If 25% of a number is subtracted from a second number, the second number reduces to its four-sixth. What is the ratio of the first number to the second number ?

Correct Answer: 525

Explanation:

Given 40% minimum passing marks for boys = 483 + 117 = 600
=> 1% = 600/40
=> 100% = 600 x 100/40 = 1500
Minimum passing marks for girls = 35% of 1500 = 35 x 1500/100 = 525.

Correct Answer: 84%

Explanation:

Let the number be 'x'

 

Then, according to the given data,

  5 2 x - 2 5 x 5 2 x x 100

 

=  21 25 x 100

 

= 84%

Correct Answer: 1950.50

Explanation:

Correct Answer: -2

Explanation:

           2000 x X 100 + 4000 x Y 100 = 320

 

and      2000 x X 100 + 10000 x Y 100 = 680

 

x = 4  and  y = 6

 

x-y = -2

Correct Answer: Rs. 150

Explanation:

Given 30% of 500

$$\begin{gathered} = 30 100 x 500 \\ = 30 x 5 \\ = 150 \end{gathered}$$

 

Hence, 30% of Rs. 500 = Rs. 150.

Correct Answer: 84.8

Explanation:

Let 'M' be the maximum marks in the examination.

Therefore, Madhu got 32% of M = 32M/100 = 0.32M
And Kumar got 42% of M = 42M/100 = 0.42M.
In terms of the maximum marks Kumar got 0.42M - 0.32M = 0.1M more than Madhu. ---- (1)

The problem however, states that Kumar got 16 marks more than the cut-off mark and Madhu got 8 marks less than the cut-off mark. Therefore, Kumar has got 16 + 8 = 24 marks more than Madhu. ---- (2)

Now, Equating (1) and (2), we get
0.1M = 24 => M = 24/0.1 = 240
'M' is the maximum mark and is equal to 240 marks.
We know that Madhu got 32% of the maximum marks.
Therefore, Madhu got 32 x 240/100 = 76.8 marks.
We also know that Madhu got 8 marks less than the cut-off marks.

Therefore, the cut-off marks will be 8 marks more than what Madhu got
= 76.8 + 8 = 84.8.

Correct Answer: 0.5

Explanation:

80x900/100 + 256 x 4 x ? = 1331 - 99

720 + 1024 x ? = 1232

? = 1232 - 720/1024

? = 512/1024 = 0.5

? = 0.5 

Correct Answer: 12.8 lit

Explanation:

This can be solved as

 

$$\begin{gathered} 20 1 - 4 20 2 = 20 1 - 1 5 2 \\ = 20 4 5 2 \\ = 20 16 25 \\ = 64 5 \\ = 12 . 8 \end{gathered}$$

Correct Answer: 700

Explanation:

Let number of boys = B

Number of girls = G

From the given data,

1B/3 + 1G/2 = 300

But given B/3 = 100

=> B = 300

G/2 = 300 - 100

G = 200 x 2

=> G = 400

Therefore, total number of students in the college = B + G = 700.

Correct Answer: 80

Explanation:

Let marks obtained by S = M

R's marks = 0.80M

Q's marks = 1.25 (0.80M)

P's marks = (0.90) (1.25) (0.80M)

= 0.9M

But 0.9M = 360

M = ?

M = 400

Hence % of marks obtained by S

= 400/500 x 100 = 80%.