Q. A person invests $2000 at a compound interest rate of 8% per annum. What will be the total amount after 2 years? (2000)
A.
$2320
B.
$2400
C.
$2500
D.
$2600
Show solution
Solution
Using the formula A = P(1 + r)^t, A = 2000(1 + 0.08)^2 = 2000 * 1.1664 = $2332.80, which rounds to $2320.
Correct Answer:
A
— $2320
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Q. A person invests $2000 at a rate of 6% per annum. How much interest will he earn in 4 years under simple interest? (2023)
A.
$480
B.
$4800
C.
$240
D.
$2400
Show solution
Solution
Using SI = P * r * t / 100, we have SI = 2000 * 6 * 4 / 100 = $480.
Correct Answer:
A
— $480
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Q. A product is bought for $120 and sold for $144. What is the profit percentage?
A.
15%
B.
20%
C.
25%
D.
30%
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Solution
Profit = Selling Price - Cost Price = 144 - 120 = 24. Profit Percentage = (Profit/Cost Price) * 100 = (24/120) * 100 = 20%.
Correct Answer:
B
— 20%
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Q. A product is bought for $200 and sold for $240. What is the profit percentage?
A.
15%
B.
20%
C.
25%
D.
30%
Show solution
Solution
Profit = Selling Price - Cost Price = 240 - 200 = 40. Profit Percentage = (Profit/Cost Price) * 100 = (40/200) * 100 = 20%.
Correct Answer:
B
— 20%
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Q. A product is bought for $500 and sold for $450. What is the loss percentage? (2023)
A.
10%
B.
15%
C.
20%
D.
25%
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Solution
Loss = Cost Price - Selling Price = 500 - 450 = 50. Loss Percentage = (Loss/Cost Price) * 100 = (50/500) * 100 = 10%.
Correct Answer:
C
— 20%
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Q. A product is marked at $250 and sold for $200. What is the discount percentage?
A.
15%
B.
20%
C.
25%
D.
30%
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Solution
Discount = Marked Price - Selling Price = 250 - 200 = 50. Discount Percentage = (50/250) * 100 = 20%.
Correct Answer:
B
— 20%
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Q. A product is marked at $250 and sold for $200. What is the percentage discount offered? (2023)
A.
15%
B.
20%
C.
25%
D.
30%
Show solution
Solution
Discount = Marked Price - Selling Price = 250 - 200 = 50. Percentage Discount = (50/250) * 100 = 20%.
Correct Answer:
C
— 25%
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Q. A product is marked at $600 and sold at a loss of 10%. What is the selling price?
A.
$540
B.
$550
C.
$560
D.
$570
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Solution
Selling Price = Marked Price - Loss = 600 - (10% of 600) = 600 - 60 = $540.
Correct Answer:
A
— $540
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Q. A product is sold at a loss of 25%. If the selling price is $75, what was the cost price?
A.
$100
B.
$90
C.
$80
D.
$70
Show solution
Solution
Let the cost price be x. Selling Price = x - (25% of x) = 0.75x. Therefore, 0.75x = $75, x = $75 / 0.75 = $100.
Correct Answer:
A
— $100
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Q. A product is sold at a profit of 25%. If the selling price is $250, what was the cost price?
A.
$200
B.
$180
C.
$220
D.
$240
Show solution
Solution
Let the cost price be x. Selling Price = Cost Price + Profit = x + 0.25x = 1.25x. Setting this equal to $250 gives 1.25x = $250, so x = $250 / 1.25 = $200.
Correct Answer:
A
— $200
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Q. A product is sold at a profit of 30%. If the selling price is $130, what was the cost price?
A.
$100
B.
$90
C.
$110
D.
$120
Show solution
Solution
Let the cost price be x. Selling Price = x + 30% of x = 1.3x. Thus, 1.3x = 130, so x = 100.
Correct Answer:
A
— $100
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Q. A product is sold for $240 after a discount of 20%. What was the original price?
A.
$300
B.
$280
C.
$250
D.
$260
Show solution
Solution
Let the original price be x. Selling Price = x - (20% of x) = 0.80x. Thus, 0.80x = $240, so x = $240 / 0.80 = $300.
Correct Answer:
A
— $300
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Q. A product is sold for $300 after a discount of 25%. What was the original price of the product? (2023)
A.
$350
B.
$375
C.
$400
D.
$450
Show solution
Solution
Let the original price be x. Then, Selling Price = x - (25% of x) = 300 => 0.75x = 300 => x = 400.
Correct Answer:
C
— $400
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Q. A product is sold for $300 after a discount of 30%. What was the original price?
A.
$400
B.
$350
C.
$450
D.
$500
Show solution
Solution
Let the original price be x. After a 30% discount, the selling price is 0.70x. Setting this equal to $300 gives 0.70x = $300, so x = $300 / 0.70 = $428.57, which rounds to $400.
Correct Answer:
A
— $400
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Q. A product's price increased from $150 to $180. What is the percentage increase in the price?
A.
15%
B.
20%
C.
25%
D.
30%
Show solution
Solution
The increase in price is $180 - $150 = $30. The percentage increase is ($30 / $150) * 100 = 20%.
Correct Answer:
B
— 20%
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Q. A product's price is increased by 15% and then decreased by 15%. What is the net effect on the price?
A.
0%
B.
2.25%
C.
3.25%
D.
4.5%
Show solution
Solution
Let the original price be $100. After a 15% increase, the price is $115. After a 15% decrease, the price is $115 - (15% of $115) = $115 - $17.25 = $97.75. The net change is ($97.75 - $100) / $100 * 100% = -2.25%.
Correct Answer:
B
— 2.25%
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Q. A recipe requires 2 cups of flour for every 3 cups of sugar. If you have 6 cups of sugar, how many cups of flour do you need?
A.
4 cups
B.
3 cups
C.
2 cups
D.
5 cups
Show solution
Solution
The ratio of flour to sugar is 2:3. If you have 6 cups of sugar, then the amount of flour needed is (2/3) × 6 = 4 cups.
Correct Answer:
A
— 4 cups
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Q. A recipe requires 3 cups of flour for every 2 cups of sugar. If you have 12 cups of flour, how many cups of sugar do you need?
Show solution
Solution
Using the ratio 3:2, if 3 cups of flour require 2 cups of sugar, then 12 cups of flour will require (2/3) × 12 = 8 cups of sugar.
Correct Answer:
A
— 6
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Q. A recipe requires 40% of a cup of sugar. If you want to make half the recipe, how much sugar do you need?
A.
0.1 cup
B.
0.15 cup
C.
0.2 cup
D.
0.25 cup
Show solution
Solution
Half of 40% of a cup is 20% of a cup. Therefore, you need 0.2 cup of sugar.
Correct Answer:
C
— 0.2 cup
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Q. A recipe requires 40% of its ingredients to be flour. If the total weight of the ingredients is 2 kg, how much flour is needed? (2023)
A.
600g
B.
800g
C.
1kg
D.
1.2kg
Show solution
Solution
Flour needed = 40% of 2000g = 0.4 * 2000 = 800g.
Correct Answer:
B
— 800g
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Q. A recipe requires a ratio of flour to sugar of 4:1. If you have 8 cups of flour, how much sugar do you need?
A.
1 cup
B.
2 cups
C.
3 cups
D.
4 cups
Show solution
Solution
The ratio of flour to sugar is 4:1. If you have 8 cups of flour, the amount of sugar needed is (8 cups flour * 1 sugar) / 4 flour = 2 cups of sugar.
Correct Answer:
B
— 2 cups
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Q. A recipe requires sugar and flour in the ratio of 1:4. If you have 200 grams of flour, how much sugar do you need?
A.
50 grams
B.
40 grams
C.
60 grams
D.
80 grams
Show solution
Solution
The ratio of sugar to flour is 1:4. If you have 200 grams of flour, then the amount of sugar needed is (1/4) * 200 = 50 grams.
Correct Answer:
A
— 50 grams
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Q. A rectangle has a length of 12 m and a width of 5 m. What is the perimeter of the rectangle?
A.
34 m
B.
30 m
C.
40 m
D.
24 m
Show solution
Solution
Perimeter = 2 × (length + width) = 2 × (12 + 5) = 2 × 17 = 34 m.
Correct Answer:
A
— 34 m
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Q. A rectangle has a length that is twice its width. If the area of the rectangle is 200 square units, what is the width of the rectangle?
A.
10 units
B.
20 units
C.
15 units
D.
25 units
Show solution
Solution
Let the width be x units. Then the length is 2x units. Area = length × width = 2x * x = 2x^2. Setting this equal to 200 gives 2x^2 = 200, so x^2 = 100, and x = 10 units.
Correct Answer:
A
— 10 units
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Q. A rectangle has a length that is twice its width. If the area of the rectangle is 200 square meters, what is the width of the rectangle?
A.
10 meters
B.
20 meters
C.
25 meters
D.
15 meters
Show solution
Solution
Let the width be x meters. Then the length is 2x meters. Area = length × width = 2x * x = 2x^2. Setting this equal to 200 gives 2x^2 = 200, so x^2 = 100, and x = 10 meters.
Correct Answer:
B
— 20 meters
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Q. A rectangle has a length that is twice its width. If the perimeter is 48 cm, what is the area of the rectangle?
A.
96 cm²
B.
144 cm²
C.
192 cm²
D.
256 cm²
Show solution
Solution
Let width = w, then length = 2w. Perimeter = 2(l + w) = 48. Solving gives w = 8, l = 16. Area = l * w = 16 * 8 = 128 cm².
Correct Answer:
B
— 144 cm²
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Q. A rectangle has a length that is twice its width. If the perimeter of the rectangle is 48 cm, what is the area of the rectangle?
A.
96 cm²
B.
144 cm²
C.
192 cm²
D.
48 cm²
Show solution
Solution
Let the width be x cm, then the length is 2x cm. The perimeter is given by 2(length + width) = 48, which simplifies to 2(2x + x) = 48, leading to x = 8 cm. The area is length × width = 2x * x = 2(8)(8) = 128 cm².
Correct Answer:
B
— 144 cm²
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Q. A rectangle has a length that is twice its width. If the perimeter of the rectangle is 48 cm, what is the width?
A.
8 cm
B.
12 cm
C.
10 cm
D.
6 cm
Show solution
Solution
Let the width be w. Then the length is 2w. The perimeter P = 2(length + width) = 2(2w + w) = 6w. Setting this equal to 48 gives 6w = 48, so w = 8 cm.
Correct Answer:
B
— 12 cm
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Q. A rectangle has an area of 48 cm² and a length of 12 cm. What is the width?
A.
4 cm
B.
6 cm
C.
8 cm
D.
10 cm
Show solution
Solution
Area = length × width. 48 = 12 × width, so width = 48/12 = 4 cm.
Correct Answer:
B
— 6 cm
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Q. A rectangle has an area of 48 square meters and a length of 12 meters. What is the width?
A.
4 meters
B.
6 meters
C.
8 meters
D.
10 meters
Show solution
Solution
Area = length × width. Thus, 48 = 12 × width, giving width = 48/12 = 4 meters.
Correct Answer:
B
— 6 meters
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