Question

17. The difference between 38% of number and 24% of the same number is 135.10. What is 40%
of that number?
B) 370
A) 390
D) 378
C) 386​

Answer 1

Answer:

C) 386

Step-by-step explanation:

Let the number be x.

Now, given that the difference between 38% of number and 24% of the same number is 135.10.

So,

1.38 x - 1.24 x = 135.10

(1.38 - 1.24)x = 135.10

(0.14) x = 135.10

x = 135.10/ 0.14

x = 965.

Now we have to find 40% of that number,

0.4 x = 0.4 (965) = 386

Answer 2

Answer:

Let the actual number be [tex] x [/tex]

therefore

$38\%of \: x \: and \: 24\%of \: x$

$\frac{38}{100} \times x - \frac{24}{100} \times x = 135.1$

$\frac{38x}{100} - \frac{24x}{100} = 135.1$

$\frac{38x - 24x}{100} = 135.1$

$\frac{14x}{100} = 135.1$

$14x = 135.1 \times 100$

$14x = 13510$

$x = \frac{13510}{14}$

$x = 965$

Now 40%of x. (where x = 965)

$\frac{40}{100} \times 965$

$= \frac{4 \times 965}{10}$

$= 386$

$hence \: the \: actual \: number \: is \: 386$