Percentage Practice Question and Answer
8 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.
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6426e27c72ca731a990e28e2- 115,972true
- 212,200false
- 311,200false
- 410,200false
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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=๐0ร(1+๐)๐P=P0ร(1+r)n
Where:
- ๐P = Population after ๐n years
- ๐0P0 = Initial population
- ๐r = Rate of increase (in decimal form)
- ๐n = Number of years
Given:
- ๐0=12,000P0=12,000 (Initial population)
- ๐=0.10r=0.10 (10% increase per annum)
- ๐=3n=3 (Number of years)
Substitute these values into the formula:
๐=12,000ร(1+0.10)3P=12,000ร(1+0.10)3
๐=12,000ร(1.10)3P=12,000ร(1.10)3
๐=12,000ร(1.331)P=12,000ร(1.331)
๐=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?
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606d5e37affa2d5265b80ba4- 1false
profit - 2true
loss - 3false
profit - 4false
loss
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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?
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6051c855a37d522d6c152063- 1C is 60 % more than B.false
- 2B is 36 % less than D.true
- 3D is 10.4 % more than A.false
- 4A is 54 % less than C.false
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Answer : 2. "B is 36 % less than D."
Q: In a college 12% of all the students are interested in sports, 10% of the total students are interested in singing and three-fourth of the total students are interested in dancing and remaining 15 students are not interested in any activity, How many total students are there in the college?
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631093297c72c07784689974- 1450false
- 2500true
- 3600false
- 4None of thesefalse
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Answer : 2. "500"
Q: If 20% of (A + B) = 30% of (A โ B), then what percentage of B is equal to A?
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64b503ad88d5e4f52dd1b286- 1400%false
- 2300%false
- 3500%true
- 4100%false
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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 064ccef6ba919c8488e304799
64ccef6ba919c8488e304799- 120 kgtrue
- 210 kgfalse
- 325 kgfalse
- 415 kgfalse
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Answer : 1. "20 kg"
Explanation :
Let's denote the weight of A as ๐ฅx kg and the weight of B as ๐ฆy kg.
Given:
- ๐ฅ+๐ฆ=80x+y=80 (Sum of weights of A and B is 80 kg)
- 0.5๐ฅ=56๐ฆ0.5x=65y (50% of A's weight is 5665 times the weight of B)
We can solve these two equations to find the values of ๐ฅx and ๐ฆy, and then calculate the difference between their weights.
From equation 2: 0.5๐ฅ=56๐ฆ0.5x=65y Multiply both sides by 2 to get rid of the fraction: ๐ฅ=56๐ฆร2x=65yร2 ๐ฅ=106๐ฆx=610y ๐ฅ=53๐ฆx=35y
Now substitute this expression for ๐ฅx into equation 1: 53๐ฆ+๐ฆ=8035y+y=80 83๐ฆ=8038y=80 Multiply both sides by 3883: ๐ฆ=80ร38y=80ร83 ๐ฆ=30y=30
Now that we have found the weight of B, we can find the weight of A using equation 1: ๐ฅ+30=80x+30=80 ๐ฅ=80โ30x=80โ30 ๐ฅ=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 AโWeight of BDifference=Weight of AโWeight of B Difference=50โ30Difference=50โ30 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?
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60f7e536ef8c4b405cab40e1- 1Rs. 25 per kgfalse
- 2Rs. 18 per kgfalse
- 3Rs.15 per kgfalse
- 4Rs. 10 per kgtrue
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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?
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60585e6819447609ff02c0c5- 1480false
- 2510false
- 3360true
- 4377false
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