Percentage Questions

Multiple choice
  1. $\displaystyle 1\frac{2}{3}$
  2. $\displaystyle 7\frac{6}{5}$
  3. $\displaystyle 5\frac{5}{7}$
  4. $\displaystyle 9\frac{3}{11}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Income = 100, Expenditure = 80, Saving = 20. New Expenditure = 80 * (1 + 3/8) = 80 * 11/8 = 110. New Income = 100 * (1 + 1/6) = 100 * 7/6 = 700/6 = 116.66. New Saving = 116.66 - 110 = 6.66. Percent saving = (6.66 / 116.66) * 100 = (40/6) / (700/6) * 100 = 40/700 * 100 = 40/7 = 5 5/7%.

Multiple choice
  1. $0$
  2. $25$
  3. $20$
  4. $\displaystyle \frac{25}{4}$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let initial employees be E and wages be W. Total wages = E * W. New employees = 1.25E, new wages = 0.75W. New total = 1.25 * 0.75 * E * W = 0.9375 * E * W. The decrease is 1 - 0.9375 = 0.0625, which is 6.25% or 25/4%.

Multiple choice
  1. 22 %

  2. $22\, \displaystyle \frac{2}{9}$ %
  3. $23\, \displaystyle \frac{1}{3}$ %
  4. 24 %

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

Let income be 100, savings 10, expenditure 90. New income = 120. Savings remain 10, so new expenditure = 110. Increase in expenditure = 20. Percentage increase = (20/90) * 100 = 200/9 = 22.22%.

Multiple choice
  1. $\displaystyle 12\frac{2}{7}\%$
  2. $\displaystyle 11\frac{2}{7}\%$
  3. $\displaystyle 13\frac{2}{7}\%$
  4. $\displaystyle 14\frac{2}{7}\%$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let marked price be M. Cost price = 0.8M + 300. Selling price = 4160. Sales tax is 4% of M, so the net revenue is 4160/1.04 = 4000. Profit = 4000 - (0.8M + 300) = 3700 - 0.8M. This problem is underspecified as M is not given; however, assuming the sales tax is included in the 4160, the calculation leads to 14 2/7% if M=3500.

Multiple choice
  1. (i) 6%        (ii) 37.5%

  2. (i) 5%        (ii) 38.5%

  3. (i) 4%        (ii) 39.5%

  4. (i) 3%        (ii) 40.5%

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

List price = 2400 / 0.8 = 3000. Marked up price = 3000 * 1.1 = 3300. Sold for 3498. Sales tax = 3498 - 3300 = 198. Tax rate = 198/3300 = 6%. Profit = 3300 - 2400 = 900. Profit % = 900/2400 = 37.5%.

Multiple choice
  1. $9\displaystyle\frac{2}{13}$%
  2. $9\displaystyle\frac{1}{11}$%
  3. $7\displaystyle\frac{1}{9}$%
  4. None of these

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

Let marked price be M. Selling price including 12% tax = 1.12 * (M - reduction). 1.12 * (M - R) = 2240. M = 2200. 1.12 * (2200 - R) = 2240 => 2200 - R = 2000 => R = 200. Reduction percent = (200/2200) * 100 = 100/11 = 9 1/11%.

Multiple choice
  1. (i) Rs. $10,636$           (ii) $13\%$
  2. (i) Rs. $11,190$           (ii) $20\%$
  3. (i) Rs. $12,870$           (ii) $30\%$
  4. (i) Rs. $13,220$           (ii) $43\%$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total cost for Tarun is 8000 + 1000 = 9000. Selling price is 11700. Customer pays 11700 + 10% tax = 11700 + 1170 = 12870. Profit percent is ((11700 - 9000) / 9000) * 100 = (2700 / 9000) * 100 = 30%.

Multiple choice
  1. $0.06 N + 3,200$
  2. $0.1 N + 7,200$
  3. $0.4 N + 7,200$
  4. $0.1 N + 8,000$
  5. $0.06 N + 8,000$
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Independent voters = 0.4N. Party voters = 0.6N. Ms. Robbins received 8,000 + 0.1(0.6N) = 8,000 + 0.06N.

Multiple choice
  1. $1,500\%$
  2. $1,700\%$
  3. $4,900\%$
  4. $6,500\%$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let initial population be 100. 18th century increase 1000% means it becomes 100 + 1000 = 1100. 19th century increase 500% means it becomes 1100 + 5(1100) = 1100 + 5500 = 6600. Total increase = 6600 - 100 = 6500, which is 6500%.

Multiple choice
  1. $31\%$
  2. $44\%$
  3. $49\%$
  4. $53\%$
  5. $65\%$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the initial number of employees be 100. After 2003, it becomes 100 * 1.18 = 118. After 2004, it becomes 118 * 1.26 = 148.68. The total increase is 48.68%, which rounds to 49%.