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
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Correct Answer: Rs. 2736
Solution : Given: 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. Let A's share, B's share and C's share are $x,y,$ and $z$ respectively. According to the question, $2x=3y=5z$ ⇒ $x:y:z=\frac{1}{2}:\frac{1}{3}:\frac{1}{5}=15:10:6$ So, the share of C $=z=14136×\frac{6}{15+10+6}$ = $14136×\frac{6}{31}$ = Rs. 2736 Hence, the correct answer is Rs. 2736.
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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 : 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 : Three partners P, Q, and R share profit such that 4 times P's share is equal to 5 times Q's share and equal to 8 times R's share. What is the ratio of the profits of P, Q, and R respectively?
Option 1: 12 : 8 : 7
Option 2: 10 : 8 : 5
Option 3: 14 : 7 : 9
Option 4: 15 : 9 : 8
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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