Sure! Here's the extracted text: --- CAT 2024 Slot 1 - QA - Ratios Mixtures Averages A fruit seller has a total of 187 fruits consisting of apples, mangoes, and oranges. The number of apples and mangoes are in the ratio 5 : 2. After she sells 75 apples, 26 mangoes, and half of the oranges, the ratio of number of unsold apples to number of unsold oranges becomes 3 : 2. The total number of unsold fruits is. --- Let me know if you need any further assistance!

The question posed is about a fruit seller with a total of 187 fruits, consisting of apples, mangoes, and oranges, where the ratio of apples to mangoes is 5:2. After the seller sells part of the fruits, the problem revolves around figuring out the remaining unsold fruits. From the documents, here's how to break down the solution: 1. Initial Setup: - Total fruits = 187. - Let the number of apples = 5x and the number of mangoes = 2x. - Therefore, \( 5x + 2x + \text{Number of oranges} = 187 \). 2. Finding x: - The combined ratio of apples and mangoes leads to \( 7x + \text{Number of oranges} = 187 \). Hence, - If we let the number of oranges be represented by \( y \), then the equation is \( 7x + y = 187 \). 3. Sales Information: - The seller sells 75 apples and 26 mangoes. - The ratio of the number of unsold apples to unsold oranges becomes 3:2 after selling some fruits. 4. Remaining Fruits: - After selling, the unsold apples = \( 5x - 75 \). - The new ratio gives us the unsold oranges through the relationship set from the ratio condition. 5. Calculating Total Unsold Fruits: - By solving the equations given (from selling fruits and the ratios), - Use the derived ratios to connect the number of unsold apples and oranges, eventually leading to the total number of unsold fruits. In conclusion, detailed calculations based on the ratio and considering the total fruits help arrive at the correct answer. Specific calculations would require substituting values for \( x \) and ultimately finding specific fruit quantities【6:10†source】.