Two numbers X and Y are respectively 20% and 28% less than a third number Z. By what percentage is the number Y less than the number X ?

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  1. 12%
  2. 10%
  3. 9%
  4. 8%

Answer (Detailed Solution Below)

Option 2 : 10%
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Detailed Solution

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Given:

Two numbers X and Y are respectively 20% and 28% less than a third number Z.

Formula Used:

Percentage less formula: (X - Y)/(X) × 100

Calculation:

Let the value of Z be 100

X is 20% less than Z

⇒ 100 × (100 - 20)/100

⇒ 80

Y is 28% less than Z

⇒ 100 × (100 - 28)/100

⇒ 72

According to the question,

⇒ (80 - 72)/(80) × 100

⇒ 10%

∴ The number Y is 10% less than the number X.

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