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An article has marked price of Rs. 8000 and is available at a discount of 20%. The shopkeeper gives another discount to the buyer and sells the article for Rs. 5440. What is the second discount (in %) offered?
  • a)
    15
  • b)
    20
  • c)
    25
  • d)
    30
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
An article has marked price of Rs. 8000 and is available at a discount...
Given,
MP of an article = 8000
First discount% = 20%
Then, SP = MP - Discount
SP = 8000(1 - 20/100) = 8000 × 80/100 = 6400
After giving 2nd discount%, SP = 5440
⇒ 6400 - 6400 × d% = 5440
⇒ 6400(1 - d/100) = 5440
⇒ 100 - d = 5440 × 100/6400 = 85
⇒ d = 100 - 85 = 15%
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Most Upvoted Answer
An article has marked price of Rs. 8000 and is available at a discount...
Given Data:
Original price of the article = Rs. 8000
First discount offered = 20%
Price at which article was sold after the first discount = Rs. 5440

Calculation:
Let the second discount offered be x%.
After the first discount of 20%, the price becomes:
8000 - (20% of 8000) = 8000 - 1600 = Rs. 6400
Now, after the second discount of x%, the price becomes:
6400 - (x% of 6400) = 5440
Solving the above equation:
6400 - (0.01x * 6400) = 5440
6400 - 64x = 5440
64x = 960
x = 960 / 64
x = 15

Conclusion:
Therefore, the second discount offered by the shopkeeper is 15%.
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An article has marked price of Rs. 8000 and is available at a discount of 20%. The shopkeeper gives another discount to the buyer and sells the article for Rs. 5440. What is the second discount (in %) offered?a)15b)20c)25d)30Correct answer is option 'A'. Can you explain this answer?
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