Question : A, B, and C made certain investments and the ratio of their time periods is 3 : 2 : 7 respectively. The ratio of the profits of A, B, and C is 4 : 3 : 14 respectively. What is the ratio of the investments of A, B, and C?

Option 1: 1 : 3 : 4

Option 2: 7 : 9 : 11

Option 3: 8 : 9 : 12

Option 4: 2 : 3 : 11

Question : A, B and C invested capital in the ratio 5 : 7 : 4, the timing of their investments being in the ratio x : y : z. If their profits are distributed in the ratio 45 : 42 : 28, then x : y : z =?

Option 1: 9 : 6 : 7

Option 2: 7 : 9 : 4

Option 3: 9 : 4 : 7

Option 4: 6 : 7 : 9

Question : A, B, and C received an amount of Rs. 8400 and distributed it among themselves in the ratio 6 : 8 : 7, respectively. If they save in the ratio of 3 : 2 : 4, respectively, and B saves Rs. 400, then what is the ratio of the expenditures of A, B, and C respectively?

Option 1: 6 : 8 : 7

Option 2: 8 : 6 : 7

Option 3: 9 : 14 : 10

Option 4: 12 : 7 : 9

Question : A, B, and C started a business with their investments in the ratio 1 : 2 : 4. After 6 months A increased his capital by 50% and B invested twice the amount as before, while C withdrew $\frac{1}{4}$th of his investment. The ratio of their profits at the end of the year was:

Option 1: 10 : 5 : 9

Option 2: 5 : 12 : 14

Option 3: 6 : 9 : 17

Option 4: 5 : 14 : 16