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A shopkeeper has 5 dozens of apples. On selling 12 apples for Rs.600, he incurs a loss equal to the cost price of 2 apples. At what total price should he mark the remaining 4 dozens so that even after giving 20% discount, he would have an overall gain of 10%?
Correct answer is '4200'. Can you explain this answer?
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A shopkeeper has 5 dozens of apples. On selling 12 apples for Rs.600, ...
CP = SP + loss
So, CP of 12 apples = SP of 12 apples+ CP of 2 apples
⇒ CP of 10 apples = SP of 12 apples
SP of 12 apples = Rs.600
⇒ CP of 10 apples = Rs.600
CP of 1 apple = Rs. 60
Total CP = Rs. (5 * 12 * 60) = Rs. 3600
Required overall gain = 10%
Required total SP = Rs. 3600 + 10% of Rs. 3600 = Rs. 3960
Remaining apples = 4 dozens
Required SP for 4 dozens = Rs. (3960 - 600) = Rs.3360
According to the question,
MP - 20% of MP = Rs. 3360
Or, MP = Rs. 4200
Hence, 4200 is the correct answer.
So, CP of 12 apples = SP of 12 apples+ CP of 2 apples
⇒ CP of 10 apples = SP of 12 apples
SP of 12 apples = Rs.600
⇒ CP of 10 apples = Rs.600
CP of 1 apple = Rs. 60
Total CP = Rs. (5 * 12 * 60) = Rs. 3600
Required overall gain = 10%
Required total SP = Rs. 3600 + 10% of Rs. 3600 = Rs. 3960
Remaining apples = 4 dozens
Required SP for 4 dozens = Rs. (3960 - 600) = Rs.3360
According to the question,
MP - 20% of MP = Rs. 3360
Or, MP = Rs. 4200
Hence, 4200 is the correct answer.
Most Upvoted Answer
A shopkeeper has 5 dozens of apples. On selling 12 apples for Rs.600, ...
Given:
- The shopkeeper has 5 dozens of apples, which means he has 5 x 12 = 60 apples in total.
- When he sells 12 apples for Rs.600, he incurs a loss equal to the cost price of 2 apples.
To Find:
- The total price at which he should mark the remaining 4 dozens of apples so that even after giving a 20% discount, he would have an overall gain of 10%.
Assumptions:
- The cost price of each apple is the same.
- The selling price of each apple is the same.
- The discount is applied to the selling price.
Solution:
Let's break down the problem into steps:
Step 1: Calculate the cost price of each apple:
- The loss incurred on selling 12 apples is equal to the cost price of 2 apples.
- Therefore, the loss per apple is Rs.600 / 12 = Rs.50.
- The cost price of each apple is Rs.50.
Step 2: Calculate the selling price of each apple:
- The selling price of each apple is the same as the cost price since there is no profit or loss on selling the remaining apples.
- The selling price of each apple is Rs.50.
Step 3: Calculate the total cost price of the remaining 4 dozens of apples:
- The total cost price of 4 dozens of apples is 4 x 12 x Rs.50 = Rs.2400.
Step 4: Calculate the total selling price of the remaining 4 dozens of apples:
- The total selling price of the remaining 4 dozens of apples, before discount, is 4 x 12 x Rs.50 = Rs.2400.
Step 5: Calculate the overall gain required:
- The overall gain required is 10% of the cost price, which is 10% of Rs.2400 = Rs.240.
Step 6: Calculate the discounted selling price of the remaining 4 dozens of apples:
- The discounted selling price is 80% of the original selling price since a 20% discount is applied.
- 80% of Rs.2400 = Rs.1920.
Step 7: Calculate the marked price of the remaining 4 dozens of apples:
- The marked price should be such that after giving a 20% discount, the selling price is Rs.1920 and the overall gain is Rs.240.
- Let the marked price be Rs.X.
- After a 20% discount, the selling price becomes 80% of Rs.X, which is 0.8X.
- We can set up the equation: 0.8X = Rs.1920 + Rs.240.
- Solving the equation, we get X = Rs.2400.
Therefore, the shopkeeper should mark the remaining 4 dozens of apples at a total price of Rs.2400 so that even after giving a 20% discount, he would have an overall gain of 10%.
- The shopkeeper has 5 dozens of apples, which means he has 5 x 12 = 60 apples in total.
- When he sells 12 apples for Rs.600, he incurs a loss equal to the cost price of 2 apples.
To Find:
- The total price at which he should mark the remaining 4 dozens of apples so that even after giving a 20% discount, he would have an overall gain of 10%.
Assumptions:
- The cost price of each apple is the same.
- The selling price of each apple is the same.
- The discount is applied to the selling price.
Solution:
Let's break down the problem into steps:
Step 1: Calculate the cost price of each apple:
- The loss incurred on selling 12 apples is equal to the cost price of 2 apples.
- Therefore, the loss per apple is Rs.600 / 12 = Rs.50.
- The cost price of each apple is Rs.50.
Step 2: Calculate the selling price of each apple:
- The selling price of each apple is the same as the cost price since there is no profit or loss on selling the remaining apples.
- The selling price of each apple is Rs.50.
Step 3: Calculate the total cost price of the remaining 4 dozens of apples:
- The total cost price of 4 dozens of apples is 4 x 12 x Rs.50 = Rs.2400.
Step 4: Calculate the total selling price of the remaining 4 dozens of apples:
- The total selling price of the remaining 4 dozens of apples, before discount, is 4 x 12 x Rs.50 = Rs.2400.
Step 5: Calculate the overall gain required:
- The overall gain required is 10% of the cost price, which is 10% of Rs.2400 = Rs.240.
Step 6: Calculate the discounted selling price of the remaining 4 dozens of apples:
- The discounted selling price is 80% of the original selling price since a 20% discount is applied.
- 80% of Rs.2400 = Rs.1920.
Step 7: Calculate the marked price of the remaining 4 dozens of apples:
- The marked price should be such that after giving a 20% discount, the selling price is Rs.1920 and the overall gain is Rs.240.
- Let the marked price be Rs.X.
- After a 20% discount, the selling price becomes 80% of Rs.X, which is 0.8X.
- We can set up the equation: 0.8X = Rs.1920 + Rs.240.
- Solving the equation, we get X = Rs.2400.
Therefore, the shopkeeper should mark the remaining 4 dozens of apples at a total price of Rs.2400 so that even after giving a 20% discount, he would have an overall gain of 10%.
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A shopkeeper has 5 dozens of apples. On selling 12 apples for Rs.600, he incurs a loss equal to the cost price of 2 apples. At what total price should he mark the remaining 4 dozens so that even after giving 20% discount, he would have an overall gain of 10%?Correct answer is '4200'. Can you explain this answer?
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A shopkeeper has 5 dozens of apples. On selling 12 apples for Rs.600, he incurs a loss equal to the cost price of 2 apples. At what total price should he mark the remaining 4 dozens so that even after giving 20% discount, he would have an overall gain of 10%?Correct answer is '4200'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A shopkeeper has 5 dozens of apples. On selling 12 apples for Rs.600, he incurs a loss equal to the cost price of 2 apples. At what total price should he mark the remaining 4 dozens so that even after giving 20% discount, he would have an overall gain of 10%?Correct answer is '4200'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper has 5 dozens of apples. On selling 12 apples for Rs.600, he incurs a loss equal to the cost price of 2 apples. At what total price should he mark the remaining 4 dozens so that even after giving 20% discount, he would have an overall gain of 10%?Correct answer is '4200'. Can you explain this answer?.
A shopkeeper has 5 dozens of apples. On selling 12 apples for Rs.600, he incurs a loss equal to the cost price of 2 apples. At what total price should he mark the remaining 4 dozens so that even after giving 20% discount, he would have an overall gain of 10%?Correct answer is '4200'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A shopkeeper has 5 dozens of apples. On selling 12 apples for Rs.600, he incurs a loss equal to the cost price of 2 apples. At what total price should he mark the remaining 4 dozens so that even after giving 20% discount, he would have an overall gain of 10%?Correct answer is '4200'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A shopkeeper has 5 dozens of apples. On selling 12 apples for Rs.600, he incurs a loss equal to the cost price of 2 apples. At what total price should he mark the remaining 4 dozens so that even after giving 20% discount, he would have an overall gain of 10%?Correct answer is '4200'. Can you explain this answer?.
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A shopkeeper has 5 dozens of apples. On selling 12 apples for Rs.600, he incurs a loss equal to the cost price of 2 apples. At what total price should he mark the remaining 4 dozens so that even after giving 20% discount, he would have an overall gain of 10%?Correct answer is '4200'. Can you explain this answer?, a detailed solution for A shopkeeper has 5 dozens of apples. On selling 12 apples for Rs.600, he incurs a loss equal to the cost price of 2 apples. At what total price should he mark the remaining 4 dozens so that even after giving 20% discount, he would have an overall gain of 10%?Correct answer is '4200'. Can you explain this answer? has been provided alongside types of A shopkeeper has 5 dozens of apples. On selling 12 apples for Rs.600, he incurs a loss equal to the cost price of 2 apples. At what total price should he mark the remaining 4 dozens so that even after giving 20% discount, he would have an overall gain of 10%?Correct answer is '4200'. Can you explain this answer? theory, EduRev gives you an
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