Percentage Problems in Mathematics Class 10
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Questions and Answers

What is the passing percentage if a student scores 55% and passes with 240 marks?

  • 50% (correct)
  • 35%
  • 45%
  • 39%
  • Calculate the passing percentage if a student scoring 36% fails by 32 marks and scores 48% passes by 64 marks.

  • 40%
  • 50% (correct)
  • 35%
  • 45%
  • Determine the passing percentage if a student scoring 40% fails by 50 marks and scores 50% passes by 40 marks.

  • 45%
  • 42%
  • 50% (correct)
  • 40%
  • If a man borrowed Rs. 30,000 in total, part at 12% and the rest at 10%, and paid back Rs. 36,480 after 2 years, how much was borrowed at 12%?

    <p>11000</p> Signup and view all the answers

    What is the calculated passing percentage for a student who scores 30% and fails by 5 marks but scores 40% and gets 10 more than passing marks?

    <p>50%</p> Signup and view all the answers

    How much profit does a salesman make if he sells a watch and a wall clock, buying them for Rs. 390 and making a profit of 10% and 15% respectively, resulting in Rs. 51.5 total profit?

    <p>30%</p> Signup and view all the answers

    What is the passing percentage if a student scoring 45 marks still fails and when scoring 55 marks passes?

    <p>50%</p> Signup and view all the answers

    If a student scores 48% marks and passes by 64 marks, while at 36% he fails by 32 marks, what could be the passing percentage?

    <p>50%</p> Signup and view all the answers

    What is the total salary of Gaurav and Azam after their respective increases?

    <p>Rs. 59928</p> Signup and view all the answers

    What percentage does Gaurav's salary increase by?

    <p>23%</p> Signup and view all the answers

    What is the original total salary of Gaurav and Azam before the increase?

    <p>Rs. 47520</p> Signup and view all the answers

    If Geeta scored 30% and failed by 50 marks, how many marks are required to pass?

    <p>150</p> Signup and view all the answers

    What was the number of males in the village before the increase?

    <p>5000</p> Signup and view all the answers

    Rajiv scored 20% marks and failed by 11 marks; what are the passing marks?

    <p>33</p> Signup and view all the answers

    What is the increase in population of males if the male population increased by 8%?

    <p>800</p> Signup and view all the answers

    What is the difference in the number of boys and girls based on the given population percentage?

    <p>26</p> Signup and view all the answers

    What is the new male population after a 14.2% increase to the original male population of 9500?

    <p>10935</p> Signup and view all the answers

    What is the total increase in the female population, given that it increased by 17.7%?

    <p>1610</p> Signup and view all the answers

    If 15% of the total male population of 9500 are boys, how many boys are there?

    <p>1425</p> Signup and view all the answers

    How many female population are there if the total female population is increased by 17.7%?

    <p>4500</p> Signup and view all the answers

    What is the present population of the town if the males increased by 5% and females by 9% to reach 6500?

    <p>6000</p> Signup and view all the answers

    How many books were in the fiction category in 2015 if the total number of books increased from 11500 to 12760 over five years?

    <p>6600</p> Signup and view all the answers

    If a student scores 25% of the marks and fails by 210 marks, what are the maximum marks?

    <p>980</p> Signup and view all the answers

    What is the difference between the number of boys and girls if 15% are boys and 18% are girls in a total population of 9500?

    <p>150</p> Signup and view all the answers

    What is the passing percentage if a student scoring 40% fails by 50 marks and scores 50% passes with 40 marks?

    <p>120</p> Signup and view all the answers

    What was the amount borrowed at 12% per annum if a man paid Rs. 36,480 to settle a loan of Rs. 30,000 over 2 years?

    <p>12000</p> Signup and view all the answers

    If Gaurav's salary increases by 23% and Azam's by 30%, leading to a new total salary of Rs. 59928, what was their original total salary?

    <p>47520</p> Signup and view all the answers

    When a student scores 30% marks, he fails by 5 marks. What does this indicate?

    <p>The passing marks are 35.</p> Signup and view all the answers

    If a student scores 40% marks and gets 10 more marks than passing marks, what can be inferred about the passing score?

    <p>The passing score is greater than 40.</p> Signup and view all the answers

    How much in total did a student need to score to pass if the passing percentage is indirectly given through failing margins?

    <p>40 marks</p> Signup and view all the answers

    What is the significance of the Rs. 36,480 figure when referring to the man who borrowed money?

    <p>It is the total settlement amount.</p> Signup and view all the answers

    What does a score increase from 30% to 40% reflect in terms of passing criteria?

    <p>A successful transition to passing status.</p> Signup and view all the answers

    What is the minimum marks required to pass if Anita scored 31% and failed by 16 marks?

    <p>100 marks</p> Signup and view all the answers

    How many fiction books were in the library in 2015 considering a 10% increase from 2010?

    <p>3156</p> Signup and view all the answers

    What is the present population of males if the total population is 5000 and the increases in males and females result in a population of 5540 after 1 year?

    <p>6000</p> Signup and view all the answers

    What is the sum of the interest paid to the two persons if Rs. 16000 was borrowed, paying 6% to one and 10% to another resulting in Rs. 1120 total interest?

    <p>Rs. 2830</p> Signup and view all the answers

    If the population of a village increased by 8% for males and 5% for females, what was the population at present if it becomes 10,272 after one year?

    <p>11000, 5000</p> Signup and view all the answers

    What was the profit earned from selling a watch and a wall clock for Rs. 390 if the profits were 10% and 15% respectively?

    <p>Rs. 51.5</p> Signup and view all the answers

    How much was borrowed at the 10% rate if a total interest of Rs. 1120 was paid on Rs. 16000 borrowed from two lenders?

    <p>Rs. 8000</p> Signup and view all the answers

    What was the difference between the original prices of a watch and a wall clock if the total purchase cost was Rs. 390 and a profit of Rs. 51.5 was made?

    <p>Rs. 40.5</p> Signup and view all the answers

    If a student scores 250 marks yet fails by 38 marks, what is the maximum marks for the examination?

    <p>750</p> Signup and view all the answers

    What passing percentage can be determined if a student scores 25% marks and fails by 210 marks, but passes at 55% marks with 240 marks?

    <p>45%</p> Signup and view all the answers

    If Geeta scored 30% and failed by 50 marks, while Sandeep scored 45% and exceeded the passing marks by 25, what can be inferred about their performance?

    <p>Geeta scored less than Sandeep</p> Signup and view all the answers

    Rajiv scored 20% marks and failed by 11 marks. If he scored 50%, how much does he exceed the passing marks?

    <p>4 marks</p> Signup and view all the answers

    What is the minimum marks required to pass if Anita scored 31% and failed by 16 marks, while Sunita scored 40% and passed by 56 marks?

    <p>120 marks</p> Signup and view all the answers

    If a student scores 36% marks and fails by 32 marks, but passes at a score of 48%, how much is the passing score?

    <p>120 marks</p> Signup and view all the answers

    What is the possibility of passing percentage if a student scoring 64% has a certain mark threshold?

    <p>60%</p> Signup and view all the answers

    If Sandeep received 45% and passed by 25 marks, how much did Geeta likely score given her failure of 50 marks?

    <p>30 marks</p> Signup and view all the answers

    Study Notes

    Percentage Problems

    • Types of animals and biscuits: There are cats and dogs in a room. Each cat eats 7 biscuits and each dog eats 9 biscuits. If 45 animals eat 355 biscuits, find the number of cats and dogs.
    • Zoo animals (heads and legs): A zoo has rabbits and pigeons. There are 280 heads and 820 legs. Determine the number of pigeons.
    • Population increase (males and females): A town's current population is 5000. If males increase by 6% and females by 14%, the population will be 5540 in a year. Find the present number of males.
    • Village population increase: The population of a village is 9600. If males increase by 8% and females by 5%, the population will be 10,272 in a year. Find the current male population.
    • Town population increase: A town's current population is 9800. With an 8% increase in males and a 5% increase in females, the population becomes 10458. What was the number of males initially?
    • Town population (males and females): A town's population is 6000. If males increase by 5% and females by 9%, the population becomes 6500. Find the present number of males and females.
    • City population (males and females): The total population of a city is 9500. Male population increases by 14.2% and female population increases by 17.7%. The new total population is 11003. If 15% of the total male population is boys and 18% of the total female population is girls, find the difference between the number of boys and girls.

    Percentage in Examinations

    • Passing marks: Passing marks are 40%. A student gets 250 marks but fails by 38 marks. What is the maximum mark?
    • Passing percentage: A student scores 25% marks and fails by 210. If he scores 55% marks, he passes with 240 marks. Find the passing percentage.
    • Passing percentage: A student gets 36% marks and fails by 32 marks. If the student gets 48% marks, they pass by 64 marks. Find the passing percentage.
    • Passing marks: A student gets 40% marks and fails by 50 marks. If they score 50%, they pass with 40 marks. Find the passing marks and passing percentage.
    • Examination scores: A student gets 30% and fails by 50 marks. Another student, scoring 45%, gets 25 marks more than the passing marks. What score did Vimal get by scoring 64%?
    • Examination scores: Rajiv got 20% and failed by 11 marks. If he scored 50%, he gets 4 marks more than the passing marks. What is the passing marks?
    • Examination scores: Anita scored 31% and failed by 16. Sunita scored 40% and scored 56 marks more than the passing marks. Determine the minimum passing marks.

    Library and Loan Problems

    • Fiction and Non-Fiction Books: In 2010, a library had 11500 books (fiction and non-fiction). In 2015, it had 12760. Fiction increased by 10%, and non-fiction by 12%. How many fiction books were there in 2015?

    • Loan Interest Rates: A person borrowed Rs. 16000 from two sources at 6% and 10% per annum. In one year, he paid Rs. 1120 interest. How much was borrowed at each rate?

    • Salary Increase: Gaurav and Azam have a total salary of Rs. 47520. If Gaurav's salary rises by 23% and Azam's by 30%, the total salary becomes Rs. 59928. Calculate the difference in their salaries.

    Sales and Purchase Problems

    • Watch and Clock Purchase: A salesman purchased a watch and a clock for Rs. 390. He sold the watch with a 10% profit and the clock with a 15% profit, earning a total profit of Rs. 51.5. Find the difference between the original prices of the watch and clock.

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    Description

    Test your skills in solving percentage problems with this quiz designed for 10th-grade mathematics. You'll tackle real-world scenarios involving populations, animals, and their respective increases. Can you find the number of cats, dogs, and the male populations based on the given percentages?

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