Calculating Percentages

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Questions and Answers

If 35% of a number x is 140, determine the value of x.

  • 335
  • 300
  • 450
  • 400 (correct)

Determine 80% of 50% of 90.

  • 36 (correct)
  • 32
  • 34
  • 30

Given that 10% of 24% of x equals 240, solve for x.

  • 1000
  • 100000 (correct)
  • 10000
  • 100

If 30% of 50% of 85% of a certain amount totals 51, calculate the original amount.

<p>400 (C)</p> Signup and view all the answers

If 20% of 35% of a number is 240.8, then which of these accurately represents 18% of the same number, rounded to one decimal?

<p>621.2 (B)</p> Signup and view all the answers

Given that 40% of A is equivalent to 64% of B, determine the ratio of A to B.

<p>8 : 5 (A)</p> Signup and view all the answers

Express $\frac{1}{2}$ as a percentage of $\frac{2}{3}$.

<p>20% (D)</p> Signup and view all the answers

What percentage is 0.002 of 0.12?

<p>5/3% (A)</p> Signup and view all the answers

80 meters represent what percentage of 5 kilometers?

<p>1.6% (B)</p> Signup and view all the answers

12 hours is what percent of 3 days?

<p>16 2/3% (A)</p> Signup and view all the answers

What percentage does 0.4 ml represent of 5 liters?

<p>0.4 ml (C)</p> Signup and view all the answers

Determine the percentage by which 99 is less than 135.

<p>4% (C)</p> Signup and view all the answers

What percentage is 24 more than 20?

<p>35 (C)</p> Signup and view all the answers

Mahesh's salary grew from $200,000 to $240,000 annually. What percentage increase does this represent?

<p>20% (B)</p> Signup and view all the answers

An item's cost escalated from $2,500 to $3,000. Determine the percentage increase.

<p>20% (B)</p> Signup and view all the answers

Shantanu's income saw a drop from Rs 42,800 to Rs 37,236. What's the percentage decrease?

<p>13% (A)</p> Signup and view all the answers

An electric bike's price fell by 30% from an initial $125,000. Calculate the new price.

<p>$87,500 (B)</p> Signup and view all the answers

If a fraction changes from $\frac{4}{5}$ to $\frac{5}{6}$, what is the percentage increase to the quantity?

<p>4.17% (C)</p> Signup and view all the answers

Adding 20% to a number yields 240. What was that number originally?

<p>200 (B)</p> Signup and view all the answers

By what factor does one multiply a number to increase it by 50%?

<p>2400 (B)</p> Signup and view all the answers

Increasing a number by 50% results in 3930. Find the original number.

<p>2620 (C)</p> Signup and view all the answers

After reducing the price of an item by 24%, it sells for Rs.988. What was the original price?

<p>Rs.1300 (A)</p> Signup and view all the answers

How much higher is 50% of 60 than 30% of 40?

<p>15 (C)</p> Signup and view all the answers

20% of a number exceeds 20% of 530 by 180. What is the number?

<p>1430 (C)</p> Signup and view all the answers

What should one add to 20% of 460 to reach 70% of 920?

<p>552 (C)</p> Signup and view all the answers

Select the least value: (a) 12% of 625 (b) 15% of 555 (c) 10% of 720 (d) 9% of 845

<p>(a) (C)</p> Signup and view all the answers

Find 17$\frac{1}{2}$ % of 33$\frac{1}{3}$ % of 3$\frac{1}{4}$ % of 7200

<p>9.65 (C)</p> Signup and view all the answers

What is 18% of 15% of $\frac{25}{9}$ of 3800?

<p>285 (C)</p> Signup and view all the answers

Find the fraction that means equals 1$\frac{1}{5}$%.

<p>$\frac{1}{500}$ (C)</p> Signup and view all the answers

Two numbers exceed a third number by 17% and 50%, respectively. What is the ratio of the first two numbers?

<p>29: 25 (C)</p> Signup and view all the answers

If x% of 280 equals 15% of 240 added to 20% of 310, then find the numeral valvue represented by x.

<p>35 (A)</p> Signup and view all the answers

Which range contains the solution x, if 25% of 400 plus 35% of 1260 plus 27% of 1800 equals 1020 + x?

<p>16 to 20 (B)</p> Signup and view all the answers

Flashcards

What is Percentage?

Percentage refers to 'Per hundred', denoted by '%'. It represents a fraction with a denominator of 100.

How to find a percentage of a number?

To find y% of a number x, multiply x by y/100.

How to express x as a percentage of y?

Divide the part by the whole, then multiply by 100%.

How to find the percentage less or more?

Calculate the difference between y and x, divide by y, then multiply by 100%.

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How to calculate percent reduction for expenditures?

If the price of an item increased/decreased by x%, household must reduce the consumption so as not to increase the expenditure.

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How to find percentage increase in radius?

If a number is increased by x% then it is again increased by y%, then find next percentage.

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Salary Increase.

Increased salary from ₹2,00,000 to ₹2,40,000. Find the percentage increase in the salary.

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Price increase.

If the price of an item increased from ₹2,500 to ₹3,000 then calculate percentage of that increase.

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Percentage in Km.

80 meter is what percent of 5 km? To find that you need to transfer km to meters and then calculate percentage.

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Investment amount.

A invested 30% more than B, B invested 40% less than C, calculate the total amount invested by all of them together.

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Study Notes

  • Percentages relate to "Per hundred"
  • 37% means 37 out of 100

Percentage Notation

  • Denoted using '%' symbol

Calculating Percentage

  • If you need to find y% of a number x, it is calculated as (y/100) * x
  • Example: 30% of 600 is (30/100) * 600 = 180

Numerical Examples

  • Find the value of x, if 35% of x is 140
  • The answer is 400
  • What is 80% of 50% of 90?
  • The answer is 36

Solving for Unknowns

  • Calculate the value of x, given 10% of 24% of x is 240
  • The answer is 100000

Percentages of Sums

  • Sum's 85%’s 50%’s 30% is equal to 51
  • Find the amount: The value is 4

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