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

Question

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?

Accepted Answer

To solve this, let the third number Z be 100.

Based on the question:
Number X is 20 percent less than Z, so X is 80.
Number Y is 28 percent less than Z, so Y is 72.

Now, we need to find by what percentage Y is less than X.
The difference between X and Y is 8.
The percentage decrease is calculated by dividing the difference by X and multiplying by 100.
Calculation: 8 divided by 80 equals 0.1.
0.1 multiplied by 100 equals 10 percent.

Therefore, Y is 10 percent less than X. The correct option is C.

Answer

8%

Answer

9%

Answer

10%

Answer

12%

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?

Explanation

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