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# If a is K percent of b, then b is what percent of 0.1a?

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Manager
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If a is K percent of b, then b is what percent of 0.1a?  [#permalink]

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18 Mar 2018, 12:05
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Difficulty:

55% (hard)

Question Stats:

50% (01:44) correct 50% (01:45) wrong based on 47 sessions

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If a is K percent of b, then b is what percent of 0.1a?

(A) 1/K
(B) 10/K
(C) 100/K
(D) 10,000/K
(E) 100,000/K

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Re: If a is K percent of b, then b is what percent of 0.1a?  [#permalink]

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18 Mar 2018, 12:12
itisSheldon wrote:
If a is K percent of b, then b is what percent of 0.1a?

(A) 1/K
(B) 10/K
(C) 100/K
(D) 10,000/K
(E) 100,000/K

Assume a=10, K=10 and b=100

Now, we are asked 100 is what percentage of 0.1(10) = 1
b is nothing but 100 times or 10000% the value of a.

Evaluating answer options, with K = 10

(A) 1/K = 1/10
(B) 10/K = 1
(C) 100/K = 10
(D) 10,000/K = 1000

(E) 100,000/K = 10000% (Option E)
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Re: If a is K percent of b, then b is what percent of 0.1a?  [#permalink]

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18 Mar 2018, 12:13
If a is K percent of b, then b is what percent of 0.1a?

let's say a = 100 : K = 20 : B = 500

0.1a = 10

so the question is 500 is what percent of 10?

500 is 5000% of 10

(A) 1/K -> 1/20 : no too less
(B) 10/K : 10/20: no
(C) 100/K : 100/20 = 5 no
[(D) 10,000/K : 10,000/20 = 500 - no
(E) 100,000/K : 100,000/20 = 5000 Yes
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Re: If a is K percent of b, then b is what percent of 0.1a?  [#permalink]

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25 Mar 2018, 21:21
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itisSheldon wrote:
If a is K percent of b, then b is what percent of 0.1a?

(A) 1/K
(B) 10/K
(C) 100/K
(D) 10,000/K
(E) 100,000/K

Given : $$a = \frac{K}{100} * b$$ (a is K percent of b) ----- 1
solving this equation we get $$\frac{a}{b}=\frac{K}{100}$$

Let b be ' X ' percent of 0.1a

$$b = \frac{X}{100}* [0.1a]$$ ----- 2

Rearranging
$$\frac{b}{a} = \frac{X*0.1}{100}$$

putting values of b/a from equation 1

XK = 100000

Therefore X = $$\frac{100000}{K}$$

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Re: If a is K percent of b, then b is what percent of 0.1a? &nbs [#permalink] 25 Mar 2018, 21:21
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