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A fruit seller sells 45% of the oranges that he has along with one more orange to a customer. He then sells 20% of the remaining oranges and 2 more oranges to a second customer. He then sells 90% of the now remaining oranges to a third customer and is still left with 5 oranges. How many oranges did the fruit seller have initially?
- a)121
- b)111
- c)100
- d)120
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A fruit seller sells 45% of the oranges that he has along with one mor...
Let the initial oranges with the fruit seller be x.
1st selling = 0.45x + 1
Remaining = x - (0.45x + 1) = 0.55x - 1
2nd selling = 15 × (0.55x - 1) = 0.11x - 0.2 + 2 = 0.11x + 1.8
Remaining after second selling = 0.55x - 1 - (0.11x + 1.8) = 0.55x - 0.11x - 1 - 1.8 = 0.44x - 2.8
3rd selling = 90% × (0.44x - 2.8)
Remaining after 3rd selling = 0.1 × (0.44x - 2.8) = 0.044x - 0.28
According to the question-
⇒ 0.044x - 0.28 = 5
⇒ 0.044x = 5.28
⇒ x = 5.280.044 = 120
∴ The number of oranges was 120.
Most Upvoted Answer
A fruit seller sells 45% of the oranges that he has along with one mor...
Let the initial oranges with the fruit seller be x.
1st selling = 0.45x + 1
Remaining = x - (0.45x + 1) = 0.55x - 1
2nd selling = 15 × (0.55x - 1) = 0.11x - 0.2 + 2 = 0.11x + 1.8
Remaining after second selling = 0.55x - 1 - (0.11x + 1.8) = 0.55x - 0.11x - 1 - 1.8 = 0.44x - 2.8
3rd selling = 90% × (0.44x - 2.8)
Remaining after 3rd selling = 0.1 × (0.44x - 2.8) = 0.044x - 0.28
According to the question-
⇒ 0.044x - 0.28 = 5
⇒ 0.044x = 5.28
⇒ x = 5.280.044 = 120
∴ The number of oranges was 120.
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Community Answer
A fruit seller sells 45% of the oranges that he has along with one mor...
To solve this problem, let's break it down step by step.
Step 1: Calculate the number of oranges the fruit seller had after selling to the first customer.
Let's assume the initial number of oranges the fruit seller had is x.
The fruit seller sells 45% of the oranges to the first customer, which is 0.45x.
He also sells one more orange to the customer, so the total number of oranges sold to the first customer is 0.45x + 1.
Therefore, the number of oranges remaining after the first sale is x - (0.45x + 1) = 0.55x - 1.
Step 2: Calculate the number of oranges the fruit seller had after selling to the second customer.
The fruit seller sells 20% of the remaining oranges to the second customer, which is 0.2(0.55x - 1).
He also sells two more oranges to the second customer, so the total number of oranges sold to the second customer is 0.2(0.55x - 1) + 2.
Therefore, the number of oranges remaining after the second sale is 0.55x - 1 - (0.2(0.55x - 1) + 2) = 0.35x - 3.
Step 3: Calculate the number of oranges the fruit seller had after selling to the third customer.
The fruit seller sells 90% of the remaining oranges to the third customer, which is 0.9(0.35x - 3).
Therefore, the number of oranges remaining after the third sale is 0.35x - 3 - 0.9(0.35x - 3) = 0.35x - 3 - 0.315x + 2.7 = 0.035x - 0.3.
Step 4: Set up an equation using the information from step 3 and solve for x.
According to the problem, the fruit seller is left with 5 oranges after the third sale. Therefore, we have the equation 0.035x - 0.3 = 5.
Solving this equation gives us x = 120.
Therefore, the fruit seller initially had 120 oranges, which is option D.
Step 1: Calculate the number of oranges the fruit seller had after selling to the first customer.
Let's assume the initial number of oranges the fruit seller had is x.
The fruit seller sells 45% of the oranges to the first customer, which is 0.45x.
He also sells one more orange to the customer, so the total number of oranges sold to the first customer is 0.45x + 1.
Therefore, the number of oranges remaining after the first sale is x - (0.45x + 1) = 0.55x - 1.
Step 2: Calculate the number of oranges the fruit seller had after selling to the second customer.
The fruit seller sells 20% of the remaining oranges to the second customer, which is 0.2(0.55x - 1).
He also sells two more oranges to the second customer, so the total number of oranges sold to the second customer is 0.2(0.55x - 1) + 2.
Therefore, the number of oranges remaining after the second sale is 0.55x - 1 - (0.2(0.55x - 1) + 2) = 0.35x - 3.
Step 3: Calculate the number of oranges the fruit seller had after selling to the third customer.
The fruit seller sells 90% of the remaining oranges to the third customer, which is 0.9(0.35x - 3).
Therefore, the number of oranges remaining after the third sale is 0.35x - 3 - 0.9(0.35x - 3) = 0.35x - 3 - 0.315x + 2.7 = 0.035x - 0.3.
Step 4: Set up an equation using the information from step 3 and solve for x.
According to the problem, the fruit seller is left with 5 oranges after the third sale. Therefore, we have the equation 0.035x - 0.3 = 5.
Solving this equation gives us x = 120.
Therefore, the fruit seller initially had 120 oranges, which is option D.
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A fruit seller sells 45% of the oranges that he has along with one more orange to a customer. He then sells 20% of the remaining oranges and 2 more oranges to a second customer. He then sells 90% of the now remaining oranges to a third customer and is still left with 5 oranges. How many oranges did the fruit seller have initially?a)121b)111c)100d)120e)None of theseCorrect answer is option 'D'. Can you explain this answer? for UCAT 2025 is part of UCAT preparation. The Question and answers have been prepared according to the UCAT exam syllabus. Information about A fruit seller sells 45% of the oranges that he has along with one more orange to a customer. He then sells 20% of the remaining oranges and 2 more oranges to a second customer. He then sells 90% of the now remaining oranges to a third customer and is still left with 5 oranges. How many oranges did the fruit seller have initially?a)121b)111c)100d)120e)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for UCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A fruit seller sells 45% of the oranges that he has along with one more orange to a customer. He then sells 20% of the remaining oranges and 2 more oranges to a second customer. He then sells 90% of the now remaining oranges to a third customer and is still left with 5 oranges. How many oranges did the fruit seller have initially?a)121b)111c)100d)120e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
A fruit seller sells 45% of the oranges that he has along with one more orange to a customer. He then sells 20% of the remaining oranges and 2 more oranges to a second customer. He then sells 90% of the now remaining oranges to a third customer and is still left with 5 oranges. How many oranges did the fruit seller have initially?a)121b)111c)100d)120e)None of theseCorrect answer is option 'D'. Can you explain this answer? for UCAT 2025 is part of UCAT preparation. The Question and answers have been prepared according to the UCAT exam syllabus. Information about A fruit seller sells 45% of the oranges that he has along with one more orange to a customer. He then sells 20% of the remaining oranges and 2 more oranges to a second customer. He then sells 90% of the now remaining oranges to a third customer and is still left with 5 oranges. How many oranges did the fruit seller have initially?a)121b)111c)100d)120e)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for UCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A fruit seller sells 45% of the oranges that he has along with one more orange to a customer. He then sells 20% of the remaining oranges and 2 more oranges to a second customer. He then sells 90% of the now remaining oranges to a third customer and is still left with 5 oranges. How many oranges did the fruit seller have initially?a)121b)111c)100d)120e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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A fruit seller sells 45% of the oranges that he has along with one more orange to a customer. He then sells 20% of the remaining oranges and 2 more oranges to a second customer. He then sells 90% of the now remaining oranges to a third customer and is still left with 5 oranges. How many oranges did the fruit seller have initially?a)121b)111c)100d)120e)None of theseCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A fruit seller sells 45% of the oranges that he has along with one more orange to a customer. He then sells 20% of the remaining oranges and 2 more oranges to a second customer. He then sells 90% of the now remaining oranges to a third customer and is still left with 5 oranges. How many oranges did the fruit seller have initially?a)121b)111c)100d)120e)None of theseCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A fruit seller sells 45% of the oranges that he has along with one more orange to a customer. He then sells 20% of the remaining oranges and 2 more oranges to a second customer. He then sells 90% of the now remaining oranges to a third customer and is still left with 5 oranges. How many oranges did the fruit seller have initially?a)121b)111c)100d)120e)None of theseCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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