The given table shows the bank transaction of Ram,
Month June July August
Deposit (Rs.) $2 x + y + z$ $x + 2 y + 3 z$ $x + 4 z$
Withdrawal (Rs.) $x - y - z$ $x - 2 y + 3 z$ $2 x - 3 z$
His balance for the month of September is

2 (3 y + 4 z)

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3 (2 y + 3 z)

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2 (3 x + 4 y)

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8 x + 7 z

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Solution

The correct option is D $3 (2 y + 3 z)$
Total deposit $= 2 x + y + z + x + 2 y + 3 z + x + 4 z = 4 x + 2 y + 8 z$ .
Total withdrawal $= x - y - z + x - 2 y + 3 z + 2 x - 3 z = 4 x - 3 y - z$
$∴ B a l a n c e = 4 x + 3 y + 8 z - 4 x + 3 y + z = 6 y + 9 z = 3 (2 y + 3 z)$ .

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