A discount of 20% is given on the marked price of an article. The shopkeeper charges sales tax of 8% on the discounted price. If the selling price be Rs 1836, what is the marked price of the article?a)Rs 2185b)Rs 2250c)Rs 3020d)Rs 2125e)None of theseCorrect answer is option 'D'. Can you explain this answer?

Question

Answer

Given:
Discount = 20%
Sales tax = 8%
Selling price = Rs 1836

To find:
Marked price of the article

Solution:

Let the marked price be M.

After a discount of 20%, the selling price becomes:

Selling price = Marked price - Discount

Rs 1836 = M - (20/100)*M

Rs 1836 = M*(80/100)

M = Rs 2295

Now, the shopkeeper charges a sales tax of 8% on the discounted price.

So, the selling price including sales tax is:

Selling price = Discounted price + Sales tax

Rs 1836 = (80/100)*M + (8/100)*[(80/100)*M]

Rs 1836 = (80/100)*M + (64/100)*M

Rs 1836 = (144/100)*M

M = Rs 1275

Therefore, the marked price of the article is Rs 2125.

Hence, option D is the correct answer.

Answer

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