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In an examination, a student was asked to find $3/14$ of a certain number, By mistake, he found $3/4$ of it. His answer was 150 more than the correct answer. The given number is :
Options:
A .  180
B .  240
C .  280
D .  500
Answer: Option C
Answer: (c)
Let the number be x. Then,
$3/4x – 3/14x$ = 150
${21x – 6x}/28$ = 150
15x = 28 × 150
x = ${28 ×150}/15$ = 280

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