Solving a Mathematical Profit Loss Problem for SEO Benefits

Understanding profit loss calculations is a crucial aspect of business management, especially when managing inventories or pricing products. Let's explore a specific problem involving the selling of laddus and gain insight into calculating the necessary price to achieve a desired profit margin.

Problem Statement

A person sells 45 laddus for Rs. 40 and incurs a 20% loss. To find out how many laddus he should sell for Rs. 24 to gain a 20% profit, follow these steps:

Solution Approach

Following the steps to solve the problem, we can see a series of calculations that help us understand and find the solution.

Step 1: Calculate Cost Price (CP) of 45 Laddus

The selling price (SP) is Rs. 40, and the loss is 20%. Therefore, the cost price (CP) can be calculated as follows:

Let's denote CP of 45 laddus as X:

0.8X 45 × 40 So, X 2250

Now, to achieve a 20% profit, the selling price (SP) should be:

SP 2250 × 120/100 Rs. 2700 (for 45 laddus)

To gain a 20% profit, he should sell each laddu at:

SP per laddu 2700/45 Rs. 60

Step 2: Calculate Number of Laddus to Sell for Rs. 24

Given that he wants to sell for Rs. 24 and achieve a 20% profit, we can calculate the required number of laddus as follows:

He should sell 45 laddus at Rs. 60 to achieve a 20% profit per laddu, so for Rs. 24, the required number of laddus would be:

Number of laddus (24 × 45) / 60 18 laddus

Conclusion

The person should sell 18 laddus for Rs. 24 to achieve a 20% profit. This problem-solving approach is important in understanding the relationship between cost price, selling price, and profit/loss calculations.

Related Keywords and Concepts

The following are the closely related keywords and concepts:

Profit Loss Calculations - Understanding and solving problems related to profit and loss margins. Cost Price (CP) - The actual cost incurred to produce or purchase an item. Selling Price (SP) - The price at which an item is sold and can include profit or loss based on CP.

For more detailed information on these concepts and similar problems, consider revisiting basic mathematics and business mathematics textbooks.