Quadratic Equations, Percentage, Profit and Loss - Question Bank

1. Compare the values of x and y. If x^2 - 14x + 48 = 0 and y^2 - 16y + 60 = 0.
A) x > y
B) x < y
C) x = y
D) x >= y
2. Compare the values of x and y. If 2x^2 + 5x + 3 = 0 and 3y^2 + 7y + 4 = 0.
A) x > y
B) x < y
C) x = y
D) x >= y
3. If y^2 - 11y + 28 = 0, find the values of y.
A) 4 or 7
B) 3 or 7
C) 4 or 6
D) 5 or 7
4. If x^2 - 16x + 63 = 0, find the values of x.
A) 7 or 9
B) 6 or 9
C) 7 or 8
D) 5 or 9
5. The cost price of 16 items is equal to the selling price of 12 items. Find the profit percentage.
A) 25%
B) 30%
C) 33.33%
D) 40%
6. A person sells two articles for Rs. 1000 each. On one, he gains 20%, and on the other, he loses 20%. What is the net profit or loss percentage?
A) 4% loss
B) 4% profit
C) No profit, no loss
D) 2% loss
7. What is 30% of 180?
A) 54
B) 56
C) 58
D) 60
8. Compare the values of x and y. If x^2 - 15x + 54 = 0 and y^2 - 13y + 40 = 0.
A) x > y
B) x < y
C) x = y
D) x >= y
9. Compare the values of x and y. If 2x^2 - 9x + 9 = 0 and 3y^2 - 13y + 14 = 0.
A) x > y
B) x < y
C) x = y
D) x >= y
10. If y^2 - 19y + 90 = 0, find the values of y.
A) 9 or 10
B) 8 or 10
C) 9 or 11
D) 7 or 10
11. If x^2 - 13x + 42 = 0, find the values of x.
A) 6 or 7
B) 5 or 7
C) 6 or 8
D) 5 or 6
12. If the cost price of 10 books is equal to the selling price of 7 books, find the profit percentage.
A) 30%
B) 33.33%
C) 40%
D) 42.86%
13. A shopkeeper sells an item at a 10% profit. If he had sold it for Rs. 20 more, his profit would have been 15%. Find the cost price.
A) 300
B) 350
C) 400
D) 450
14. What is 80% of 250?
A) 180
B) 190
C) 200
D) 220
15. Compare the values of x and y. If x^2 - 11x + 30 = 0 and y^2 - 15y + 56 = 0.
A) x > y
B) x < y
C) x = y
D) x >= y
16. Compare the values of x and y. If 2x^2 - 7x + 6 = 0 and 3y^2 - 5y + 2 = 0.
A) x > y
B) x < y
C) x = y
D) x >= y
17. If y^2 - 14y + 49 = 0, find the value of y.
A) 7
B) 6
C) 8
D) 5
18. If x^2 - 20x + 100 = 0, find the value of x.
A) 10
B) 9
C) 11
D) 8
19. The cost price of 8 pens is equal to the selling price of 6 pens. Find the profit percentage.
A) 25%
B) 30%
C) 33.33%
D) 40%
20. A dealer sells a product for Rs. 1200 at a loss of 20%. What was the cost price?
A) 1400
B) 1500
C) 1600
D) 1800
21. If a salary is first increased by 10% and then decreased by 10%, what is the net percentage change?
A) 1% increase
B) 1% decrease
C) No change
D) 2% decrease
22. What is 45% of 160?
A) 68
B) 72
C) 76
D) 80
23. Compare the values of x and y. If x^2 - 13x + 40 = 0 and y^2 - 10y + 24 = 0.
A) x > y
B) x < y
C) x = y
D) x >= y
24. Compare the values of x and y. If 2x^2 + 11x + 12 = 0 and 3y^2 + 10y + 8 = 0.
A) x > y
B) x < y
C) x = y
D) x >= y
25. If y^2 - 16y + 64 = 0, find the value of y.
A) 8
B) 7
C) 9
D) 6
26. If x^2 - 22x + 121 = 0, find the value of x.
A) 11
B) 10
C) 12
D) 9
27. If the selling price of 15 items is equal to the cost price of 20 items, what is the profit percentage?
A) 25%
B) 30%
C) 33.33%
D) 40%
28. An article is sold for Rs. 540 at a profit of 20%. What was the cost price?
A) 400
B) 450
C) 480
D) 500
29. A shopkeeper marks up an item by 30% and then offers a discount of 10%. What is the net percentage change in price?
A) 17% increase
B) 17% decrease
C) 20% increase
D) 20% decrease
30. What is 75% of 120?
A) 80
B) 90
C) 100
D) 110
31. Compare the values of x and y. If x^2 - 10x + 21 = 0 and y^2 - 11y + 28 = 0.
A) x > y
B) x < y
C) x = y
D) x >= y
32. Compare the values of x and y. If 3x^2 - 14x + 8 = 0 and 2y^2 - 13y + 20 = 0.
A) x > y
B) x < y
C) x = y
D) x >= y
33. If y^2 - 18y + 81 = 0, find the value of y.
A) 9
B) 8
C) 10
D) 7
34. If x^2 - 15x + 56 = 0, find the values of x.
A) 7 or 8
B) 6 or 8
C) 7 or 9
D) 5 or 8
35. The cost price of 12 items is equal to the selling price of 10 items. What is the profit percentage?
A) 15%
B) 20%
C) 25%
D) 30%
36. A merchant buys goods for Rs. 800 and sells them for Rs. 960. Calculate his profit percentage.
A) 15%
B) 20%
C) 25%
D) 30%
37. If a price is increased by 25% and then decreased by 20%, what is the net percentage change?
A) 2% increase
B) 2% decrease
C) 5% increase
D) 5% decrease
38. What is 60% of 150?
A) 80
B) 90
C) 100
D) 110
39. Compare the values of x and y. If x^2 - 9x + 20 = 0 and y^2 - 12y + 32 = 0.
A) x > y
B) x < y
C) x = y
D) x >= y
40. Compare the values of x and y. If 2x^2 - 5x + 3 = 0 and 3y^2 - 7y + 4 = 0.
A) x > y
B) x < y
C) x = y
D) x >= y
41. If y^2 - 13y + 36 = 0, find the values of y.
A) 4 or 9
B) 3 or 9
C) 4 or 8
D) 5 or 9
42. If x^2 - 17x + 72 = 0, find the values of x.
A) 8 or 9
B) 7 or 9
C) 8 or 10
D) 6 or 9
43. The cost price of 10 articles is equal to the selling price of 8 articles. Find the profit percentage.
A) 20%
B) 25%
C) 30%
D) 35%
44. A shopkeeper buys an article for Rs. 400 and sells it for Rs. 480. What is his profit percentage?
A) 15%
B) 20%
C) 25%
D) 30%
45. If a number is increased by 20% and then decreased by 20%, what is the net percentage change?
A) 4% increase
B) 4% decrease
C) No change
D) 2% increase
46. What is 35% of 200?
A) 60
B) 70
C) 80
D) 90
47. Compare the values of x and y. If x^2 + 5x + 6 = 0 and y^2 + 7y + 12 = 0.
A) x > y
B) x < y
C) x = y
D) x >= y
48. Compare the values of x and y. If 2x^2 - 13x + 15 = 0 and 3y^2 - 10y + 8 = 0.
A) x > y
B) x < y
C) x = y
D) x >= y
49. If y^2 - 17y + 60 = 0, find the value of y.
A) 10 or 12
B) 5 or 12
C) 10 or 7
D) 5 or 7
50. If x^2 - 11x + 30 = 0, find the value of x.
A) 5 or 6
B) 6 or 7
C) 5 or 7
D) 4 or 6
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