
A shopkeeper sells an article to the customer at the printed price of Rs. 2,500 and he adds sales tax of 8% to the printed price. The price paid by the customer is
(a) Rs. 2,700
(b) Rs. 2,800
(c) Rs. 2,900
(d) Rs. 3,000
Answer
557.7k+ views
Hint: We will be using the concept of sales tax and percentage to tackle this question. Sales tax is the amount paid by the customer above the printed price.
Complete step-by-step answer:
Before proceeding with the question we should understand the concept of printed price and sales tax.
The amount of money paid by a customer for an article equals the printed price (sales price) of the article + sales Tax on it.
So the printed price of the article \[=2500\].
And sales tax on the article \[=8%\]
So the price paid by the customer will be the printed price of the article plus sales tax on the printed price. So the price paid will be 2500+8% of 2500.
\[\Rightarrow 2500+8%\,of\,2500........(1)\]
Now we know that ‘’of’’ means multiplication in equation (1) and 8% will change into 8 divided by 100. So using this information we get,
\[\Rightarrow 2500+\dfrac{8}{100}\times \,2500........(2)\]
Now cancelling similar terms and rearranging in equation (2) we get,
\[\Rightarrow 2500+8\times \,25........(3)\]
Now multiplying and adding all the terms in equation (3) we get,
\[\Rightarrow 2500+200=2700\]
So the price paid by the customer is Rs. 2700. Hence the correct answer is option (a).
Note: Remembering the concept of sales tax and printed price is the key here else we may think that sales tax is paid by the shopkeeper to the government and in a hurry we may deduct sales tax from printed price. Hence conceptual clarity is the basis for solving these types of questions.
Complete step-by-step answer:
Before proceeding with the question we should understand the concept of printed price and sales tax.
The amount of money paid by a customer for an article equals the printed price (sales price) of the article + sales Tax on it.
So the printed price of the article \[=2500\].
And sales tax on the article \[=8%\]
So the price paid by the customer will be the printed price of the article plus sales tax on the printed price. So the price paid will be 2500+8% of 2500.
\[\Rightarrow 2500+8%\,of\,2500........(1)\]
Now we know that ‘’of’’ means multiplication in equation (1) and 8% will change into 8 divided by 100. So using this information we get,
\[\Rightarrow 2500+\dfrac{8}{100}\times \,2500........(2)\]
Now cancelling similar terms and rearranging in equation (2) we get,
\[\Rightarrow 2500+8\times \,25........(3)\]
Now multiplying and adding all the terms in equation (3) we get,
\[\Rightarrow 2500+200=2700\]
So the price paid by the customer is Rs. 2700. Hence the correct answer is option (a).
Note: Remembering the concept of sales tax and printed price is the key here else we may think that sales tax is paid by the shopkeeper to the government and in a hurry we may deduct sales tax from printed price. Hence conceptual clarity is the basis for solving these types of questions.
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