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To clear a stock of items, a seller gives an 8% discount on the marked price. He spends ₹x on the promotion of the discount offer. His total cost of the items is ₹2,50,000 and the marked price is 10% more than the cost price. Finally, he earns no profit or no loss. What is the value of x?

  1. A
    6000
  2. B
    4500
  3. C
    3000
  4. D
    7500

Solution & Step-by-step Explanation

Given:
Cost Price (CP) = ₹2,50,000
Marked Price (MP) is 10% more than the CP:

MP=2,50,000×(1+
100
10

)=2,50,000×1.1=₹2,75,000
The seller gives an 8% discount on the marked price:

Discount=8% of 2,75,000=
100
8

×2,75,000=₹22,000
Selling Price (SP)=MP−Discount=2,75,000−22,000=₹2,53,000
The seller spends ₹x on promotion.
Since there is no profit and no loss, the net revenue equals the total expenditure:

SP=CP+x
2,53,000=2,50,000+x
x=2,53,000−2,50,000=3,000
Therefore, the value of x is 3000.

Practice this question

Try it yourself before checking the explanation above.

To clear a stock of items, a seller gives an 8% discount on the marked price. He spends ₹x on the promotion of the discount offer. His total cost of the items is ₹2,50,000 and the marked price is 10% more than the cost price. Finally, he earns no profit or no loss. What is the value of x?
A
6000
B
4500
C
3000
D
7500

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