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Practice Quiz or MCQ (Multiple Choice Questions) with solution are available for Practice, which would help you prepare for Percentages under Quantitative Aptitude. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.
Q. Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:
  • a)
    39, 30
  • b)
    41, 32
  • c)
    42, 33
  • d)
    43, 34
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Practice Quiz or MCQ (Multiple Choice Questions) with solution are ava...
Let their marks be (x+9) and x.
Then, x+9 = 56/100(x + 9 +x)
=> 25(x+9)
=> 14 (2x + 9)
=> 3x = 99
=> x = 33.
So, their marks are 42 and 33
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Most Upvoted Answer
Practice Quiz or MCQ (Multiple Choice Questions) with solution are ava...
(X 9)=56% of x x 9 = 56/100 x (2x 9) 100x 900 = 112x 504 12x=900-504 =396 X= 396/12 = 33Therefore = x 9=33 9 =42 Hence answer is 33 & 42
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Community Answer
Practice Quiz or MCQ (Multiple Choice Questions) with solution are ava...
To solve this problem, let's assume the marks obtained by the two students are x and y respectively.

Let's break down the information given in the question:

1. "One of them secured 9 marks more than the other":
This can be represented as x = y + 9.

2. "His marks were 56% of the sum of their marks":
This can be represented as x = 0.56(x + y).

Now, let's solve these equations to find the values of x and y.

1. Substitute the value of x from equation 1 into equation 2:
y + 9 = 0.56(y + 9 + y)
Simplifying the equation, we get:
y + 9 = 0.56(2y + 9)
y + 9 = 1.12y + 5.04
Rearranging the equation, we get:
0.12y = 3.96
y = 3.96 / 0.12
y = 33

2. Substitute the value of y into equation 1 to find x:
x = y + 9
x = 33 + 9
x = 42

Therefore, the marks obtained by the two students are 42 and 33, which corresponds to option C.
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Practice Quiz or MCQ (Multiple Choice Questions) with solution are available for Practice, which would help you prepare for Percentages under Quantitative Aptitude. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.Q. Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:a)39, 30b)41, 32c)42, 33d)43, 34Correct answer is option 'C'. Can you explain this answer?
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