Answer

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**Hint:**

Here we will first find the amount after the discount offered on the goods. Then we will apply the addition of the tax percentage to the amount after the discount to get the value of the final amount she will have to pay for the good.

**Complete step by step solution:**

It is given that Vinita buys goods worth Rs. 55000. So, the principal amount is Rs. 55000.

Now a discount of \[5\% \] is given to it. So, we will find the amount after getting the discount of \[5\% \] on the total worth of the goods. Therefore, we get

Amount after discount \[ = 55000 - \dfrac{5}{{100}} \times 55000\]

Simplifying the expression, we get

\[ \Rightarrow \] Amount after discount \[ = 55000 - 2750\]

Subtracting the terms, we get

\[ \Rightarrow \] Amount after discount \[ = {\rm{Rs}}.52250\]

Now it is given that after getting this discount if sales tax @ \[5\% \] is charged. So, now we will add the tax percentage to the amount after the discount. Therefore, we get

Final amount of the goods \[ = 52250 + \dfrac{5}{{100}} \times 52250\]

Simplify the expression, we get

\[ \Rightarrow \] Final amount of the goods \[ = 52250 + 2612.5\]

Adding the terms, we get

\[ \Rightarrow \] Final amount of the goods \[ = {\rm{Rs}}.54862.5\]

**Hence the final amount she will have to pay for the good is \[{\rm{Rs}}.54862.5\].**

**Note:**

Here we have to note that when there is a discount applied to some amount always the percentage of the amount is subtracted from the main amount. Whenever tax is applied or a profit percentage is applied to the amount then that percentage gets added to the main amount. Also in case of the interest on some amount its percentage amount always gets added to the main amount. Profit percentage is always applied on the cost price of the good.

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