Question : Three brothers divided Rs. 1620 among themselves so that the share of the second equals $\frac{5}{13}$th of the other two combined shares. What is the share of the second one?
Option 1: Rs. 1170
Option 2: Rs. 450
Option 3: Rs. 540
Option 4: Rs. 500
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Correct Answer: Rs. 450
Solution : Let the shares of the three brothers be A, B, and C. The ratio of B's share to the combined shares of A and C = 5 : 13 So, B's share $=\frac{5}{5+13}\times 1620 = 450$ Hence, the correct answer is Rs. 450.
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Question : Rs. 782 is divided into three parts in the ratio $\frac{1}{2}:\frac{2}{3}:\frac{3}{4}$. The first part is:
Option 1: Rs. 182
Option 2: Rs. 204
Option 3: Rs. 190
Option 4: Rs. 196
Question : A sum of Rs. 770 has been divided among A, B and C so that A receives $\frac{2}{9}$th of what B and C together receive. Then A's share is:
Option 1: Rs. 140
Option 2: Rs. 154
Option 3: Rs. 165
Option 4: Rs. 170
Question : A profit of Rs. 960 is divided between A and B in the ratio of $\frac{1}{3}: \frac{1}{5}$. The difference in their profits is:
Option 1: Rs. 120
Option 2: Rs. 160
Option 3: Rs. 180
Option 4: Rs. 240
Question : If $\sqrt{1+\frac{x}{144}} = \frac{13}{12}$, then $x$ equals to:
Option 1: 1
Option 2: 13
Option 3: 27
Option 4: 25
Question : Sandy and Mandy do $\frac{8}{13}$th part of a work and the rest of the work was completed by Andy. If Sandy, Mandy and Andy take the same work for Rs. 2600, then what is the share (in Rs.) of Andy?
Option 1: 1600
Option 2: 1400
Option 3: 800
Option 4: 1000
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