1)

If $37$% of $150 + 25$% of $x$ $= 1 \left(\frac{1}{2}\right)$ , then the value of x = ?


A) 260

B) 160

C) 250

D) 302

E) 280

Answer:

Option A

Explanation:

$ \left( \frac{( 37 \times 150 )}{100} \right)$ $+ \left(\frac{25x}{100}\right)$ $= \left(\frac{241}{2} \right)$  

$\Rightarrow \left(\frac{111}{2}\right)$ $+ \left(\frac{x}{4}\right)$ $= \left(\frac{241}{2}\right)$

$\left(\frac{x}{4}\right)$ $=\left( \frac{( 241 - 111 )}{2}\right)$

$= \left(\frac{130}{2}\right)$

$\Rightarrow x = 65 \times 4$ $= 260.$