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Q.

The prize money of 1,800 is divided among 3 student A B and C in such a way that 4 times the share of A is equal to 6 times the share of B, which is equal to 3 times the share of C. Then A's share is

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a

$₹ 700$

b

$₹ 400$

c

$₹ 800$

d

$₹ 600$

answer is B.

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Detailed Solution

$\begin{aligned} 4 A = 6 B \Rightarrow 2 A = 3 B \Rightarrow A : B = 3 : 2 \\ B = 3 C \Rightarrow 2 B = C \Rightarrow B : C = 1 : 2 \end{aligned}$

Question Image

A, s share $= \frac{3}{(3 + 2 + 4)} \times 1800 = \frac{3}{9} \times 1800 = 600$

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The prize money of 1,800 is divided among 3 student A B and C in such a way that 4 times the share of A is equal to 6 times the share of B, which is equal to 3 times the share of C. Then A's share is