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Percentage Test - 1

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Percentage Test - 1
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  • Question 1
    1 / -0

    A tank can hold 80 litres of oil. At present, it is only 45% full. How many litres of oil shall Ramesh put into the tank so that it becomes 70% full?

    Solution

    Total quantity of oil a tank can hold = 80 litres

     Quantity of oil at present = 45%

    = 45 / 100 × 80

    = 9 × 4

    = 36 litres

    Hence, 45% of the total capacity = 36 litres

    70% of the total capacity = 70 / 100 × 80

    = 7 × 8

    = 56 litres

    Hence, oil required filling the tank to 70% = (56 – 36) litre

    = 20 litres

    Therefore, 20 litres of oil is required to fill the tank to 70% full

  • Question 2
    1 / -0

    Express in percentage form.  18 bananas out of 72 are good .

    Solution

    The statement in the percentage form is shown below

    18 / 72 × 100 

    = 25%

    Hence, 25% of bananas are good

  • Question 3
    1 / -0

    In a summer camp, there were 360 participants . 90 more participants joined them. What percent of the earlier (original) number have joined the camp.

    Solution

    Total number of participants in the summer camp = 360 + 90 = 450 soldiers

    Number of original participants joined the camp = 360 

    So, percentage of soldiers joining the camp as per the earlier strength

    = 360 / 450 × 100

    = 4 X 20

    We get,

    = 80% 

    Therefore, 80% of participants joined the summer camp initially in the starting.

  • Question 4
    1 / -0

    Convert 450%  into fraction in their lowest term.

    Solution

    450%

    Fractions in its least form is shown below

    450 / 100 = 45 / 10

    On further calculation, we get

    = 9 / 2

    =  4(1/2)

  • Question 5
    1 / -0

    Express 17 out of 25 in the percentage form. 

    Solution

    17 out of 25

    The statement in the percentage form is shown below

    17 / 25 × 100 

    = 17 × 4

    = 68% 

  • Question 6
    1 / -0

    The price of a car was Rs 125000 in 1985. It came down to Rs 100000 in 1990. By what percent had the price of the car came down?

    Solution

    Price of a car in 1985 = Rs 125000

    Price of a car in 1990 = Rs 100000

    So, reduction in the price = Rs 125000 – Rs 100000

    = Rs 25000

    Hence, percent decrease in price

    = 25000 / 125000 × 100

    = 20%

    We get,

    = 20%

    Therefore, the price of the car reduced by 20%

  • Question 7
    1 / -0

    In a sale, the price of a product is reduced by 45%. If the original price of the article is Rs 2700, find the  reduced price of the product.

    Solution

    The reduction in the price of the product

    Original price of an product = Rs 2700

    The price of the product reduced by = 45%

    Hence, reduction in the price = 45 / 100 × 2700

    = 45 × 27

    = 1215

    Therefore, the price of the product is reduced by Rs 1215

    Now, reduced price of the product

    Original price of the product = Rs 2700

    Reduction in price = Rs 1215

    Hence, the final price = Rs (2700 – 1215)

    = Rs 1485

    Therefore, the final price of the product is Rs 1485

  • Question 8
    1 / -0

    The price of tomatoes rises from Rs 30 per kg to Rs 42 per kg. Find the percentage rise in the price of tomatoes. 

    Solution

    Initial price of tomatoes = Rs 30

    Price increased in tomatoes = Rs 42

    So, the percent increase in price

    = 12/ 30 × 100

    = (4 × 10) 

    We get,

    = 40%

    Therefore, the price of tomatoes increased by 40%

  • Question 9
    1 / -0

    Evaluate: 15% of 350 + 30% of 280 – 21% of 550.

    Solution

    15% of 350 + 30% of 280  – 21% of 550

    = (15 / 100 × 350) + (30 / 100 × 280) – (21 / 100 × 550)

    = (30 × 2) + (2 × 45) – (25 × 6)

    We get,

    = 52.5 + 84 – 115.5

    = 136.5 – 115.5

    = 21

  • Question 10
    1 / -0

    Convert 65%  into fraction in their lowest term. 

    Solution

    (iii) 65%

    Fractions in its least form is shown below

    65 / 100 = 13 / 20

  • Question 11
    1 / -0

    In a plot of ground of area 9600 sq. m, only 8400 sq. m is allowed for construction. What percent is to be left without construction?

    Solution

    Total area of the plot = 9600 sq. m

    Area of plot allowed for construction = 8400 sq. m

    So, area of plot left = (9600 – 8400) sq. m

    = 1200

    Thus, area of plot left in percentage = 1200 / 9600 × 100

    = 75 / 6

    We get,

    = 12.5%

    Therefore, 12.5% of plot is left without construction

  • Question 12
    1 / -0

    The monthly salary of Manisha is Rs 32000. If her salary increases by 16%, find her new monthly salary.

    Solution

    Monthly salary of Manisha = Rs 32000

    Percent increased in her salary = 16%

    Thus, increase in her salary = 16 / 100 × 32000

    = 16 × 320

    = Rs 5120

    Hence, her new salary is = 32000 + 5120

    = Rs 37120

    Therefore, the new salary of Manisha is Rs 37120

  • Question 13
    1 / -0

    Akash  got 96 out of 120 in Science, 63 out of 90 in Maths and 65 out of 80 in History. In which subject , his percentage are the highest . Find his overall percentage

    Solution

    Marks obtained by Akash in Science out of 120 = 96 marks

    So, his percentage in Science = 96 / 120 × 100 = 

    = 80%

    Marks obtained by Akash in Maths out of 90 = 63

    So, his percentage in English = 63 / 90 × 100 = 70%

    Marks scored by Akash in History out of 80 = 65

    So, his percentage in History = 65 / 80 × 100 

    = 81.25 %

    Clearly, it shows that he gets best marks in History

    Now,

    Total marks of all the three subjects = 120 + 90 + 80

    = 290 marks

    Total marks obtained by Akash in all the three subjects = 96 + 63 + 65

    = 224 marks

    His overall percentage = 224 / 290 × 100 = 

    = 77.24% approx

    Hence, the overall percentage of a boy is 77.24%

  • Question 14
    1 / -0

    The population of a small town decreased by 4%. If the original population was 82000, find the population after decrease? 

    Solution

    The original population of the town = 82000

    Percent decrease in population = 4%

    4 % of 82000

    = 4/100 × 82000

    = 4 × 820

    We get,

    = 3280

    Final population = 82000 – 3280

    = 78720

    Therefore, the final population of the town is 78720.

  • Question 15
    1 / -0

    Out of a salary of Rs 37,500, Vivek keep 1 / 5 as savings. Of the remaining money, he spends 40% on food and 25% on house rent. How much do Vivek spend on food and house rent? 

    Solution

    Total salary = Rs 37500

    One-fifth of the salary for saving = 1 / 5 × Rs 37500

    = Rs 7500

    Remaining money = Rs 37500 – Rs 7500

    = Rs 30000

    Amount spend on food = 40%

    = 40 / 100 × 30000

    = 40 × 300

    = 12000

    Amount spend on house rent = 25%

    = 25 / 100 × 30000

    = 25 × 300

    = Rs 7500

    Hence, total amount spend on both food and house rent

    = Rs 12000 + Rs 7500

    = Rs 19500

    Therefore, total amount spend on food and house rent is Rs 19500

  • Question 16
    1 / -0

    Express 840 metres as a percentage of 4.2 kilometres.

    Solution

    840 m as a percentage of 4.2 km

    We know that,

    1 km = 1000 m

    Thus, 4.2 km = 4200 m

    So,

    840 / 4200 × 100 = 840 / 42

    = 20

    We get,

    = 20 %

    Hence, 840 m is 20% of 4.2 km.

  • Question 17
    1 / -0

    Evaluate: 12% of Rs 380 – 9% of Rs 420 + 14% of Rs 400 

    Solution

    (ii) 12% of Rs 380 – 9% of Rs 420 + 14% of Rs 400

    = (12/100 x 380) – (9 / 100 × 420) + (14 / 100 × 400)

    We get,

    =  45.6  –  37.8 + 56

    =  7.8 – 56

    =  63.8

  • Question 18
    1 / -0

    A vessel contains 45 litres of chemical. Due to leakage, 9 litres of chemical is lost. What percent is still present in the vessel?

    Solution

    Total quantity of chemical in the vessel = 45 litres

    Quantity of chemical lost, due to leakage = 9 litres

    Now, quantity of chemical left in the vessel = (44 – 9) = 36 litres

    Therefore, percentage of chemical left in the vessel = 36 / 45 × 100

    = 4 × 20

    We get,

    = 80%

    Thus, 80% of chemical is left in the vessel.

  • Question 19
    1 / -0

    Avnish gets 45 marks out of 60. What percent marks did he get?

    Solution

    Total marks in the exam = 60

    Marks obtained by Avnish = 45

    His percentage = 45/60 X 100

    ⇒ 450/6 

    We get

    = 75 %

    Therefore, the marks obtained by Avnish in percentage is 75%

  • Question 20
    1 / -0

    In an election, there are a total of 240000 voters and three candidates, X , Y. and Z 70% of the voters go to the polls out of which 30% vote for Y and 25% vote for Z. How many votes does X get. 

    Solution

    Total number voters = 240000

    Total number of votes polled = 70%

    = 70 / 100 × 240000

    = 70 × 2400

    = 168000

    So, total percent of votes received by X if Y  gets 30% of polled votes and Z gets 25% of polled votes.

    = 100% – (30% +25%)

    = 45%

    Hence, total number of votes received by X = 45 / 100 × 168000

    = 75600

    We get,

    = 75600

    Therefore, number of votes received by X, out of total votes polled is 75600 votes

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