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a dealer bought 80 cricket bats for₹50 each . he sold 10%of bats at the rate of ₹40 each and remaining bats at the rate of ₹50 each . find his loss percent
Verified Answer
a dealer bought 80 cricket bats for₹50 each . he sold 10%of bats at th...
Let required percentage profit = N%
According to the question,
10% of (80 x 50) = 5% of (20 x 50) + N% of (60 x 50)
⇒ (80 x 50 x 10)/100 = [(20 x 50 x 5)/100] + (60 x 50 x N)/100
⇒ 80 = 10 + 6N
⇒ N = 70/6 = 11^2/3%
This question is part of UPSC exam. View all Class 8 courses
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a dealer bought 80 cricket bats for₹50 each . he sold 10%of bats at th...
Given:
The dealer bought 80 cricket bats for ₹50 each.
To Find:
The loss percentage incurred by the dealer.
Solution:
Let's break down the problem step by step:
1. Cost Price (CP) of 80 cricket bats:
The dealer bought 80 cricket bats at ₹50 each. So, the total cost price (CP) of 80 bats is ₹50 x 80 = ₹4000.
2. Selling of 10% of the bats:
The dealer sold 10% of the bats at the rate of ₹40 each.
- Number of bats sold = 10% of 80 = (10/100) x 80 = 8 bats
- Selling price (SP) of each bat = ₹40
- Total selling price (SP) of 8 bats = ₹40 x 8 = ₹320
3. Selling of remaining bats:
The remaining bats (80 - 8 = 72) were sold at the rate of ₹50 each.
- Number of bats sold = Remaining bats = 72 bats
- Selling price (SP) of each bat = ₹50
- Total selling price (SP) of 72 bats = ₹50 x 72 = ₹3600
4. Total Selling Price (SP) of all bats:
The total selling price (SP) of all bats is the sum of the selling prices of the 10% sold bats and the remaining bats.
- Total selling price (SP) = ₹320 + ₹3600 = ₹3920
5. Loss Percentage:
To calculate the loss percentage, we need to find the loss first.
- Loss = Cost Price (CP) - Selling Price (SP)
- Loss = ₹4000 - ₹3920 = ₹80
Now, let's calculate the loss percentage.
- Loss percentage = (Loss / Cost Price) x 100
- Loss percentage = (₹80 / ₹4000) x 100 = 2%
Answer:
The dealer incurred a loss of 2%.
The dealer bought 80 cricket bats for ₹50 each.
To Find:
The loss percentage incurred by the dealer.
Solution:
Let's break down the problem step by step:
1. Cost Price (CP) of 80 cricket bats:
The dealer bought 80 cricket bats at ₹50 each. So, the total cost price (CP) of 80 bats is ₹50 x 80 = ₹4000.
2. Selling of 10% of the bats:
The dealer sold 10% of the bats at the rate of ₹40 each.
- Number of bats sold = 10% of 80 = (10/100) x 80 = 8 bats
- Selling price (SP) of each bat = ₹40
- Total selling price (SP) of 8 bats = ₹40 x 8 = ₹320
3. Selling of remaining bats:
The remaining bats (80 - 8 = 72) were sold at the rate of ₹50 each.
- Number of bats sold = Remaining bats = 72 bats
- Selling price (SP) of each bat = ₹50
- Total selling price (SP) of 72 bats = ₹50 x 72 = ₹3600
4. Total Selling Price (SP) of all bats:
The total selling price (SP) of all bats is the sum of the selling prices of the 10% sold bats and the remaining bats.
- Total selling price (SP) = ₹320 + ₹3600 = ₹3920
5. Loss Percentage:
To calculate the loss percentage, we need to find the loss first.
- Loss = Cost Price (CP) - Selling Price (SP)
- Loss = ₹4000 - ₹3920 = ₹80
Now, let's calculate the loss percentage.
- Loss percentage = (Loss / Cost Price) x 100
- Loss percentage = (₹80 / ₹4000) x 100 = 2%
Answer:
The dealer incurred a loss of 2%.
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a dealer bought 80 cricket bats for₹50 each . he sold 10%of bats at the rate of ₹40 each and remaining bats at the rate of ₹50 each . find his loss percent
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a dealer bought 80 cricket bats for₹50 each . he sold 10%of bats at the rate of ₹40 each and remaining bats at the rate of ₹50 each . find his loss percent for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about a dealer bought 80 cricket bats for₹50 each . he sold 10%of bats at the rate of ₹40 each and remaining bats at the rate of ₹50 each . find his loss percent covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for a dealer bought 80 cricket bats for₹50 each . he sold 10%of bats at the rate of ₹40 each and remaining bats at the rate of ₹50 each . find his loss percent.
a dealer bought 80 cricket bats for₹50 each . he sold 10%of bats at the rate of ₹40 each and remaining bats at the rate of ₹50 each . find his loss percent for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about a dealer bought 80 cricket bats for₹50 each . he sold 10%of bats at the rate of ₹40 each and remaining bats at the rate of ₹50 each . find his loss percent covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for a dealer bought 80 cricket bats for₹50 each . he sold 10%of bats at the rate of ₹40 each and remaining bats at the rate of ₹50 each . find his loss percent.
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