If 69% of k is 23, Approximately How Much is 23% of k? GMAT Problem Solving

Question: If 69% of k is 23, approximately how much is 23% of k?

1. 11.11
2. 10.59
3. 8.33
4. 7.67
5. 6.67

“If 69% of k is 23, approximately how much is 23% of k?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide Quantitative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.

Answer:

Approach Solution 1

As it is given that 69% of k is 23

Since 23% is \(\frac{1}{3}\) of 69%

Then 23% of k will be = \(\frac{1}{3}\) of 23: \(\frac{1}{3}\) * 23 7.67

Correct option: D

Approach Solution (2):

From the prompt:

\(\frac{69}{100}*k=23\)

1- Multiply both sides by 100

69k = 23 (100)

2- Divide both sides by 23

3k = 100

3- Divide both sides by 3

k = \(\frac{100}{3}\)

The question asks what is 23% of k, to solve this, let’s multiply the value of k ( \(\frac{100}{3}\) ) by \(\frac{23}{100}\)

\(\frac{23}{(100)}\frac{100}{(3)}=\frac{23}{3}=7=\frac{2}{3}\)

The hundreds cancel and we get 7 and \(\frac{2}{3}\) which is roughly 7.67

Correct option: D

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