Question : If Rs. 1980 is divided among A, B, and C so that half of A's part, one-third of B's part, and one-sixth of C's part are equal, then B's part is:
Option 1: Rs. 540
Option 2: Rs. 660
Option 3: Rs. 1080
Option 4: Rs. 360
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Correct Answer: Rs. 540
Solution : According to the question, $\frac{A}{2}=\frac{B}{3}=\frac{C}{6}=k$ Let $A= 2k, B = 3k,$ and $C= 6k$ $\therefore$ A : B : C = 2 : 3 : 6 The sum of the terms of the ratio = 2 + 3 + 6 = 11 Total amount = Rs. 1980 $\therefore$ B’s share = Rs.$(\frac{3}{11}×1980)$ = Rs. $ 540$ Hence, the correct answer is Rs. 540.
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Question : Rs. 600 is divided among A, B and C, Rs. 40 more than $\frac{2}{5}$th of A's share, Rs. 20 more than$\frac{2}{7}$th of B's share and Rs. 10 more than $\frac{9}{17}$th C's share are all equal. Then A's share is:
Option 1: Rs. 150
Option 2: Rs. 170
Option 3: Rs. 280
Option 4: Rs. 140
Question : Rs. 600 is divided among A, B, and C. Rs. 40 more than $\frac{2}{5}$th of A's share, Rs. 20 more than $\frac{2}{7}$th of B's share and Rs. 10 more than $\frac{9}{17}$th C's share are all equal. Then A's share is:
Question : Divide Rs. 14136 among A, B, and C such that 2 times A's share, 3 times B's share and 5 times C's share are all equal. What is the share of C?
Option 1: Rs. 3680
Option 2: Rs. 456
Option 3: Rs. 2736
Option 4: Rs. 1413
Question : Rs. 1200 are divided among X, Y, and Z such that Y's share is Rs. 200 more than X's share. Y's share is also Rs. 200 less than Z's share. The share of Y is:
Option 1: Rs. 200
Option 2: Rs. 600
Option 3: Rs. 800
Option 4: Rs. 400
Question : Rs. 15000 is divided among E, F, and G. E's share and F's share are in the ratio of 3 : 2. F's share and G's share are in the ratio of 6 : 5. How much amount will F receive?
Option 1: Rs. 3750
Option 2: Rs. 6750
Option 3: Rs. 4500
Option 4: Rs. 6000
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