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The marked price of an article is twice the cost price. For a gain of 10%, what should be the discount percentage?
  • a)
    45
  • b)
    55
  • c)
    50
  • d)
    60
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The marked price of an article is twice the cost price. For a gain of ...
Let the CP of an article be x
MP of article be 2x
Gain % = (SP - CP)/CP × 100
10 = (SP - x)/x × 100
SP = 1.1x
Discount % = (MP - SP)/MP × 100 = 0.9x/2x × 100 = 45%
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Most Upvoted Answer
The marked price of an article is twice the cost price. For a gain of ...
Given:
Marked price = 2 * Cost price
Gain = 10%

To find:
Discount percentage

Solution:
Let the cost price of the article be Rs. 100.
Then, the marked price will be Rs. 200.
A 10% gain on the cost price of Rs. 100 is Rs. 10.
So, the selling price of the article will be Rs. 110.

Now, let's assume a discount of x% is given on the marked price of Rs. 200.
So, the selling price after discount will be (200 - x)% of 200 = (200 - x)/100 * 200.
Since we want the selling price after discount to be Rs. 110, we can equate the two:
(200 - x)/100 * 200 = 110
Simplifying this equation, we get:
x = 45.

Therefore, the discount percentage required to get a gain of 10% when the marked price is twice the cost price is 45%.
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Community Answer
The marked price of an article is twice the cost price. For a gain of ...
Let the CP of an article be x
MP of article be 2x
Gain % = (SP - CP)/CP × 100
10 = (SP - x)/x × 100
SP = 1.1x
Discount % = (MP - SP)/MP × 100 = 0.9x/2x × 100 = 45%
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The marked price of an article is twice the cost price. For a gain of 10%, what should be the discount percentage?a)45b)55c)50d)60Correct answer is option 'A'. Can you explain this answer?
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