40% of 265 + 35% of 180 = 50% of ?

Answer: Option D

Let 40% of 265 + 35% of 180 = 50% of x
Then, $$\left(\frac{40}{100}\times 265\right)$$   + $$\left(\frac{35}{100}\times 180\right)$$   = $$\left(\frac{50}{100}\times x\right)$$
⇒ 106 + 63 = $$\frac{x}{2}$$
⇒ x = 169 × 2
⇒ x = 338