# math

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if X is 10% of two other numbers,Y and Z,and Z is 3 times the value of Y.What percentage is X of Y alone ? please show me how you work it out,thanks

• math -

given: Z = 3Y

Do you mean X is 10% of the sum of Y and Z ??

If so, then
X = (1/10) (Z + Y)
= Z/10 + Y/10
= 3Y/10 + y/10
= 4Y/10

percentage of X/Y
= (4Y/10) / Y
= 4/10 = 40/100 = 40%

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