Percentage

Percentage

  • PCT Practice DS Set – 3

    [mq] DS: Percentage – Level 3 1. In a group of tourists, 40% speak French and 30% speak Spanish. What percent speak BOTH French and Spanish? (1) 10% of the tourists speak neither French nor Spanish. (2) There are 100 tourists in the group. A. Statement (1) ALONE is sufficient, but statement (2) alone is…

  • PCT Practice DS Set – 2

    [mq] DS: Percentage – Level 2 1. Did the price of the stock increase by more than 10%? (1) The price increased by $5. (2) The original price was less than $40. A. Statement (1) ALONE is sufficient, but statement (2) alone is not. B. Statement (2) ALONE is sufficient, but statement (1) alone is…

  • PCT Practice DS Set – 1

    [mq] DS: Percentage – Level 1 1. What is the value of \(x\)? (1) 40% of \(x\) is 20. (2) 50% of \(x\) is 25. A. Statement (1) ALONE is sufficient, but statement (2) alone is not. B. Statement (2) ALONE is sufficient, but statement (1) alone is not. C. BOTH statements TOGETHER are sufficient,…

  • PCT Practice Set – 6

    [mq] Percentage: Level 6 1. Tom’s income is 25% more than Jerry’s. Jerry’s income is 20% less than Spike’s. Spike decides to give \(x\%\) of his income to Jerry so that Jerry’s new income is equal to Tom’s income. What is the value of \(x\)? 20% 25% 15% 10% 12.5% Check Solution (A): Let Spike…

  • PCT Practice Set – 5

    [mq] Percentage: Level 5 1. The kinetic energy \(K\) of an object is given by the formula \(K = \frac{1}{2}mv^2\). If the mass \(m\) is increased by 20% and the velocity \(v\) is decreased by 10%, what is the percent change in the kinetic energy? +2.8% -2.8% +8% -8% No change Check Solution (B): Let…

  • PCT Practice Set – 4

    [mq] Percentage: Level 4 1. A library has 200 books, 30% of which are non-fiction. The library receives a donation of 300 new books. After the donation, 40% of the total collection is non-fiction. What percent of the **newly donated** books are non-fiction? 40% 43.3% 46.6% 50% 60% Check Solution (C): 1. Original: 200 books….

  • PCT Practice Set – 3

    [mq] Percentage: Level 3 1. If \(x\) is \(0.5\%\) of \(y\), then \(y\) is what percent of \(x\)? 200% 2,000% 199% 19,900% 20,000% Check Solution (E): \(x = \frac{0.5}{100}y = 0.005y\). Solving for \(y\): \(y = \frac{x}{0.005} = \frac{1000x}{5} = 200x\). As a percentage: \(200 \times 100\% = 20,000\%\). 2. If Mary has half as…

  • PCT Practice Set – 2

    [mq] Percentage: Level 2 1. If 150 is increased by 60% and then decreased by \(y\) percent, the result is 192. What is \(y\)? 10 15 20 25 30 Check Solution (C): 1. First increase: \( 150 \times 1.60 = 240 \). 2. The number becomes 240. Now it decreases to 192. 3. Decrease amount…