UCAT Exam > UCAT Questions > The sum of two numbers is 2490. If 6.5 % of o...
Start Learning for Free
The sum of two numbers is 2490. If 6.5 % of one number is equal to 8.5 % of the other then the numbers are:
- a)989, 1501
- b)1011, 1479
- c)1401, 1089
- d)1411, 1079
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The sum of two numbers is 2490. If 6.5 % of one number is equal to 8.5...
Let the number be x and (2490 - x).
Then 6.5 % of x = 8.5 % of (2490 - x)
⇒ 6.5/100 Ã - x = 8.5/100 Ã - (2490 - x)
⇒ 65x/1000 = 85(2490 - x)/1000
⇒ 65x = (85 Ã - 2490) “ 85x
⇒ 150x =(85 Ã - 2490)
⇒ x = 211650/150 = 1411
Hence the numbers are 1411 and (2490 - 1411) = 1079
Then 6.5 % of x = 8.5 % of (2490 - x)
⇒ 6.5/100 Ã - x = 8.5/100 Ã - (2490 - x)
⇒ 65x/1000 = 85(2490 - x)/1000
⇒ 65x = (85 Ã - 2490) “ 85x
⇒ 150x =(85 Ã - 2490)
⇒ x = 211650/150 = 1411
Hence the numbers are 1411 and (2490 - 1411) = 1079
Most Upvoted Answer
The sum of two numbers is 2490. If 6.5 % of one number is equal to 8.5...
Let the number be x and (2490 - x).
Then 6.5 % of x = 8.5 % of (2490 - x)
⇒ 6.5/100 Ã - x = 8.5/100 Ã - (2490 - x)
⇒ 65x/1000 = 85(2490 - x)/1000
⇒ 65x = (85 Ã - 2490) “ 85x
⇒ 150x =(85 Ã - 2490)
⇒ x = 211650/150 = 1411
Hence the numbers are 1411 and (2490 - 1411) = 1079
Then 6.5 % of x = 8.5 % of (2490 - x)
⇒ 6.5/100 Ã - x = 8.5/100 Ã - (2490 - x)
⇒ 65x/1000 = 85(2490 - x)/1000
⇒ 65x = (85 Ã - 2490) “ 85x
⇒ 150x =(85 Ã - 2490)
⇒ x = 211650/150 = 1411
Hence the numbers are 1411 and (2490 - 1411) = 1079
Free Test
FREE
| Start Free Test |
Community Answer
The sum of two numbers is 2490. If 6.5 % of one number is equal to 8.5...
Understanding the Problem:
The problem states that the sum of two numbers is 2490 and that 6.5% of one number is equal to 8.5% of the other. We need to find the two numbers that satisfy these conditions.
Setting up Equations:
Let's assume the two numbers be x and y.
According to the problem:
x + y = 2490
0.065x = 0.085y
Solving the Equations:
From the first equation, we can express y in terms of x:
y = 2490 - x
Substitute this into the second equation:
0.065x = 0.085(2490 - x)
0.065x = 211.65 - 0.085x
0.065x + 0.085x = 211.65
0.15x = 211.65
x = 211.65 / 0.15
x = 1411
Substitute x back into the first equation to find y:
1411 + y = 2490
y = 2490 - 1411
y = 1079
Therefore, the two numbers are 1411 and 1079, which matches option D.
The problem states that the sum of two numbers is 2490 and that 6.5% of one number is equal to 8.5% of the other. We need to find the two numbers that satisfy these conditions.
Setting up Equations:
Let's assume the two numbers be x and y.
According to the problem:
x + y = 2490
0.065x = 0.085y
Solving the Equations:
From the first equation, we can express y in terms of x:
y = 2490 - x
Substitute this into the second equation:
0.065x = 0.085(2490 - x)
0.065x = 211.65 - 0.085x
0.065x + 0.085x = 211.65
0.15x = 211.65
x = 211.65 / 0.15
x = 1411
Substitute x back into the first equation to find y:
1411 + y = 2490
y = 2490 - 1411
y = 1079
Therefore, the two numbers are 1411 and 1079, which matches option D.
|
Explore Courses for UCAT exam
|
|
Top Courses for UCATView all
Question Description
The sum of two numbers is 2490. If 6.5 % of one number is equal to 8.5 % of the other then the numbers are:a)989, 1501b)1011, 1479c)1401, 1089d)1411, 1079e)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 The sum of two numbers is 2490. If 6.5 % of one number is equal to 8.5 % of the other then the numbers are:a)989, 1501b)1011, 1479c)1401, 1089d)1411, 1079e)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 The sum of two numbers is 2490. If 6.5 % of one number is equal to 8.5 % of the other then the numbers are:a)989, 1501b)1011, 1479c)1401, 1089d)1411, 1079e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
The sum of two numbers is 2490. If 6.5 % of one number is equal to 8.5 % of the other then the numbers are:a)989, 1501b)1011, 1479c)1401, 1089d)1411, 1079e)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 The sum of two numbers is 2490. If 6.5 % of one number is equal to 8.5 % of the other then the numbers are:a)989, 1501b)1011, 1479c)1401, 1089d)1411, 1079e)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 The sum of two numbers is 2490. If 6.5 % of one number is equal to 8.5 % of the other then the numbers are:a)989, 1501b)1011, 1479c)1401, 1089d)1411, 1079e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
Solutions for The sum of two numbers is 2490. If 6.5 % of one number is equal to 8.5 % of the other then the numbers are:a)989, 1501b)1011, 1479c)1401, 1089d)1411, 1079e)None of theseCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for UCAT.
Download more important topics, notes, lectures and mock test series for UCAT Exam by signing up for free.
Here you can find the meaning of The sum of two numbers is 2490. If 6.5 % of one number is equal to 8.5 % of the other then the numbers are:a)989, 1501b)1011, 1479c)1401, 1089d)1411, 1079e)None of theseCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The sum of two numbers is 2490. If 6.5 % of one number is equal to 8.5 % of the other then the numbers are:a)989, 1501b)1011, 1479c)1401, 1089d)1411, 1079e)None of theseCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for The sum of two numbers is 2490. If 6.5 % of one number is equal to 8.5 % of the other then the numbers are:a)989, 1501b)1011, 1479c)1401, 1089d)1411, 1079e)None of theseCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of The sum of two numbers is 2490. If 6.5 % of one number is equal to 8.5 % of the other then the numbers are:a)989, 1501b)1011, 1479c)1401, 1089d)1411, 1079e)None of theseCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The sum of two numbers is 2490. If 6.5 % of one number is equal to 8.5 % of the other then the numbers are:a)989, 1501b)1011, 1479c)1401, 1089d)1411, 1079e)None of theseCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice UCAT tests.
|
|
Explore Courses for UCAT 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
|
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup