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An article is listed at Rs 65. A customer bought this article for Rs 56.16 and got two successive discounts of which one is 10%. Find the other discount of this discount scheme that was allowed by the shopkeeper.
  • a)
    4%                  
  • b)
    3%                  
  • c)
    6%                  
  • d)
    None of these   
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
An article is listed at Rs 65. A customer bought this article for Rs 5...
List price of the article = Rs 65 Selling price of the article = Rs 56.16 
∴ Discount =65-56.16= Rs 8. 84 
∴ Discount per cent = = 13.6 
The first discount of the given discount series is 10%. At the second discount of the series be m%. 
∴ Single discount per cent = ⇒136 ⇒ 13.6 = m + 10 −m/10
⇒ 136 = 100+10m − m ⇒ 9m = 36
∴ m = 4
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Most Upvoted Answer
An article is listed at Rs 65. A customer bought this article for Rs 5...
Given:

Listed price of the article = Rs 65

Customer bought the article for = Rs 56.16

One discount offered = 10%

To find:

The other discount offered

Solution:

Let the other discount be x%.

As per the question, the customer got two successive discounts.

Therefore, the selling price of the article after the first discount = 65 - (10% of 65) = Rs 58.50

Now, the customer got a second discount of x% on this selling price of Rs 58.50.

Therefore, the final selling price of the article after both discounts = 58.50 - (x% of 58.50)

But we know that the customer bought the article for Rs 56.16.

Therefore,

58.50 - (x% of 58.50) = 56.16

Solving this equation, we get

x% = 4%

Hence, the other discount offered by the shopkeeper was 4%.

Answer: Option (a) 4%.
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