# Percent - Grade 6 Math Questions and Problems With Solutions and Explanations

Detailed solutions and full explanations to grade 6 percent questions are presented.

 30% of 30 = Solution 30% of 30 is written as 30% × 30 = (30 / 100) × 30 = 900 / 100 = 9 150% of 60 = Solution 150% of 60 is written as 150% × 60 = (150 / 100) × 60 = (150 × 60) / 100 = 90 1/4 = 4% 1% 0.25% 25% Solution We need to change the fraction 1 / 4 into a fraction with denominator 100 which is a percent 1 / 4 = (1 × 25) / (4 × 25) = 25 / 100 = 25% 0.05 = 50% 500% 5% 0.5% Solution We need to change the decimal number 0.05 into a fraction with denominator 100 which is a percent 0.05 = 0.05 / 1 = (0.05 × 100) / (1 × 100) = 5 / 100 = 5% If 100% of a number is 15, what is 50% of the number? Solution Let n be the number 100% of a number is 15 is written as: 100% × n = 15 100% = 100 / 100 = 1 Hence 100% × n = n = 15 We now need to find 50% of the number 50% of 15 = (50 / 100) × 15 = 750 / 100 = 7.5 NOTE that the above problem could be solved by noting that 50% of something is half of 100% of the same thing. Hence if 100% of something is 15 then 50% of the same thing is haflf of 15 / 2 = 7.5 If 10% of a number is 7, what is 80% of the number? Solution Note that 80% of something is 8 times 10% of the same thing. Hence if 10% of a number is 7 then 80% of the same number is given by 8 × 7 = 56 Which is the greatest? 90% of 10 6% of 1000 5% of 1400 3% of 2500 Solution Express as fractions with same denominator 100 and then compare 90% of 10 = (90 / 100) × 10 = 900 / 100 6% of 1000 = (6 / 100) × 1000 = 6000 / 100 5% of 1400 = (5 /100) × 1400 = 7000 / 100 3% of 2500 = (3 / 100) × 2500 = 7500 / 100 The largest fraction is 7500 / 100 which correspond to 3% of 2500. Hence 3% of 2500 is the largest. The original price of a toy was \$15. If the price is reduced by 20%, what is the new price of the toy? Solution 20% of price is 20% × 15 = \$3 The original price was \$15 and was reduced by 20% or \$3. Hence the new price after reduction is 15 - 3 = \$12 George bought a car at \$5000 and sold it at \$5500. What benefit, in percent, did he make? Solution The benefit in dollars is \$5500 - \$5000 = \$500 Express \$500 as a percent of \$5000 as follows 500 / 5000 = 5 / 50 = 10 / 100 = 10% If 20% of n is equal to 40, what is n? Solution "20% of n is equal to 40" is written as 20% × n = 40 (20 / 100) × n = 40 Rewrite the above with fraction on the right side with denominator equal to 100 20 n / 100 = 40 / 1 = 4000 / 100 Since the two fractions have same denominator and are equal, their numerator must be equal. Hence 20 n = 4000 which means that n = 200. 200 2000 800 80 The price of a T-shirt was \$20. It was first increased by 20%. They did not sell well the shop owner decreased the price by 20%. What is the new price of the T-shirt? \$20 \$22 \$21 \$19.20 What percent of 1 hour is 15 minutes? 50% 15% 75% 25%

Answers to the Above Questions

1. C
2. D
3. D
4. C
5. A
6. B
7. D
8. A
9. B
10. A
11. D
12. D

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