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.
Similar Questions
- P sells a Laptop to Q at a loss of 25% and Q sells the laptop to R at a profit of 20%. If R purchased the laptop for 22,500, then what was the cost (in ₹) of the laptop for P?
Two articles were sold for Rs.3,000 each, with no loss and profit in the entire transaction. If one was sold at a profit of 25%, then the loss incurred on the second article is _______.
- The profit earned after selling an article for ₹6,250 is the same as the loss incurred after selling the article for ₹3,750. Find the cost price of the article.
Shyam bought a chair for ₹1,563 and spent ₹350 on its repairing. He sold it for ₹2,398. Find his profit percentage (correct to two places of decimals).
- A chair is bought for ₹600 and sold for ₹750. Find the profit percentage.
- The difference between the cost price and the selling price of a table lamp is ₹540. If the profit is 30%, then the selling price (in) is:
- On selling 2800 school bags, Anita earns a profit equal to the sale price of 420 school bags. What is the gain percentage that Anita earned?
Note: round off to two decimal places - If the market price of a bedsheet is 24% above the cost price and a discount of 15% is declared on it, then find the gain percentage.
- Ram buys 13 balls for Rs.390 and sells them at the rate of Rs.33 per ball. Find his gain percentage.
- If the selling price of 10 chairs is the same as the cost price of 8 chairs, find the loss percentage.
Important Questions from Profit and Loss
Rohit buys 8 pens and 4 pencils for Rs. 2400. He sells pencils at a profit of 20 percent and pens at the loss of 10 percent. If his overall profit is Rs. 240, then what is the sum of the cost price of one pen and one pencil?
A man sells a car to his friend at the loss of 10 %; who in return sells it for Rs. 54000 making a profit of 20 %. What was the initial value of the car?
An article was sold at a loss of 24%. If it were sold for Rs. 1,596 more, then there would have been a gain of 18%, The cost price of the article is:
The cost price of an article is Rs.6,450. If it sold at a profit 16%, how much would be its selling price?
If the selling price of 7 articles is equal to the cost price of 6 articles, then what is the percentage loss?
