7
Q:

# In a competitive examination, the average marks for the entire examination was 60 marks. If 20% of the applicants scored 85 marks and 25% scored 95 marks. What was the average marks of the remaining applicants in the examination ?

 A) 60 B) 52 C) 45 D) 35

Explanation:

Let the total applicants be 100
Then, 20% got 85 marks

i.e 20 $\fn_jvn \small \times$ 85 = 1700

and 25% got 95 marks

i.e 25 $\fn_jvn \small \times$ 95 = 2375

Now, the remaining applicants are 55 and let the average marks scored by them be x.

$\therefore$ 2375 + 1700 + 55$\fn_jvn \small \times$ x  =  60 $\fn_jvn \small \times$ 100

$\Rightarrow$ 6000 - 4075 = 55x
$\Rightarrow$ 55x=1925
$\Rightarrow$ x= $\inline \frac{1925}{55}$
$\Rightarrow$x=35.

Q:

56% of 225 + 20% of 150 = ? - 109

Find the value of '?' in the above equation

 A) 264 B) 220 C) 241 D) None

Explanation:

Given 56% of 225 + 20% of 150 = ? - 109

we know that a% of b = b% of a

Now,

225% of 56 + 20% of 150 = ? - 109

200% of 56 + 25% of 56 + 20% of 150 = ? - 109

112 + 14 + 30 = ? - 109

? = 112 + 14 + 30 + 109

? = 264

7 75
Q:

5% of a number is 25% more than another number. The difference between the numbers is 96. Then find the value of the numbers?

 A) 102 & 6 B) 99 & 3 C) 104 & 8 D) 100 & 4

Explanation:

Let the first number be x and the second number be y.

Given

5% of x = (25% of y) + y

=> 5x/100 = 5y/4

=> x = 25y ......(1)

and also given that, x - y = 96

=> x = 96 + y .....(2)

From (1)&(2)

25y = 96 + y

=> 24y = 96

=> y = 4

From (1)

x = 96 + 4 = 100

Hence, the numbers are 100 & 4.

4 82
Q:

83% of 2350 = ?

 A) 1889.95 B) 1912.35 C) 1875.25 D) 1950.50

Explanation:
83% of 2350 = ?

83/100 x 2350

=8.3 x 235

=1950.50

8 119
Q:

The length of a rectangular plot is increased by 50%, to keep its area unchanged, the width of the plot should be decreased by ______?

 A) 29.87% B) 33.33% C) 22.22% D) 19.5%

Explanation:

% Decrease in Width = $\inline \fn_jvn \frac{50}{150}x100$

= 33.33%

9 240
Q:

If 15% of x = 20% of y, then x:y is  ___?

 A) 4:3 B) 5:4 C) 4:5 D) 3:4

Explanation:

Given 15% of x = 20% of y

=> 15x = 20y

=> x/y = 20/15

=> x : y = 4 : 3