A candidate who gets 30% of the marks fails by 50 marks. But another candidate who gets 45% marks gets 25 marks more than necessary for passing. Find the number of marks for passing?

A). 150

B). 200

C). 250

D). 275

Let total Marks is: $x$

According to the question $0.3x + 50 =$ Passing Marks

& $0.45x - 25 =$ Passing Marks

On Solving

$0.3x + 50 = 0.45x - 25$

$0.15x = 75$

$x = 500$

Passing Marks $= 0.3 \times 500 + 50 = 200$

200

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