Quant Exam > Quant Questions > A man buys some quantity of rice for Rs 5100....
Start Learning for Free
A man buys some quantity of rice for Rs 5100. He sells one third of it at a profit of 10%. At what percent gain should he sell the remaining two-third so as to make an overall profit of 20% on the whole transaction?
- a)10%
- b)15%
- c)20%
- d)25%
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A man buys some quantity of rice for Rs 5100. He sells one third of it...
10………………….X
…………20……………
x-20…………….10
1:2
X=25
…………20……………
x-20…………….10
1:2
X=25
Most Upvoted Answer
A man buys some quantity of rice for Rs 5100. He sells one third of it...
5100×1/3 = 1700
Profit @10% on 1700= 170
Now, we want overall 20% profit, hence 20% of rs 5100 = 1020
we already gained 170 hence we will deduct it from rs1020 which will give us balance amt of rs 850.
We have to earn a profit of rs 850 on (5100-1700) rs 3400, hence rs 850/rs 3400 = 25%
Profit @10% on 1700= 170
Now, we want overall 20% profit, hence 20% of rs 5100 = 1020
we already gained 170 hence we will deduct it from rs1020 which will give us balance amt of rs 850.
We have to earn a profit of rs 850 on (5100-1700) rs 3400, hence rs 850/rs 3400 = 25%
Free Test
FREE
| Start Free Test |
Community Answer
A man buys some quantity of rice for Rs 5100. He sells one third of it...
Given:
- The man buys some quantity of rice for Rs 5100.
- He sells one-third of it at a profit of 10%.
- He wants to make an overall profit of 20% on the whole transaction.
To find:
At what percent gain should he sell the remaining two-thirds so as to make an overall profit of 20% on the whole transaction?
Solution:
Let's start by finding the selling price of the one-third quantity that he sells at a 10% profit.
Selling price of one-third quantity:
Profit percentage = 10%
Cost price = Rs 5100
Let the selling price be x.
Profit = Selling price - Cost price
10% of Cost price = x - Rs 5100
(10/100) * Rs 5100 = x - Rs 5100
(10/100) * Rs 5100 + Rs 5100 = x
Rs 510 + Rs 5100 = x
Rs 5610 = x
So, he sells one-third of the rice at Rs 5610.
Now, let's find how much profit he needs to make from the remaining two-thirds quantity in order to achieve an overall profit of 20%.
Overall profit percentage = 20%
Profit from one-third quantity = 10%
Let the profit percentage from the remaining two-thirds quantity be y.
Total cost price = Cost price of one-third quantity + Cost price of remaining two-thirds quantity
Rs 5100 = Rs 5100 + Cost price of remaining two-thirds quantity
Cost price of remaining two-thirds quantity = Rs 0
Total selling price = Selling price of one-third quantity + Selling price of remaining two-thirds quantity
Total selling price = Rs 5610 + Selling price of remaining two-thirds quantity
Profit = Total selling price - Total cost price
Profit = Total selling price - Rs 5100
Profit percentage = (Profit / Total cost price) * 100
20% = ((Total selling price - Rs 5100) / Rs 5100) * 100
Substituting the value of Total selling price:
20% = ((Rs 5610 + Selling price of remaining two-thirds quantity - Rs 5100) / Rs 5100) * 100
Simplifying the equation:
20% = (Selling price of remaining two-thirds quantity / Rs 5100) * 100
Selling price of remaining two-thirds quantity = (20/100) * Rs 5100
Selling price of remaining two-thirds quantity = Rs 1020
Profit from remaining two-thirds quantity:
Profit = Selling price of remaining two-thirds quantity - Cost price of remaining two-thirds quantity
Profit = Rs 1020 - Rs 0
Profit = Rs 1020
Profit percentage from remaining two-thirds quantity:
Profit percentage = (Profit / Cost price of remaining two-thirds quantity) * 100
Profit percentage = (Rs 1020 / Rs 0) * 100
Profit percentage = Infinity
Since the profit percentage is infinite, he cannot sell the remaining two-thirds quantity at any percentage gain to make an overall profit of 20%. Therefore, the correct answer is
- The man buys some quantity of rice for Rs 5100.
- He sells one-third of it at a profit of 10%.
- He wants to make an overall profit of 20% on the whole transaction.
To find:
At what percent gain should he sell the remaining two-thirds so as to make an overall profit of 20% on the whole transaction?
Solution:
Let's start by finding the selling price of the one-third quantity that he sells at a 10% profit.
Selling price of one-third quantity:
Profit percentage = 10%
Cost price = Rs 5100
Let the selling price be x.
Profit = Selling price - Cost price
10% of Cost price = x - Rs 5100
(10/100) * Rs 5100 = x - Rs 5100
(10/100) * Rs 5100 + Rs 5100 = x
Rs 510 + Rs 5100 = x
Rs 5610 = x
So, he sells one-third of the rice at Rs 5610.
Now, let's find how much profit he needs to make from the remaining two-thirds quantity in order to achieve an overall profit of 20%.
Overall profit percentage = 20%
Profit from one-third quantity = 10%
Let the profit percentage from the remaining two-thirds quantity be y.
Total cost price = Cost price of one-third quantity + Cost price of remaining two-thirds quantity
Rs 5100 = Rs 5100 + Cost price of remaining two-thirds quantity
Cost price of remaining two-thirds quantity = Rs 0
Total selling price = Selling price of one-third quantity + Selling price of remaining two-thirds quantity
Total selling price = Rs 5610 + Selling price of remaining two-thirds quantity
Profit = Total selling price - Total cost price
Profit = Total selling price - Rs 5100
Profit percentage = (Profit / Total cost price) * 100
20% = ((Total selling price - Rs 5100) / Rs 5100) * 100
Substituting the value of Total selling price:
20% = ((Rs 5610 + Selling price of remaining two-thirds quantity - Rs 5100) / Rs 5100) * 100
Simplifying the equation:
20% = (Selling price of remaining two-thirds quantity / Rs 5100) * 100
Selling price of remaining two-thirds quantity = (20/100) * Rs 5100
Selling price of remaining two-thirds quantity = Rs 1020
Profit from remaining two-thirds quantity:
Profit = Selling price of remaining two-thirds quantity - Cost price of remaining two-thirds quantity
Profit = Rs 1020 - Rs 0
Profit = Rs 1020
Profit percentage from remaining two-thirds quantity:
Profit percentage = (Profit / Cost price of remaining two-thirds quantity) * 100
Profit percentage = (Rs 1020 / Rs 0) * 100
Profit percentage = Infinity
Since the profit percentage is infinite, he cannot sell the remaining two-thirds quantity at any percentage gain to make an overall profit of 20%. Therefore, the correct answer is
|
Explore Courses for Quant exam
|
|
A man buys some quantity of rice for Rs 5100. He sells one third of it at a profit of 10%. At what percent gain should he sell the remaining two-third so as to make an overall profit of 20% on the whole transaction?a)10%b)15%c)20%d)25%e)None of theseCorrect answer is option 'D'. Can you explain this answer?
Question Description
A man buys some quantity of rice for Rs 5100. He sells one third of it at a profit of 10%. At what percent gain should he sell the remaining two-third so as to make an overall profit of 20% on the whole transaction?a)10%b)15%c)20%d)25%e)None of theseCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A man buys some quantity of rice for Rs 5100. He sells one third of it at a profit of 10%. At what percent gain should he sell the remaining two-third so as to make an overall profit of 20% on the whole transaction?a)10%b)15%c)20%d)25%e)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man buys some quantity of rice for Rs 5100. He sells one third of it at a profit of 10%. At what percent gain should he sell the remaining two-third so as to make an overall profit of 20% on the whole transaction?a)10%b)15%c)20%d)25%e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
A man buys some quantity of rice for Rs 5100. He sells one third of it at a profit of 10%. At what percent gain should he sell the remaining two-third so as to make an overall profit of 20% on the whole transaction?a)10%b)15%c)20%d)25%e)None of theseCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A man buys some quantity of rice for Rs 5100. He sells one third of it at a profit of 10%. At what percent gain should he sell the remaining two-third so as to make an overall profit of 20% on the whole transaction?a)10%b)15%c)20%d)25%e)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man buys some quantity of rice for Rs 5100. He sells one third of it at a profit of 10%. At what percent gain should he sell the remaining two-third so as to make an overall profit of 20% on the whole transaction?a)10%b)15%c)20%d)25%e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
Solutions for A man buys some quantity of rice for Rs 5100. He sells one third of it at a profit of 10%. At what percent gain should he sell the remaining two-third so as to make an overall profit of 20% on the whole transaction?a)10%b)15%c)20%d)25%e)None of theseCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of A man buys some quantity of rice for Rs 5100. He sells one third of it at a profit of 10%. At what percent gain should he sell the remaining two-third so as to make an overall profit of 20% on the whole transaction?a)10%b)15%c)20%d)25%e)None of theseCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A man buys some quantity of rice for Rs 5100. He sells one third of it at a profit of 10%. At what percent gain should he sell the remaining two-third so as to make an overall profit of 20% on the whole transaction?a)10%b)15%c)20%d)25%e)None of theseCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A man buys some quantity of rice for Rs 5100. He sells one third of it at a profit of 10%. At what percent gain should he sell the remaining two-third so as to make an overall profit of 20% on the whole transaction?a)10%b)15%c)20%d)25%e)None of theseCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A man buys some quantity of rice for Rs 5100. He sells one third of it at a profit of 10%. At what percent gain should he sell the remaining two-third so as to make an overall profit of 20% on the whole transaction?a)10%b)15%c)20%d)25%e)None of theseCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A man buys some quantity of rice for Rs 5100. He sells one third of it at a profit of 10%. At what percent gain should he sell the remaining two-third so as to make an overall profit of 20% on the whole transaction?a)10%b)15%c)20%d)25%e)None of theseCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup