What Percent of A Half Dollar is A Penny, A Nnickel, and A Dime? GMAT Problem Solving

Question: What percent of a half dollar is a penny, a nickel, and a dime? (A penny is worth 1 cent. A nickel is worth 5 cents. A dime is worth 100 cents.)

1. 8
2. 16
3. 20
4. 25
5. 32

Answer:
Approach Solution (1):
A penny + A nickel + A dime = 1 + 5 + 10 = 16 cents
Half a dollar = 50 cents
\({Percentage\over 100}*Total =Portion\)
The total = 50 cents and the portion is 16 cents
Therefore percentage =\({16\over 50}*100=32\%\)
Correct option: E

Approach Solution (2):
1 Dollar = 100 cents
Half a dollar : 50 cents
A penny is worth 1 cent + A nickel is worth 5 cents + A dime is worth 10 cents = 16 cents
\({16\over 50}*100=32\%\)
Correct option: E

Approach Solution (3):
1 + 5 + 10 = 16 pence
Half a dollar = 50 pence
\({16\over 50}*100=32\%\)
Correct option: E

“What percent of a half dollar is a penny, a nickel, and a dime? (A penny is worth 1 cent. A nickel is worth 5 cents. A dime is worth 100 cents.)”- 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.

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