Percentage Practice Question and Answer

Q:

If the population of a town is 12.000 and the population increases at the rate of 10% per annum, then find the population. after 3 years.

1022 0

  • 1
    15,972
    Correct
    Wrong
  • 2
    12,200
    Correct
    Wrong
  • 3
    11,200
    Correct
    Wrong
  • 4
    10,200
    Correct
    Wrong
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Answer : 1. "15,972"
Explanation :

To find the population after 3 years given that it increases at a rate of 10% per annum, you can use the formula for exponential growth:

๐‘ƒ=๐‘ƒ0ร—(1+๐‘Ÿ)๐‘›P=P0ร—(1+r)n

Where:

  • ๐‘ƒP = Population after ๐‘›n years
  • ๐‘ƒ0P0 = Initial population
  • ๐‘Ÿr = Rate of increase (in decimal form)
  • ๐‘›n = Number of years

Given:

  • ๐‘ƒ0=12,000P0=12,000 (Initial population)
  • ๐‘Ÿ=0.10r=0.10 (10% increase per annum)
  • ๐‘›=3n=3 (Number of years)

Substitute these values into the formula:

๐‘ƒ=12,000ร—(1+0.10)3P=12,000ร—(1+0.10)3

๐‘ƒ=12,000ร—(1.10)3P=12,000ร—(1.10)3

๐‘ƒ=12,000ร—(1.331)P=12,000ร—(1.331)

๐‘ƒ=15,972P=15,972

So, the population after 3 years would be approximately 15,972.


Q:

A shopkeeper bought 240 ton rice. He sold 4/5th is at 37.5% profit, then find at what percentage profit or loss he should sell remaining rice, so as to gain 25% on the whole transaction? 

1021 0

  • 1
    profit
    Correct
    Wrong
  • 2
    loss
    Correct
    Wrong
  • 3
    profit
    Correct
    Wrong
  • 4
    loss
    Correct
    Wrong
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Answer : 2. " loss"

Q:

A is 40 % more than B and B is 60% less than C. If C is 60 % more than D, then which of the following is true?

1018 0

  • 1
    C is 60 % more than B.
    Correct
    Wrong
  • 2
    B is 36 % less than D.
    Correct
    Wrong
  • 3
    D is 10.4 % more than A.
    Correct
    Wrong
  • 4
    A is 54 % less than C.
    Correct
    Wrong
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Answer : 2. "B is 36 % less than D."

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Answer : 2. "500"

Q:

If 20% of (A + B) = 30% of (A โˆ’ B), then what percentage of B is equal to A?

1016 0

  • 1
    400%
    Correct
    Wrong
  • 2
    300%
    Correct
    Wrong
  • 3
    500%
    Correct
    Wrong
  • 4
    100%
    Correct
    Wrong
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Answer : 3. "500%"

Q:

The sum of weights of A and B is 80 kg. 50% of A's weight is times the weight of B. Find the difference between their weights. 

1008 0

  • 1
    20 kg
    Correct
    Wrong
  • 2
    10 kg
    Correct
    Wrong
  • 3
    25 kg
    Correct
    Wrong
  • 4
    15 kg
    Correct
    Wrong
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Answer : 1. "20 kg"
Explanation :

Let's denote the weight of A as ๐‘ฅx kg and the weight of B as ๐‘ฆy kg.

Given:

  1. ๐‘ฅ+๐‘ฆ=80x+y=80 (Sum of weights of A and B is 80 kg)
  2. 0.5๐‘ฅ=56๐‘ฆ0.5x=65y (50% of A's weight is 5665 times the weight of B)

We can solve these two equations to find the values of ๐‘ฅx and ๐‘ฆy, and then calculate the difference between their weights.

From equation 2: 0.5๐‘ฅ=56๐‘ฆ0.5x=65y Multiply both sides by 2 to get rid of the fraction: ๐‘ฅ=56๐‘ฆร—2x=65yร—2 ๐‘ฅ=106๐‘ฆx=610y ๐‘ฅ=53๐‘ฆx=35y

Now substitute this expression for ๐‘ฅx into equation 1: 53๐‘ฆ+๐‘ฆ=8035y+y=80 83๐‘ฆ=8038y=80 Multiply both sides by 3883: ๐‘ฆ=80ร—38y=80ร—83 ๐‘ฆ=30y=30

Now that we have found the weight of B, we can find the weight of A using equation 1: ๐‘ฅ+30=80x+30=80 ๐‘ฅ=80โˆ’30x=80โˆ’30 ๐‘ฅ=50x=50

So, the weight of A is 50 kg and the weight of B is 30 kg.

Now, let's find the difference between their weights: Difference=Weight of Aโˆ’Weight of BDifference=Weight of Aโˆ’Weight of B Difference=50โˆ’30Difference=50โˆ’30 Difference=20Difference=20

Therefore, the difference between their weights is 20 kg.

Q:

A reduction of 20% in the price of sugar enables a housewife to purchase 6 kg. more for Rs. 240. What is the original price per kg. of sugar?

1008 1

  • 1
    Rs. 25 per kg
    Correct
    Wrong
  • 2
    Rs. 18 per kg
    Correct
    Wrong
  • 3
    Rs.15 per kg
    Correct
    Wrong
  • 4
    Rs. 10 per kg
    Correct
    Wrong
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Answer : 4. "Rs. 10 per kg "

Q:

In a company, there are 75% skilled workers and remaining ones are unskilled. 80% of skilled workers and 20% of unskilled workers are permanent. If number of temporary workers is 126, then what is the number of total workers?

1007 0

  • 1
    480
    Correct
    Wrong
  • 2
    510
    Correct
    Wrong
  • 3
    360
    Correct
    Wrong
  • 4
    377
    Correct
    Wrong
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Answer : 3. "360"

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