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The marked price of an article is Rs. 950. A shopkeeper gives a discount of 10% and still makes a profit of 80%. What is the cost price (in Rs.) of the article?
  • a)
    425
  • b)
    450
  • c)
    400
  • d)
    475
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The marked price of an article is Rs. 950. A shopkeeper gives a disco...
Marked price of the article = 950
Discount = 10%
Discounted price = Marked price × (90/100)
Discounted price = 950 × 90/100 = 855
Still he makes 80% profit on the discounted price
So, cost price will be = 855 × 100/180 = 475
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Community Answer
The marked price of an article is Rs. 950. A shopkeeper gives a disco...

Given Information:
- Marked price of the article = Rs. 950
- Shopkeeper gives a discount of 10%
- Shopkeeper makes a profit of 80%

Calculating Selling Price (SP):
- Discount given = 10% of Rs. 950 = 0.1 x 950 = Rs. 95
- Selling price after discount = Rs. 950 - Rs. 95 = Rs. 855

Calculating Cost Price (CP):
Let the cost price be Rs. x.
- Profit percentage = 80%
- Profit = 80% of CP = 0.8x
- Selling price = Cost price + Profit
- Rs. 855 = x + 0.8x
- Rs. 855 = 1.8x
- x = Rs. 855 / 1.8
- x = Rs. 475

Therefore, the cost price of the article is Rs. 475.
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The marked price of an article is Rs. 950. A shopkeeper gives a discount of 10% and still makes a profit of 80%. What is the cost price (in Rs.) of the article?a)425b)450c)400d)475Correct answer is option 'D'. Can you explain this answer?
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