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Shiva allows a discount of 20% on the marked price of an article. He gives an additional 40% off on the day of Diwali after the previous discount is applicable. If the total profit of the shopkeeper is 50% even after applying all the discounts, then find the marked price and cost price of the article sold on the day of Diwali for Rs. 8000.
1. Rs. 15,666.66 and Rs. 4373.12
2. Rs. 14,423.31 and Rs. 2425.33
3. Rs. 16,666.66 and Rs. 5333.33
4. Rs. 13,563.42 and Rs. 5542.54

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Correct Answer - Option 3 : Rs. 16,666.66 and Rs. 5333.33

Given 

Selling price of an article = Rs 8000 

Formula Used 

Marked price = Selling price/(100 - Discount%) × 100 

Cost price = selling price/(100 + profit%) × 100 

Calculation 

Let the marked price of an article be 100x 

Shiva selling price after 20% of discount = 100x - 20% of 100x = 80x 

After 40% more discount the selling price = 80x - 40% of 80x = 48x 

Shiva's profit = 50% 

So, Cost price of an article = (8000/150) × 100 = Rs 5333.33

Marked price of an article = (8000/48) × 100 = Rs 16666.66 

∴ The correct answer is Rs 16666.66 and  Rs 5333.33

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