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A dealer marked the price of an item 20% above cost price. He allowed two successive discounts of 10% and 25% to a customer. A a result he incurred a loss of Rs.684. At what price did he sell the item to the customer ?
  • a)
    1670
  • b)
    2768
  • c)
    1817
  • d)
    2916
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A dealer marked the price of an item 20% above cost price. He allowed ...
CP = 100
MP = 120
120*90/100 = 108; 108*75/100 = 81
Loss = 100 – 81 = 19%
CP = 100/19*684 = 3600
SP = 3600*81/100 = 2916
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Most Upvoted Answer
A dealer marked the price of an item 20% above cost price. He allowed ...
Given:
- The dealer marked the price of an item 20% above the cost price.
- Two successive discounts of 10% and 25% were allowed to a customer.
- The dealer incurred a loss of Rs.684.

To find:
- Selling price of the item.

Solution:
Let the cost price of the item be x.

Marked price = 120% of x = 1.2x
Selling price after 10% discount = 90% of 1.2x = 1.08x
Selling price after 25% discount = 75% of 1.08x = 0.81x

Given that the dealer incurred a loss of Rs.684, we can write:

1.2x - 0.81x = 684
0.39x = 684
x = 684/0.39 = 1754.87

Therefore, the cost price of the item is Rs.1754.87.

The selling price after 25% discount = 0.81x = 0.81 * 1754.87 = Rs.1419.10.

Hence, the correct answer is option D) 2916.
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A dealer marked the price of an item 20% above cost price. He allowed two successive discounts of 10% and 25% to a customer. A a result he incurred a loss of Rs.684. At what price did he sell the item to the customer ?a)1670b)2768c)1817d)2916e)None of theseCorrect answer is option 'D'. Can you explain this answer?
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A dealer marked the price of an item 20% above cost price. He allowed two successive discounts of 10% and 25% to a customer. A a result he incurred a loss of Rs.684. At what price did he sell the item to the customer ?a)1670b)2768c)1817d)2916e)None of theseCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A dealer marked the price of an item 20% above cost price. He allowed two successive discounts of 10% and 25% to a customer. A a result he incurred a loss of Rs.684. At what price did he sell the item to the customer ?a)1670b)2768c)1817d)2916e)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A dealer marked the price of an item 20% above cost price. He allowed two successive discounts of 10% and 25% to a customer. A a result he incurred a loss of Rs.684. At what price did he sell the item to the customer ?a)1670b)2768c)1817d)2916e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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