Rehman's mother has given him money to buy some boxes from the market at the rate of $x^{2} + 2 x - 3$ . The total amount of money given by his mother is represented by $4 x^{4} + 2 x^{3} - 2 x^{2} + x - 1$ . Out of this money, he donated some amount to a child who was studying in the light of a street lamp. Find how much amount of money he must have so that he is able to buy exact and maximum number of boxes from the market.
What can you inculcate in yours life from above incident of Rehman's life?

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Solution

Rate per box $= x^{2} + 2 x - 3$
Total amount of money given by Rehman's mother $= 4 x^{4} + 2 x^{3} - 2 x^{2} + x - 1$
$= 4 x^{4} + 2 x^{3} - 2 x^{2} + x - 1$ to be exactly divisible by $(x^{2} + 2 x - 3), - 61 x + 65$ has to be subtracted.
$∴$ Amount of money donated to the child $= 65 - 61 x$
$∴$ He must have $R s . (4 x^{4} + 2 x^{3} - 2 x^{2} + 62 x - 66)$ to buy exact no of boxes.
Maximum no of boxes bought from the market $= 4 x^{2} - 6 x + 22$
Rehman is a good observant and a kind person. He knows the value of studies in life. Thus, we can inculcate these values in our life too.

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