Fractions and Percentages

Let one part = x, other = 1700 - x. Equation: 0.3x - 0.25(1700 - x) = 70. Simplifying: 0.3x - 425 + 0.25x = 70, so 0.55x = 495, giving x = 900. Other part = 1700 - 900 = 800. Verification: 30% of 900 = 270, 25% of 800 = 200, difference = 70.

First multiply: 0.003 × 0.07 = 0.00021. To convert to percentage, multiply by 100: 0.00021 × 100 = 0.021%. Common errors come from miscounting decimal places - option A forgets to multiply by 100, option C shifts one place, option D shifts two places, and option E shifts three places.

To find 12% of 600, calculate (12/100) * 600, which equals 12 * 6 = 72. 75, 120, and 126 are incorrect values that do not satisfy the percentage calculation.

To find what percent 30 is of 360, calculate (30/360) × 100 = (1/12) × 100 = 8.33%. The decimal form is 0.0833. The claimed answer D is correct. Options A (12%), B (15%), and C (24%) are incorrect calculations.

Earth's atmosphere contains approximately 20.946% oxygen by volume, making nitrogen the most abundant gas at about 78%. The other values (16.676%, 29.836%, 11.238%) are incorrect. This is a fundamental fact in atmospheric science and chemistry.

To find 30% of 1986, multiply 1986 by 0.30. 1986 * 0.3 = 595.8. The calculation is straightforward and matches option 381919.

To find 1% of any number, divide the number by 100 or move the decimal point two places to the left. 1354 ÷ 100 = 13.54. This is a fundamental percentage calculation.

To make a number 10% smaller, multiply by 0.90 (which is 100% - 10%). This gives you 90% of the original value. Option A (=C3*1.10) would make it 10% larger, not smaller. Option C (=C3%10) is incorrect Excel syntax for percentage calculations.

A = x% of y = (x/100) * y = xy/100. B = y% of x = (y/100) * x = xy/100. Since both expressions equal xy/100, A = B.

Let the fractions be x and y with x > y. Given xy = 14/15 and x/y = 35/24. From x/y = 35/24, we get x = (35/24)y. Substituting: (35/24)y² = 14/15, so y² = (14/15) × (24/35) = 16/25, giving y = 4/5. Then x = (35/24) × (4/5) = 7/6.

Since x% of y means (x/100) × y = xy/100, and y% of x means (y/100) × x = xy/100, both expressions simplify to the same value. Therefore A equals B regardless of the values of x and y.

To solve this problem, the user needs to know basic arithmetic and the concept of percentages and division. The user must multiply 1000 by 45%, then divide the result by 10.

First, let's calculate 1000 multiplied by 45%: 1000 x 45% = 1000 x 0.45 = 450

Next, let's divide 450 by 10: 450 / 10 = 45

Therefore, the answer is 45, which is option B.

Option A (35) is incorrect because it is not the correct result of the calculation.

Option B (45) is correct because it is the result of the calculation.

Option C (3.5) is incorrect because it is not the correct result of the calculation.

Option D (4.5) is incorrect because it is not the correct result of the calculation.

The Answer is: B. 45

Let the number be x. "Exceeds 20% of itself by 40" means x = 0.2x + 40. Solving: 0.8x = 40, so x = 50.

60% of 120 means 60/100 × 120. Simplify: 0.60 × 120 = 72. You can also calculate it as 60% of 100 = 60 plus 60% of 20 = 12, giving 72 total.