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A dishonest shopkeeper cheats 20%at time of buying goods and 40% cheating at the time of selling goods.he promises to sell his goods at 10% loss. find his profit percentage? by shortcut method?
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A dishonest shopkeeper cheats 20%at time of buying goods and 40% cheat...
**Solution:**
To find the profit percentage of the dishonest shopkeeper, we need to consider the buying and selling prices of the goods.
Let's assume the cost price (CP) of the goods is 100.
**Step 1: Cheating at the time of buying goods (20%)**
The dishonest shopkeeper cheats 20% at the time of buying goods. This means he actually pays only 80% of the cost price.
So, the cost price after cheating at the time of buying = CP - (20/100) * CP = 80
**Step 2: Cheating at the time of selling goods (40%)**
The dishonest shopkeeper cheats 40% at the time of selling goods. This means he actually sells the goods at 60% of the cost price after cheating.
So, the selling price after cheating at the time of selling = (60/100) * CP = 60
**Step 3: Promise to sell at a 10% loss**
The dishonest shopkeeper promises to sell his goods at a 10% loss. This means he sells the goods at 90% of the cost price.
So, the selling price after the promised loss = (90/100) * CP = 90
**Step 4: Calculation of profit percentage**
Profit percentage can be calculated using the formula:
Profit Percentage = (Profit / Cost Price) * 100
Here, the profit is the difference between the selling price after the promised loss and the cost price after cheating at the time of buying.
Profit = Selling Price after the promised loss - Cost Price after cheating at the time of buying
= 90 - 80
= 10
Profit Percentage = (10 / 80) * 100
= 12.5%
Therefore, the dishonest shopkeeper's profit percentage is 12.5%.
Shortcut Method:
To find the profit percentage using a shortcut method, we can directly use the formula:
Profit Percentage = (Cheating Percentage / (100 - Cheating Percentage)) * 100
In this case, the cheating percentage at the time of buying is 20% and the cheating percentage at the time of selling is 40%.
Profit Percentage = (20 / (100 - 20)) * (40 / (100 - 40)) * 100
= (20 / 80) * (40 / 60) * 100
= (1 / 4) * (2 / 3) * 100
= 12.5%
So, using the shortcut method, we also get the profit percentage as 12.5%, which matches the previous calculation.
Therefore, the dishonest shopkeeper's profit percentage is 12.5%.
To find the profit percentage of the dishonest shopkeeper, we need to consider the buying and selling prices of the goods.
Let's assume the cost price (CP) of the goods is 100.
**Step 1: Cheating at the time of buying goods (20%)**
The dishonest shopkeeper cheats 20% at the time of buying goods. This means he actually pays only 80% of the cost price.
So, the cost price after cheating at the time of buying = CP - (20/100) * CP = 80
**Step 2: Cheating at the time of selling goods (40%)**
The dishonest shopkeeper cheats 40% at the time of selling goods. This means he actually sells the goods at 60% of the cost price after cheating.
So, the selling price after cheating at the time of selling = (60/100) * CP = 60
**Step 3: Promise to sell at a 10% loss**
The dishonest shopkeeper promises to sell his goods at a 10% loss. This means he sells the goods at 90% of the cost price.
So, the selling price after the promised loss = (90/100) * CP = 90
**Step 4: Calculation of profit percentage**
Profit percentage can be calculated using the formula:
Profit Percentage = (Profit / Cost Price) * 100
Here, the profit is the difference between the selling price after the promised loss and the cost price after cheating at the time of buying.
Profit = Selling Price after the promised loss - Cost Price after cheating at the time of buying
= 90 - 80
= 10
Profit Percentage = (10 / 80) * 100
= 12.5%
Therefore, the dishonest shopkeeper's profit percentage is 12.5%.
Shortcut Method:
To find the profit percentage using a shortcut method, we can directly use the formula:
Profit Percentage = (Cheating Percentage / (100 - Cheating Percentage)) * 100
In this case, the cheating percentage at the time of buying is 20% and the cheating percentage at the time of selling is 40%.
Profit Percentage = (20 / (100 - 20)) * (40 / (100 - 40)) * 100
= (20 / 80) * (40 / 60) * 100
= (1 / 4) * (2 / 3) * 100
= 12.5%
So, using the shortcut method, we also get the profit percentage as 12.5%, which matches the previous calculation.
Therefore, the dishonest shopkeeper's profit percentage is 12.5%.
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A dishonest shopkeeper cheats 20%at time of buying goods and 40% cheating at the time of selling goods.he promises to sell his goods at 10% loss. find his profit percentage? by shortcut method?
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A dishonest shopkeeper cheats 20%at time of buying goods and 40% cheating at the time of selling goods.he promises to sell his goods at 10% loss. find his profit percentage? by shortcut method? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A dishonest shopkeeper cheats 20%at time of buying goods and 40% cheating at the time of selling goods.he promises to sell his goods at 10% loss. find his profit percentage? by shortcut method? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A dishonest shopkeeper cheats 20%at time of buying goods and 40% cheating at the time of selling goods.he promises to sell his goods at 10% loss. find his profit percentage? by shortcut method?.
A dishonest shopkeeper cheats 20%at time of buying goods and 40% cheating at the time of selling goods.he promises to sell his goods at 10% loss. find his profit percentage? by shortcut method? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about A dishonest shopkeeper cheats 20%at time of buying goods and 40% cheating at the time of selling goods.he promises to sell his goods at 10% loss. find his profit percentage? by shortcut method? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A dishonest shopkeeper cheats 20%at time of buying goods and 40% cheating at the time of selling goods.he promises to sell his goods at 10% loss. find his profit percentage? by shortcut method?.
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