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
Correct Answer: Rs. 400
Solution :
Let the share of X be $x$.
According to the problem, Y's share is Rs. 200 more than X's share.
$\therefore$ Y's share is $x + 200$.
Y's share is also Rs. 200 less than Z's share.
$\therefore$ Z's share = $(x + 200) + 200 = x + 400$
The total amount of Rs.1200 is divided among X, Y, and Z.
$⇒x + (x + 200) + (x + 400) = 1200$
$⇒x = 200$
$\therefore$ Y's share $=x + 200 = 200 + 200 = 400$
Hence, the correct answer is Rs. 400.
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