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# Vinita buys goods worth Rs. 55000 she gets a discount of $5\%$ on it. After getting this discount if sales tax @ $5\%$ is charged, find the amount she will have to pay for the good.

Last updated date: 20th Jun 2024
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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 $= 52250 + 2612.5$
$\Rightarrow$ Final amount of the goods $= {\rm{Rs}}.54862.5$
Hence the final amount she will have to pay for the good is ${\rm{Rs}}.54862.5$.