Percentage Questions

Multiple choice
  1. $50\%$
  2. $66\dfrac{2}{3}\%$
  3. $80\%$
  4. $75\%$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let M and F be male and female populations in 2001. 2002: Males = 0.75M, Females = 1.2F. Females are 4/9 of total: 1.2F / (0.75M + 1.2F) = 4/9. 10.8F = 3M + 4.8F. 6F = 3M, so M = 2F. Total population = 3F. Males were 2F/3F = 2/3 = 66.67%.

Multiple choice
  1. $1650$
  2. $1700$
  3. $1750$
  4. $1800$
  5. $1850$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The population grows by 50 percent every 50 years, meaning it is multiplied by 1.5. Working backward from 1950 (810), we divide by 1.5: 810 / 1.5 = 540 (1900), 540 / 1.5 = 360 (1850), 360 / 1.5 = 240 (1800), 240 / 1.5 = 160 (1750).

Multiple choice
  1. 16.29 %

  2. 15.29 %

  3. 14.29 %

  4. 13.29 %

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let total cost be C. Original share = C/8. New share = C/7. Increase = (C/7 - C/8) / (C/8) = (1/56) / (1/8) = 8/56 = 1/7 = 14.2857%.