Percentage Problems
1. Problem: 30 is 20% of what number?
We need to find the number $x$ such that $20\%$ of $x$ is 30.
2. Express mathematically:
$$0.20 \times x = 30$$
3. Solve for $x$:
$$x = \frac{30}{0.20} = 150$$
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4. Problem: What percent of 80 is 20?
Find percentage $p$ such that $p\%$ of 80 equals 20.
5. Express mathematically:
$$\frac{p}{100} \times 80 = 20$$
6. Solve for $p$:
$$p = \frac{20 \times 100}{80} = 25$$
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7. Problem: A shirt originally costs 500 and has a 20% discount. Find the discount amount.
8. Calculate discount:
$$\text{discount} = 20\% \times 500 = 0.20 \times 500 = 100$$
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9. Problem: A student scored 45 out of 60. What percent did the student score?
10. Calculate percentage:
$$\text{percent} = \frac{45}{60} \times 100 = 75\%$$
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11. Problem: A bag costs 1200 with a 25% discount. Find the sale price.
12. Calculate discount:
$$\text{discount} = 25\% \times 1200 = 0.25 \times 1200 = 300$$
13. Sale price:
$$1200 - 300 = 900$$
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14. Problem: A jacket originally priced 1500 offered at 10% discount. Find discount amount.
15. Calculate discount:
$$10\% \times 1500 = 0.10 \times 1500 = 150$$
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16. Problem: A bicycle is priced 4000 with 15% discount. Find sale price.
17. Calculate discount:
$$15\% \times 4000 = 0.15 \times 4000 = 600$$
18. Calculate sale price:
$$4000 - 600 = 3400$$
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19. Problem: What is the value of $3^2$?
20. Calculate:
$$3^2 = 9$$
Final answers:
12: $150$
13: $25\%$
14: $100$
15: $75\%$
16: $900$
17: $150$
18: $3400$
19: $9$