Profit and Loss Calculation for Tomatoes

MathematicsProfit and LossMedium

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10. a) Mrs. Gurung bought 50 kg of tomatoes for Rs 1,900 from a tunnel farm and paid Rs 2 per kg for transporting it to her shop. She found that 10% of the tomatoes were damaged. She sold the remaining quantity for Rs 60 per kg. (i) What is the total cost price of tomatoes? (ii) How many kilograms of the tomatoes were damaged? (iii) Calculate her profit or loss percent in the total transaction.

This question includes visual content: The image includes a small, colored photograph of a blue plastic crate filled with ripe, red tomatoes positioned in the top right corner, above the text.

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Step 1

Hi Dharma, let's solve this profit and loss problem involving Mrs. Gurung's tomato business step by step.

Problem Overview


Total quantity: 50 kg

Purchase price: Rs 1,900

Transport cost: Rs 2 per kg

Damaged: 10%

Selling price: Rs 60 per kg

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Step 2

First, let's find the total cost price of the tomatoes. This includes the initial purchase price and the transportation costs.

(i) Total Cost Price (CP)

$$Purchase\ Price = Rs\ 1900$$
$$Transportation\ Cost = 50\ kg \times Rs\ 2/kg$$
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Step 3

The transportation cost for fifty kilograms at two rupees per kilogram is one hundred rupees.

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Step 4

Adding these together, the total cost price is nineteen hundred plus one hundred, which equals two thousand rupees.

$$Total\ CP = Rs\ 1900 + Rs\ 100 = Rs\ 2000$$
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Step 5

Now for the second part, we need to determine how many kilograms were damaged. The problem states that ten percent were damaged.

(ii) Damaged Quantity

$$Damaged\ Quantity = 10\% \text{ of } 50\ kg$$
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Step 6

We calculate ten percent of fifty by multiplying zero point one zero by fifty, which gives us five kilograms.

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Step 7

In the final part, we need to calculate the profit or loss percent. To do this, we first find the remaining quantity sold and the total sales revenue.

(iii) Profit or Loss Percent

$$Remaining\ Quantity = 50\ kg - 5\ kg = 45\ kg$$

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About This Question

Subject
Mathematics
Topic
Profit and Loss
Difficulty
Medium
Question Type
Open Ended

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