Rahul's monthly salary is Rs. $2 p^{2} + p - 3$ . His annual expenditure is Rs. $14 p^{2} + 6 p - 10.$ Find his annual saving.

Rs.

(2 p^{2} + p - 6)

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Rs.

(10 p^{2} + 6 p - 13)

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Rs.

(2 p^{2} + 6 p - 42)

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Rs.

(10 p^{2} + 6 p - 26)

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Solution

The correct option is D Rs. $(10 p^{2} + 6 p - 26)$
Monthly salary is Rs. $2 p^{2} + p - 3$
Thus,
Annual salary is = $12 \times (2 p^{2} + p - 3)$
= $24 p^{2} + 12 p - 36$
Given,
Annual expenditure is= $14 p^{2} + 6 p - 10$
Therefore
Annual savings =salary - expenditue
= $24 p^{2} + 12 p - 36 - (14 p^{2} + 6 p - 10)$
= $24 p^{2} + 12 p - 36 - 14 p^{2} - 6 p + 10$
= $10 p^{2} + 6 p - 26$

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