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27 Feb 2026, 07:09
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
85% (02:30) correct
15%
(02:16)
wrong
based on 34
sessions
History
Date
Time
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Not Attempted Yet
A group of more than three friends, including Ana, Bruno, and Charles, won a sum of money. Ana received p percent of the total, Bruno received p+6 percent, and Charles received 15 percent. If Bruno received $120,000 more than Ana, how much did Charles receive?
A. $200,000
B. $240,000
C. $300,000
D. $360,000
E. $450,000
A. $200,000
B. $240,000
C. $300,000
D. $360,000
E. $450,000
27 Feb 2026, 09:51
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The key concept here is percent of a whole — specifically, recognising that the difference in percentages between two people directly translates to a difference in dollar amounts, without needing to find the actual value of p.
Step 1 — Identify what "p percent" and "(p+6) percent" mean
Ana receives p% of the total prize. Bruno receives (p+6)% of the total prize. The difference between their shares is exactly 6% of the total — notice that p cancels out completely. You don't need to know what p is.
Step 2 — Set up the equation using the dollar difference
Bruno received $120,000 more than Ana, and that gap represents 6% of the total prize pool.
6% × Total = $120,000
Total = $120,000 ÷ 0.06 = $2,000,000
Step 3 — Calculate Charles's share
Charles received 15% of the total.
15% × $2,000,000 = $300,000
Answer: C
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Common trap: Most students try to find the value of p first. They write equations like p + (p+6) + 15 = 100 and get stuck because there are other friends whose percentages are unspecified. The question never tells you the group's total share adds to 100% for just these three people — and you don't need it to. The moment you spot that Bruno − Ana = 6% of total, you're done.
Takeaway: Whenever two people receive x% and (x+k)% of the same total, their dollar difference equals exactly k% of that total — use that directly rather than chasing the individual percentage values.
(Kavya | 725 on GMAT Focus Edition)
Step 1 — Identify what "p percent" and "(p+6) percent" mean
Ana receives p% of the total prize. Bruno receives (p+6)% of the total prize. The difference between their shares is exactly 6% of the total — notice that p cancels out completely. You don't need to know what p is.
Step 2 — Set up the equation using the dollar difference
Bruno received $120,000 more than Ana, and that gap represents 6% of the total prize pool.
6% × Total = $120,000
Total = $120,000 ÷ 0.06 = $2,000,000
Step 3 — Calculate Charles's share
Charles received 15% of the total.
15% × $2,000,000 = $300,000
Answer: C
---
Common trap: Most students try to find the value of p first. They write equations like p + (p+6) + 15 = 100 and get stuck because there are other friends whose percentages are unspecified. The question never tells you the group's total share adds to 100% for just these three people — and you don't need it to. The moment you spot that Bruno − Ana = 6% of total, you're done.
Takeaway: Whenever two people receive x% and (x+k)% of the same total, their dollar difference equals exactly k% of that total — use that directly rather than chasing the individual percentage values.
(Kavya | 725 on GMAT Focus Edition)
