Arithmetic

Percentages

Medium

A candidate scoring $x \%$ marks in an examination fails by ' $a$ ' marks while another candidate who scores $y \%$ marks, gets ' $b$ ' marks more than the minimum required pass marks. What is the maximum marks for the examination ?

$\frac{100(a+b)}{(x-y)}$

$\frac{100(a-b)}{(x+y)}$

$\frac{100(a+b)}{(y-x)}$

$\frac{100(a-b)}{(x-y)}$

✅ Correct Option: 3

Let's say maximum marks is $M$

Then $x\%$ of $M = \frac{xM}{100}$

Let pass marks be $P$

For first candidate:

Score = $\frac{xM}{100}$ $\frac{x M}{100}$
- Fails by $a$ marks
- Therefore: $\frac{xM}{100} = P - a$

For second candidate:

Score = $\frac{yM}{100}$ $\frac{y M}{100}$
- Exceeds by $b$ marks
- Therefore: $\frac{yM}{100} = P + b$

From equations:

$\frac{xM}{100} = P - a$ ...(1)

$\frac{yM}{100} = P + b$ ...(2)

Subtracting (1) from (2):

$\frac{(y-x)M}{100} = a+b$

$M = \frac{100(a+b)}{y-x}$

Therefore, maximum marks = $\frac{100(a+b)}{y-x}$

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Three numbers A, B and C are such that A is 40% less than B, and C is 40% of the sum of A and B. The difference between A and B is what percentage of C?

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	LIST-I (Expression)		LIST-II (Value)
A.	$(550\%\text{ of }250) \div 275$	I.	129.58
B.	$38\%\text{ of }341$	II.	231.6
C.	$15\%\text{ of }578+22.5\%\text{ of }644$	III.	156.8
D.	$140\%\text{ of }56+56\%\text{ of }140$	IV.	5

Choose the correct answer from the options given below:

JIPMAT 2024

Given below are two statements :

In class ' $X$ ' of 30 students, 24 passed in first division; in another class ' $Y$ ' of 35 students, 28 passed in first division.

Statement I : Class ' $X$ ' has more percentage of students getting first division.

Statement II : Both classes have equal percentage of students getting first division.

A candidate scoring x%x \%x% marks in an examination fails by ' aaa ' marks while another candidate who scores y%y \%y% marks, gets ' bbb ' marks more than the minimum required pass marks. What is the maximum marks for the examination ?

Solution

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JIPMAT Past Year Questions (Topic-Wise)

A candidate scoring $x \%$ marks in an examination fails by ' $a$ ' marks while another candidate who scores $y \%$ marks, gets ' $b$ ' marks more than the minimum required pass marks. What is the maximum marks for the examination ?