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The following question has three statements. Study the question and the statements and decide which of the statement(s) is necessary to answer the question. X, Y and Z are three positive numbers, such that X < Y < Z. By what percentage should X be increased so that it becomes equal to Z? Statement I. When X is increased by 25, it becomes 50% of Z. Statement  II. When X is multiplied by 1.8, it becomes 80% of Z. Statement  III. When Z is divided by 3, it becomes 75% of X.

The following question has three statements. Study the question and the statements and decide which of the statement(s) is necessary to answer the question. X, Y and Z are three positive numbers, such that X < Y < Z. By what percentage should X be increased so that it becomes equal to Z? Statement I. When X is increased by 25, it becomes 50% of Z. Statement  II. When X is multiplied by 1.8, it becomes 80% of Z. Statement  III. When Z is divided by 3, it becomes 75% of X. Correct Answer Either II or III

Considering statement I,

⇒ X + 25 = 50% of Z

Not enough information

Considering statement II,

⇒ X × 1.8 = 80% of Z

⇒ (9/5)X = (4/5)Z

⇒ (9/4)X = Z

⇒ 225% of X = Z

⇒ X should be increased by 225 - 100 = 125% to make it equal to Z

Considering statement III,

⇒ Z/3 = 75% of X

⇒ Z = (9/4)X

⇒ Z = 225% of X

⇒ X should be increased by 225 - 100 = 125% to make it equal to Z

∴ The question can be answered using either statement II or III

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