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Question

# A shopkeeper gives 10% discount on a TV set whose list price is Rs. 16,500. Find the amount which a customer has to pay for buying the TV set if the rate of GST is 18%.

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Solution

## Step 1: Given terms:The list price of TV Set $=\mathrm{Rs}.16,500$Discount$=10%$Rate of GST$=18%$Step 2: Calculate the GST amount:Since, the shopkeeper gives a $10%$discount on a TV set whose list price is $\mathrm{Rs}.16,500$.Cost price for the customer is computed as:$\mathrm{C}.\mathrm{P}=16,500-\left(\frac{10}{100}×16,500\right)\phantom{\rule{0ex}{0ex}}⇒\mathrm{C}.\mathrm{P}=16,500-1,650\phantom{\rule{0ex}{0ex}}⇒\mathrm{C}.\mathrm{P}=\mathrm{Rs}.14,850$GST on $\mathrm{Rs}.14,850$ at the rate of$18%$ computed as: $\begin{array}{rcl}\mathrm{GST}& =& 14,850×\frac{18}{100}\\ \therefore \mathrm{GST}& =& \mathrm{Rs}.2,673\end{array}$Step 3: The amount to be paid by the customer:$\begin{array}{rcl}\mathrm{Amount}& =& 14,850+2,673\\ \therefore \mathrm{Amount}& =& \mathrm{Rs}.17,523\end{array}$Hence, the customer has to pay$\mathrm{Rs}.17,523$ for buying the TV set.

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