Question
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b) Mr. Bohara purchased 2 quintals of organic apples at Jumla for Rs 17,000 and paid Rs 15 per kg in transportation from Jumla to Nepalgunj. He found that \( \frac{1}{20} \) of the quantity of apples were damaged. He sold the remaining quantity at Rs 120 per kg . (i) What is the total cost price of apples? (ii) How many kilograms of apples were damaged? (iii) Calculate his profit or loss percent in the total transaction. ive Section - B

Ask by Mullins Kirk. in Nepal
Jan 21,2025

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Tutor-Verified Answer

Answer

- **Total Cost Price:** Rs 20,000 - **Damaged Quantity:** 10 kg - **Profit Percentage:** 14%

Solution

Let's solve each part of the problem step by step. ### Given: - **Quantity Purchased:** 2 quintals = 200 kg (since 1 quintal = 100 kg) - **Cost Price (CP) of Apples:** Rs 17,000 - **Transportation Cost:** Rs 15 per kg - **Damaged Quantity:** \( \frac{1}{20} \) of total quantity - **Selling Price (SP) per kg:** Rs 120 --- ### (i) **Total Cost Price of Apples** **Total Transportation Cost:** \[ \text{Transportation Cost} = \text{Cost per kg} \times \text{Quantity} = 15 \times 200 = \text{Rs } 3,000 \] **Total Cost Price:** \[ \text{Total CP} = \text{Cost of Apples} + \text{Transportation Cost} = 17,000 + 3,000 = \text{Rs } 20,000 \] **Answer:** The total cost price of the apples is **Rs 20,000**. --- ### (ii) **Kilograms of Apples Damaged** \[ \text{Damaged Quantity} = \frac{1}{20} \times 200 = 10 \text{ kg} \] **Answer:** **10 kilograms** of apples were damaged. --- ### (iii) **Profit or Loss Percentage** **Quantity Sold:** \[ \text{Sold Quantity} = \text{Total Quantity} - \text{Damaged Quantity} = 200 - 10 = 190 \text{ kg} \] **Total Selling Price:** \[ \text{Total SP} = \text{SP per kg} \times \text{Sold Quantity} = 120 \times 190 = \text{Rs } 22,800 \] **Profit:** \[ \text{Profit} = \text{Total SP} - \text{Total CP} = 22,800 - 20,000 = \text{Rs } 2,800 \] **Profit Percentage:** \[ \text{Profit \%} = \left( \frac{\text{Profit}}{\text{Total CP}} \right) \times 100 = \left( \frac{2,800}{20,000} \right) \times 100 = 14\% \] **Answer:** He made a **14% profit** on the total transaction. --- ### **Summary of Answers:** 1. **Total Cost Price:** Rs 20,000 2. **Damaged Quantity:** 10 kg 3. **Profit Percentage:** 14 %

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Bonus Knowledge

Mr. Bohara's journey into the apple business is not just about economics; it’s packed with the thrilling saga of supply and demand! He meticulously calculated costs and found that the 2 quintals (or 200 kg) of organic apples set him back by Rs 17,000, alongside an additional cost of Rs 15 per kg for transport, amounting to Rs 3,000. With a grand total cost of Rs 20,000, he got quite the crunchy deal until he had to account for damage to his harvest. When it comes to the damaged apples, Mr. Bohara discovered that \( \frac{1}{20} \) of 200 kg equals 10 kg of apples gone bad. This means he’s left with 190 kg to sell at a sweet price of Rs 120 per kg, netting him Rs 22,800. Breaking down his total investment of Rs 20,000, he earned a profit of Rs 2,800, giving him a profit percentage of 14%. Who knew apple trading could be so fruitful? 🍏

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