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?
- A6000
- B4500
- C3000
- D7500
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.
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.