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If x is 20 percent more than y and y is 50 percent less than

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by Max@Math Revolution » Mon May 02, 2016 4:16 am
If x is 20 percent more than y and y is 50 percent less than z, then x is what percent of z?

A. 500%
B. 250%
C. 500/3%
D. 125%
E. 60%


* A solution will be posted in two days.
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by OptimusPrep » Mon May 02, 2016 7:45 pm
Max@Math Revolution wrote:If x is 20 percent more than y and y is 50 percent less than z, then x is what percent of z?

A. 500%
B. 250%
C. 500/3%
D. 125%
E. 60%


* A solution will be posted in two days.
Since x and z are given in terms of z, we should assume the value of y to solve the question.
Assume y = 100,
Hence x = 120 and z = 200

(120/200) * 100 = 60%

Correct Option: E
Last edited by OptimusPrep on Wed May 04, 2016 7:21 pm, edited 1 time in total.
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by Max@Math Revolution » Wed May 04, 2016 6:49 am
From the question, we get x=1.2y and y=0.5z. By substitution, we can get x=1.2y=1.2(0.5)z=0.6z. Hence, the answer is 60% and E is the correct answer choice.

- Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.
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