A student was asked to find 5/16 of a number. By mistake

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A student was asked to find 5/16 of a number. By mistake he found 5/6 of that number. His answer was 250 more than the correct answer. Find the given number.

Let the number = n

∴ n ×	5	− n ×	5	= 250
	6		16

⇒	40n − 15n	= 250
	48

⇒	25n	= 250
	48

⇒ n =	250 × 48	= 480
	25