Question

The respective ratio between 52% of X and 30% of Y is 12:5. If X is 50 more than Y, what is the value of '2X + Y' ?​

Answer 1

Answer:

2X+Y= 490

X=180

Y=130

Step-by-step explanation:

Answer 2

The respective ratio between 52% of X and 30% of Y is 12:5. If X is 50 more than Y, the value of '2X + Y' is 490.

52% of X is represented as:

$\frac{52X}{100}$                                     ......(1)

30% of Y is represented as:

$\frac{30Y}{100}$                                     ......(2)

Given, that the ration between (1) and (2) is 12:5

So, $\frac{\frac{52X}{100} }{\frac{30Y}{100} }$ = $\frac{12}{5}$

⇒ $\frac{52X}{30Y}$ = $\frac{12}{5}$

$\frac{X}{Y}$ = $\frac{30*12}{52*5}$ = $\frac{18}{13}$   ...(3)

It is  also stated that X is 50 more than Y, so

X = 50 + Y

Substituting the value of X = 50 + Y in (3), we get,

$\frac{50 + Y}{Y}$ = $\frac{18}{13}$

⇒ 650 + 13Y = 18Y

⇒ 5Y = 650

⇒ Y = 650/5 = 130

Putting the value of Y = 130 in X = 50 + Y, we get,

X = 50 + 130 = 180

⇒ X = 180

To find 2X + Y, we substitute the value of X = 180 and Y = 130,

So, 2(180) + 130 = 360 + 130 = 490

Thus the value is 490.