New SAT Math Workbook

A 290 b 200 c 90 d 260 e 240 a salesman receives

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Unformatted text preview: . What was the marked price? (A) $48.60 (B) $59.40 (C) $60 (D) $61.40 (E) $64 10. What single discount is equivalent to two successive discounts of 15% and 10%? (A) 25% (B) 24.5% (C) 24% (D) 23.5% (E) 23% www.petersons.com Verbal Problems Involving Percent 97 SOLUTIONS TO PRACTICE EXERCISES Diagnostic Test 1. (E) 30% = 3 10 6. (A) 40% = 2 5 2 · 80 = $32 off 5 3 · 100 = 30 books at $10 each 10 $48 net price 7 35% = 20 1 10 7 · 90 = $31.50 off 20 = $300 in sales 100 – 30 = 70 books at $15 each = $1050 in sales Total sales $300 + $1050 = $1350 $58.50 net price 10% = 1 · 58.50 = $5.85 off 10 $52.65 net price $52.65 – $48 = $4.65 was saved. 7. (D) 2% of $1500 = $30 3% of $2000 = $60 5% of $3000 = $150 6% of ($8000 – $6500) = 6% of $1500 = $90 Total profit $1350 – $1250 = $100 2. (C) 25% + 35% + 5% + 10% = 75% 100% – 75% = 25% for other expenses 25% = 3. 1 4 1 · $2000 = $500 4 (B) Amount of decrease = 200 200 1 2 Percent of decrease = = = 16 % 1200 6 3 Total tax = $330 8. (B) He earns 4% of $48. 48 × .04 $1.92 Add this to his base salary of $20: $21.92. 9. (C) 23 1 ⋅= 3 4 2 = 50% of the students will 2 4. (B) 62 1 5 %= 2 8 5 · 152 = 95 total wins needed 8 95 – 50 = 45 wins still needed 5. (A) 20% = 1 5 1 · 120 = 24 employees laid off 5 graduate from college. 10. (B) Total price is $5000. Percent of total that was options = 1800 9 = = 36% 5000 25 New number of employees = 96 12 1 1 %= 2 8 1 · 96 = 12 employees added to staff 8 Therefore, the final number of employees is 108. Net change is 120 – 108 = decrease of 12. www.petersons.com 98 Chapter 6 Exercise 1 1. (B) Amount of increase = $2500 Exercise 2 1. (A) 20% = 1 5 1 · 600 = $120 off 5 Percent of increase = [amount of increase/ original] 2500 1 = = 10% 25000 10 $480 net price 1 10% = 10 1 · 600 = $60 off 10 $540 first net price 1 · 540 = $54 off 10 2. (B) Amount of increase = 20,000 20, 000 1 Percent of increase = 80, 000 = = 25% 4 $486 net price Therefore, $6 is saved. 2. (C) 25% = 1 4 3. (D) Amount of decrease = $4 4 16 = = 16% 25 100 Percent of decrease = 4. (A) Amount of increase $30,000 30, 000 Percent of...
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