If x litre of water is filled in a pot,

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Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Percentages

Question:

If x litre of water is filled in a pot, it remains empty by y% of its capacity. find its capacity?

Options:

\(\frac{100x}{100-y}\)

\(\frac{100y}{100-x}\)

\(\frac{x+y}{100}\)

\(\frac{x-y}{100}\)

Correct Answer:

\(\frac{100x}{100-y}\)

Explanation:

Let total capacity = z litre

ATQ,

⇒ z - x = z × y%

⇒ z - x = z\(\frac{y}{100}\)

⇒ z - \(\frac{zy}{100}\) = x

⇒ z [1 - \(\frac{y}{100}\)] = x

⇒ z [\(\frac{100\;-\;y}{100}\)] = x

⇒ z = \(\frac{100x}{100-y}\)