In an examination, a student was asked find $$\frac{3}{{14}}$$ of a certain number. By mistake he found $$\frac{3}{{4}}$$ of it, his answer is 150 more than the correct answer. The given number is -

Solution (By Examveda Team)

$$\eqalign{ & {\text{Let thr number be x}} \cr & {\text{According to question}} \cr & \frac{3}{4}x - \frac{3}{{14}}x = 150 \cr & \frac{{21x - 6x}}{{28}} = 150 \cr & 15x = 150 \times 28 \cr & x = 280 \cr} $$