of the year?

  1. J : K : L = 3 : 2 : 1

  2. J : K : L = 4 : 3 : 2

  3. J : K : L = 5 : 4 : 3

  4. J : K : L = 6 : 5 : 4

  5. J : K : L = 4 : 5 : 6

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Initial: J=3, K=2, L=1. After 9 months: J adds 2+1=3, K adds 3+1=4, L adds 3+2=5. Total investment for J: (3*9) + (6*3) = 27+18=45. For K: (2*9) + (6*3) = 18+18=36. For L: (1*9) + (6*3) = 9+18=27. Ratio 45:36:27 = 5:4:3.