Profit and Loss Calculation Problem

MathematicsProfit and LossMedium

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Question

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.

Animated Video Solution

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Step by Step Written Solution

1
Step 1

Hi Dharma, let's solve this together. Let's first read the problem and write down the given information about the apples purchased.

Apple Transaction Problem

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Step 2

First, let's note that one quintal is equal to one hundred kilograms.

$$1\text{ quintal} = 100\text{ kg}$$
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Step 3

So, the total quantity of apples purchased is two quintals, which is two times one hundred, or two hundred kilograms.

$$\text{Total Quantity} = 2 \times 100\text{ kg} = 200\text{ kg}$$
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Step 4

Let's find the total cost price of the apples. We are given the purchase price as seventeen thousand rupees, and a transportation cost of fifteen rupees per kilogram.

Part (i): Total Cost Price

$$\text{Transportation Cost} = 200\text{ kg} \times \text{Rs } 15/\text{kg}$$
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Step 5

Two hundred multiplied by fifteen gives us a transportation cost of three thousand rupees.

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Step 6

The total cost price is the sum of the purchase price and the transportation cost.

$$\text{Total Cost Price (CP)} = \text{Purchase Price} + \text{Transportation Cost}$$
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Step 7

Substituting the values, we have seventeen thousand plus three thousand.

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Step 8

This gives us a total cost price of twenty thousand rupees.

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Step 9

Next, let's solve part two. We need to find how many kilograms of apples were damaged. We are told that one-twentieth of the total quantity was damaged.

Part (ii): Damaged Apples

$$\text{Damaged Quantity} = \frac{1}{20} \times \text{Total Quantity}$$
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Step 10

Substituting two hundred kilograms for the total quantity, we get one-twentieth times two hundred.

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Step 11

Two hundred divided by twenty is ten, so ten kilograms of apples were damaged.

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About This Question

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

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