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If 125% of j is equal to 25% of k, 150% of k is equal to 50% [#permalink]

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07 Feb 2010, 20:00

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If 125% of j is equal to 25% of k, 150% of k is equal to 50% of l, and 175% of l is equal to 75% of m, then 20% of m is equal to what percent of 200% of j ?

Re: If 125% of j is equal to 25% of k, 150% of k is equal to 50% of l, and [#permalink]

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from question stem, we have: 125j = 25k 150k = 50L 175L = 75m then... 20m = (x/100)(200j) which is equal to 10m = xj we can solve the problem by working backwards. L = 75m/175 => L = 3m/7 k = 50*(3m/7)/150 => k = m/7 J = 25*(m/7)/125 => J = m/35

putting values into percentages, we have J = m/.35 now we can use the value of J in our last equation.

10m = x(m/.35) or 10m = xm/.35 where x = 35
_________________

If 125% of j is equal to 25% of k, 150% of k is equal to 50% of l, and 175% of l is equal to 75% of m, then 20% of m is equal to what percent of 200% of j ?

If 125% of j is equal to 25% of k, 150% of k is equal to 50% of l, and 175% of l is equal to 75% of m, then 20% of m is equal to what percent of 200% of j ?

A. 0.35 B. 3.5 C. 35 D. 350 E. 3500

We can create the following equations:

1.25j = 0.25k

1.5k = 0.5l

1.75l = 0.75m

We need to get m and j in terms the same variable.

Thus:

6(1.25j = 0.25k)

7.5j = 1.5k

Since 1.5k = 0.5l, we have:

7.5j = 0.5l

j = 0.5l/7.5 = 5l/75 = l/15

Thus, 200% of j = 2j = 2(l/15) = 2l/15

Looking at the third equation, we can get m in terms of l:

1.75l = 0.75m

m = 1.75l/0.75 = 175l/75 = 7l/3

Thus, 20% of m = (1/5)m = (1/5)(7l/3) = 7l/15.

We need to determine:

20% of m is equal to what percentage of 200% of j?

(7l/15)/(2l/15) x 100

7/2 x 100 = 3.5 x 100 = 350%

Answer: D
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Scott Woodbury-Stewart Founder and CEO

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