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