Question : A, B, and C can work together for Rs. 550. A and B together are to do $\frac{7}{11}$ of the work. The share of C should be:
Option 1: Rs. 200
Option 2: Rs. 300
Option 3: Rs. 400
Option 4: Rs. 450
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Correct Answer: Rs. 200
Solution : Given: A, B, and C can work together for Rs. 550. A and B together are to do $\frac{7}{11}$ of the work. C's total work was $(1 - \frac{7}{11})=\frac{11-7}{11}=\frac{4}{11}$ The ratio of (A + B) : C work $=\frac{7}{11}:\frac{4}{11}=7:4$ So, C share $=\frac{4}{11}\times550= \text{Rs.} \ 200$ Hence, the correct answer is Rs. 200.
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Question : Rs. 900 is divided among A, B, and C. The division is such that $\frac{1}{2}$ of A's money =$\frac{1}{3}$ of B's money =$\frac{1}{4}$ of C's money. Find the amounts (in Rs.) received by A, B, and C.
Option 1: 300, 400, and 200
Option 2: 350, 450, and 100
Option 3: 200, 300, and 400
Option 4: 400, 150, and 350
Question : A can do $\frac{1}{3}$rd of a piece of work in 32 days, B can do $37 \frac{1}{2}$% of the same work in 24 days, while C can do 60% of the same work in 48 days. B and C together started and worked for x days. After x days, B left and A joined C and together, completed the remaining work in (x + 8) days. If the ratio of the work done by (B + C) together to the work done by (A + C) together is 9 : 11, then what fraction of the same work can be completed by C alone in 3.5x days?
Option 1: $\frac{18}{25}$
Option 2: $\frac{4}{5}$
Option 3: $\frac{7}{10}$
Option 4: $\frac{3}{4}$
Question : A, B, and C are employed to do a piece of work for Rs. 575. A and C are supposed to finish $\frac{19}{23}$th of the work together. The amount shall be paid to B is:
Option 1: Rs. 210
Option 2: Rs. 100
Option 3: Rs. 200
Option 4: Rs. 475
Question : If $\frac{(a+b)}{c}=\frac{6}{5}$ and $\frac{(b+c)}{a}=\frac{9}{2}$, then what is the value of $\frac{(a+c)}{b}\; ?$
Option 1: $\frac{9}{5}$
Option 2: $\frac{11}{7}$
Option 3: $\frac{7}{11}$
Option 4: $\frac{7}{4}$
Question : A, B, and C are employed to do a piece of work for INR 5,290. A and B together are supposed to do $\frac{19}{23}$ of the work and B and C together $\frac{8}{23}$ of the work. Then A should be paid:
Option 1: INR 4,250
Option 2: INR 3,450
Option 3: INR 1,950
Option 4: INR 2,290
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