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Rani bought more apples than oranges. She sells apples at Rs. 23 a piece and makes 15% profit. She sells orange at Rs. 10 a piece and makes 25% profit. If she gets Rs. 653 after selling all the apples and oranges, find her profit percentage.
- a)16.8%
- b)17.4%
- c)18.9%
- d)183%
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Rani bought more apples than oranges. She sells apples at Rs. 23 a pie...
Given:
Rani sells apples at Rs. 23 a piece and makes a 15% profit.
Rani sells oranges at Rs. 10 a piece and makes a 25% profit.
She gets Rs. 653 after selling all the apples and oranges.
To find:
Rani's profit percentage.
Solution:
Let's assume Rani bought x apples and y oranges.
Profit from selling apples:
Rani sells apples at Rs. 23 a piece and makes a 15% profit.
So, the cost price of each apple = Rs. 23 / (1 + 15/100) = Rs. 23 / 1.15
Total profit from selling apples = 15/100 * cost price of each apple * number of apples
= 15/100 * (23 / 1.15) * x
= 0.15 * 23/1.15 * x
= 0.15 * 23 * x/1.15
Profit from selling oranges:
Rani sells oranges at Rs. 10 a piece and makes a 25% profit.
So, the cost price of each orange = Rs. 10 / (1 + 25/100) = Rs. 10 / 1.25
Total profit from selling oranges = 25/100 * cost price of each orange * number of oranges
= 25/100 * (10 / 1.25) * y
= 0.25 * 10/1.25 * y
= 0.25 * 10 * y/1.25
Total profit:
Total profit = Profit from selling apples + Profit from selling oranges
= 0.15 * 23 * x/1.15 + 0.25 * 10 * y/1.25
= 0.15 * 23 * x/1.15 + 0.25 * 10 * y/1.25
= 0.15 * 23 * x + 0.25 * 10 * y
Given that the total profit is Rs. 653, we have:
0.15 * 23 * x + 0.25 * 10 * y = 653
Simplifying the equation:
3.45x + 2.5y = 653 ...(1)
It is also given that Rani bought more apples than oranges, i.e., x > y.
To find Rani's profit percentage, we need to find the profit percentage of total cost, which is given by:
Profit percentage = (Total profit / Total cost) * 100
We can find the total cost by adding the cost of apples and oranges:
Total cost = Cost of apples + Cost of oranges
= (Cost price of each apple * number of apples) + (Cost price of each orange * number of oranges)
= (23 / 1.15) * x + (10 / 1.25) * y
= 23 * x/1.15 + 10 * y/1.25
= 20 * x + 8 * y/1.15
We can substitute the value of x from equation (1) into the total cost equation:
Total cost = 20 * x + 8 * y/1
Rani sells apples at Rs. 23 a piece and makes a 15% profit.
Rani sells oranges at Rs. 10 a piece and makes a 25% profit.
She gets Rs. 653 after selling all the apples and oranges.
To find:
Rani's profit percentage.
Solution:
Let's assume Rani bought x apples and y oranges.
Profit from selling apples:
Rani sells apples at Rs. 23 a piece and makes a 15% profit.
So, the cost price of each apple = Rs. 23 / (1 + 15/100) = Rs. 23 / 1.15
Total profit from selling apples = 15/100 * cost price of each apple * number of apples
= 15/100 * (23 / 1.15) * x
= 0.15 * 23/1.15 * x
= 0.15 * 23 * x/1.15
Profit from selling oranges:
Rani sells oranges at Rs. 10 a piece and makes a 25% profit.
So, the cost price of each orange = Rs. 10 / (1 + 25/100) = Rs. 10 / 1.25
Total profit from selling oranges = 25/100 * cost price of each orange * number of oranges
= 25/100 * (10 / 1.25) * y
= 0.25 * 10/1.25 * y
= 0.25 * 10 * y/1.25
Total profit:
Total profit = Profit from selling apples + Profit from selling oranges
= 0.15 * 23 * x/1.15 + 0.25 * 10 * y/1.25
= 0.15 * 23 * x/1.15 + 0.25 * 10 * y/1.25
= 0.15 * 23 * x + 0.25 * 10 * y
Given that the total profit is Rs. 653, we have:
0.15 * 23 * x + 0.25 * 10 * y = 653
Simplifying the equation:
3.45x + 2.5y = 653 ...(1)
It is also given that Rani bought more apples than oranges, i.e., x > y.
To find Rani's profit percentage, we need to find the profit percentage of total cost, which is given by:
Profit percentage = (Total profit / Total cost) * 100
We can find the total cost by adding the cost of apples and oranges:
Total cost = Cost of apples + Cost of oranges
= (Cost price of each apple * number of apples) + (Cost price of each orange * number of oranges)
= (23 / 1.15) * x + (10 / 1.25) * y
= 23 * x/1.15 + 10 * y/1.25
= 20 * x + 8 * y/1.15
We can substitute the value of x from equation (1) into the total cost equation:
Total cost = 20 * x + 8 * y/1
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Community Answer
Rani bought more apples than oranges. She sells apples at Rs. 23 a pie...
Let number of apples and oranges that Rani brought be A and O respectively.
Now, 23A + 10O = 653 Since 653 has last digit as 3 which can come by multiplying 23 with 1, 11, 21, 31 and so on.
Here, number of apples bought is greater than number of oranges. So, A > O
We can see that A = 21 and O = 17 is the only solution.
So, number of Apples bought = 21 and number of Oranges bought = 17.
Cost of an Apple = 23/1.15 and Cost of an Orange = 10/1.25
Overall cost = (23/1.15) × 21 + (10/1.25) × 17 = 483/1.15 + 170/1.25 = 420 + 136 = 556
Profit = 653 - 556 = 97
Profit percentage = (97/556) x 100 = 17.4%
Hence, option (b) is correct.
Now, 23A + 10O = 653 Since 653 has last digit as 3 which can come by multiplying 23 with 1, 11, 21, 31 and so on.
Here, number of apples bought is greater than number of oranges. So, A > O
We can see that A = 21 and O = 17 is the only solution.
So, number of Apples bought = 21 and number of Oranges bought = 17.
Cost of an Apple = 23/1.15 and Cost of an Orange = 10/1.25
Overall cost = (23/1.15) × 21 + (10/1.25) × 17 = 483/1.15 + 170/1.25 = 420 + 136 = 556
Profit = 653 - 556 = 97
Profit percentage = (97/556) x 100 = 17.4%
Hence, option (b) is correct.
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Rani bought more apples than oranges. She sells apples at Rs. 23 a piece and makes 15% profit. She sells orange at Rs. 10 a piece and makes 25% profit. If she gets Rs. 653 after selling all the apples and oranges, find her profit percentage.a)16.8%b)17.4%c)18.9%d)183%Correct answer is option 'B'. Can you explain this answer?
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Rani bought more apples than oranges. She sells apples at Rs. 23 a piece and makes 15% profit. She sells orange at Rs. 10 a piece and makes 25% profit. If she gets Rs. 653 after selling all the apples and oranges, find her profit percentage.a)16.8%b)17.4%c)18.9%d)183%Correct answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Rani bought more apples than oranges. She sells apples at Rs. 23 a piece and makes 15% profit. She sells orange at Rs. 10 a piece and makes 25% profit. If she gets Rs. 653 after selling all the apples and oranges, find her profit percentage.a)16.8%b)17.4%c)18.9%d)183%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rani bought more apples than oranges. She sells apples at Rs. 23 a piece and makes 15% profit. She sells orange at Rs. 10 a piece and makes 25% profit. If she gets Rs. 653 after selling all the apples and oranges, find her profit percentage.a)16.8%b)17.4%c)18.9%d)183%Correct answer is option 'B'. Can you explain this answer?.
Rani bought more apples than oranges. She sells apples at Rs. 23 a piece and makes 15% profit. She sells orange at Rs. 10 a piece and makes 25% profit. If she gets Rs. 653 after selling all the apples and oranges, find her profit percentage.a)16.8%b)17.4%c)18.9%d)183%Correct answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Rani bought more apples than oranges. She sells apples at Rs. 23 a piece and makes 15% profit. She sells orange at Rs. 10 a piece and makes 25% profit. If she gets Rs. 653 after selling all the apples and oranges, find her profit percentage.a)16.8%b)17.4%c)18.9%d)183%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rani bought more apples than oranges. She sells apples at Rs. 23 a piece and makes 15% profit. She sells orange at Rs. 10 a piece and makes 25% profit. If she gets Rs. 653 after selling all the apples and oranges, find her profit percentage.a)16.8%b)17.4%c)18.9%d)183%Correct answer is option 'B'. Can you explain this answer?.
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Rani bought more apples than oranges. She sells apples at Rs. 23 a piece and makes 15% profit. She sells orange at Rs. 10 a piece and makes 25% profit. If she gets Rs. 653 after selling all the apples and oranges, find her profit percentage.a)16.8%b)17.4%c)18.9%d)183%Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Rani bought more apples than oranges. She sells apples at Rs. 23 a piece and makes 15% profit. She sells orange at Rs. 10 a piece and makes 25% profit. If she gets Rs. 653 after selling all the apples and oranges, find her profit percentage.a)16.8%b)17.4%c)18.9%d)183%Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Rani bought more apples than oranges. She sells apples at Rs. 23 a piece and makes 15% profit. She sells orange at Rs. 10 a piece and makes 25% profit. If she gets Rs. 653 after selling all the apples and oranges, find her profit percentage.a)16.8%b)17.4%c)18.9%d)183%Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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