To find the value of \( y \), we need to use the relationship between cost price (CP), selling price (SP), and profit percentage. Let's solve the given problem step by step.
We know that:
- The cost price of 540 items is equal to the selling price of \( y \) items.
- The profit made is 44%.
Let's denote:
- Cost Price per item = \( CP \)
- Selling Price per item = \( SP \)
Given that profit percentage is 44%, the selling price can be expressed as:
SP = CP + \frac{44}{100} \cdot CP = 1.44 \cdot CP
We have:
SP of \( y \) items = CP of 540 items
This means:
y \cdot SP = 540 \cdot CP \
Substituting SP from the profit formula:
y \cdot 1.44 \cdot CP = 540 \cdot CP \
Dividing both sides by \( CP \):
y \cdot 1.44 = 540 \
Solving for \( y \):
y = \frac{540}{1.44} \
Calculating the value of \( y \):
y = 375 \
Thus, the value of \( y \) is 375.
Therefore, the correct answer is Option: 375.
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Important Questions from Profit and Loss
Ram bought a chair at 35% discount on its market price, Had Ram got no discount, he would have had to pay ₹245 more. How much did Ram pay for the chair?
A shopkeeper bought an item for Rs. 4,500 and sold it at a loss of 5%. From this money, he bought another item and sold it at a profit of 10%. What is his overall profit?
A man sells two articles at Rs. 9,180 each. He gains 8% on one article and loses 15% on the other. His overall profit or loss is:
A shopkeeper selling an article for ₹46 loses 8%. In order to gain 6%, what should be the selling price of the article?
Rahul purchased 80 items from the market. 25% items of the total items were defective and the remaining items were sold at 50% profit. What will be the overall profit percentage?
