Question : If $\triangle A B C \sim \triangle F D E$ such that $A B=9 \mathrm{~cm}, A C=11 \mathrm{~cm}, D F=16 \mathrm{~cm}$ and $D E=12 \mathrm{~cm}$, then the length of $BC$ is:

Option 1: $5 \frac{3}{4} \mathrm{~cm}$

Option 2: $4\frac{3}{5} \mathrm{~cm}$

Option 3: $3\frac{5}{7} \mathrm{~cm}$

Option 4: $6\frac{3}{4} \mathrm{~cm}$

Question : A, B and C were partners in a firm sharing profits in a 3: 3: 2 ratio. They admitted D as a new partner for 4/7 profit. D acquired his share 2/7 from A, 1 / 7 from B and 1 / 7 from C. The new profit sharing ratio will be

Option 1: 5:13:6:32

Option 2: 5:13:6:4

Option 3: 3: 3: 2: 4

Option 4: None of the above