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A number whose fifth part increased by 5 is equal to its fourth part diminished by 5 is?

160
180
200
220

Correct Answer: 200

Explanation:

Let the number be N.
Then, (N/5) + 5 = (N/4) - 5
⇒ (N/4) - (N/5) = 10
⇒ (5N - 4N)/20 = 10
∴ N = 200

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