Question
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Tyori bought 200 kg of apples at the roth of \( ₹ 25 \) per kg she found that 50 kg of them were of smell size and sold them at the rate of \( ₹ 20 \) per kg she sold the remaining apples at \( ₹ 30 \) per kg find the overall profit or loss percerit of ryoti.

Ask by Hammond Harrington. in India
Jan 23,2025

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Tutor-Verified Answer

Answer

Ryoti made a 10% profit from selling the apples.

Solution

To determine Ryoti's overall profit or loss percentage from selling the apples, let's break down the problem step by step. ### **1. Calculate the Total Cost Price (CP):** Ryoti bought **200 kg** of apples at a rate of **₹25 per kg**. \[ \text{Total CP} = 200 \, \text{kg} \times ₹25/\text{kg} = ₹5,000 \] ### **2. Determine the Selling Price (SP) for Each Batch:** Ryoti categorized the apples into two groups: - **Small Size Apples:** - **Quantity:** 50 kg - **Selling Price:** ₹20 per kg - \[ \text{SP}_{\text{small}} = 50 \, \text{kg} \times ₹20/\text{kg} = ₹1,000 \] - **Remaining Apples:** - **Quantity:** 200 kg - 50 kg = **150 kg** - **Selling Price:** ₹30 per kg - \[ \text{SP}_{\text{remaining}} = 150 \, \text{kg} \times ₹30/\text{kg} = ₹4,500 \] ### **3. Calculate the Total Selling Price (Total SP):** \[ \text{Total SP} = ₹1,000 + ₹4,500 = ₹5,500 \] ### **4. Determine Profit or Loss:** \[ \text{Profit} = \text{Total SP} - \text{Total CP} = ₹5,500 - ₹5,000 = ₹500 \] Since the selling price is greater than the cost price, Ryoti made a **profit**. ### **5. Calculate the Profit Percentage:** \[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Total CP}} \right) \times 100 = \left( \frac{₹500}{₹5,000} \right) \times 100 = 10\% \] ### **Conclusion:** Ryoti made an **overall profit of 10%** from selling the apples.

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The Deep Dive

First, let’s break down the costs and revenue. Tyori spent \( 200 \, \text{kg} \times ₹ 25/\text{kg} = ₹ 5000 \) for the apples. She sold 50 kg at \( ₹ 20/\text{kg} \), earning \( 50 \times ₹ 20 = ₹ 1000 \). For the remaining 150 kg sold at \( ₹ 30/\text{kg} \), she made \( 150 \times ₹ 30 = ₹ 4500 \). So, her total revenue is \( ₹ 1000 + ₹ 4500 = ₹ 5500 \). Now, to find her profit: \( ₹ 5500 - ₹ 5000 = ₹ 500 \). To calculate the profit percentage, use the formula \( \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100 \). Plugging in the values: \( \left( \frac{500}{5000} \right) \times 100 = 10\% \). Tyori made an overall profit of 10%!

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