Q. A shopkeeper sells a shirt for $30, making a profit of 20%. What was the cost price of the shirt?
A.
$25
B.
$20
C.
$24
D.
$22
Solution
Let the cost price be x. The selling price is given by x + 0.2x = 1.2x. Setting this equal to $30 gives us 1.2x = 30, so x = 30/1.2 = 25. Thus, the cost price of the shirt is $25.
Q. A shopkeeper sells a shirt for $30, which is a 20% profit on the cost price. What is the cost price of the shirt?
A.
$24
B.
$25
C.
$26
D.
$27
Solution
Let the cost price be x. The selling price is 30, which is 120% of the cost price. Therefore, 1.2x = 30. Solving for x gives x = 30/1.2 = 25. Thus, the cost price is $25.
Q. A solution contains 20% sugar. If 5 liters of this solution is diluted with 10 liters of water, what is the new percentage of sugar in the solution?
A.
10%
B.
15%
C.
20%
D.
25%
Solution
Initial sugar = 20% of 5 liters = 1 liter. Total volume after dilution = 5 + 10 = 15 liters. New percentage = (1/15) * 100 = 6.67%.
Q. A solution contains 25% sugar. If 10 liters of water is added to 30 liters of this solution, what is the new concentration of sugar in the solution?
A.
15%
B.
20%
C.
25%
D.
30%
Solution
Initial sugar = 0.25 * 30 = 7.5 liters. New total volume = 30 + 10 = 40 liters. New concentration = (7.5/40) * 100 = 18.75%.
Q. A solution contains 25% sugar. If 8 liters of this solution is diluted with 4 liters of water, what is the new concentration of sugar in the solution?
Q. A solution is made by mixing 3 parts of solution A and 5 parts of solution B. If solution A contains 20% salt and solution B contains 10% salt, what is the percentage of salt in the final mixture?
Q. A solution is made by mixing 4 liters of a 20% acid solution with 6 liters of a 30% acid solution. What is the concentration of acid in the final mixture?
Q. A solution is made by mixing 5 liters of a 10% acid solution with 15 liters of a 20% acid solution. What is the concentration of acid in the final mixture?
Q. A store increases the price of an item by 25% and then offers a discount of 20% on the new price. What is the final price if the original price was $80?
A.
$70
B.
$75
C.
$80
D.
$85
Solution
New price after increase = 80 * 1.25 = $100. Discount = 20% of 100 = $20. Final price = 100 - 20 = $80.
Q. A store offers a 10% discount on a product that costs $200. If the store then applies an additional 5% discount on the already discounted price, what is the final selling price?
A.
$180
B.
$190
C.
$185
D.
$175
Solution
First discount: 200 - 10% of 200 = 200 - 20 = 180. Second discount: 180 - 5% of 180 = 180 - 9 = 171.
Q. A store offers a 25% discount on a jacket that is originally priced at $80. If the store then increases the price by 10% after the discount, what is the final price of the jacket?
A.
$70
B.
$75
C.
$78
D.
$80
Solution
Discounted price = $80 - (25% of $80) = $80 - $20 = $60. After a 10% increase, final price = $60 + (10% of $60) = $60 + $6 = $66.
Q. A store offers a 30% discount on a jacket originally priced at $200. If the store then increases the price by 10% after the discount, what is the final price?
Q. A store offers a 30% discount on a jacket originally priced at $200. If the store then increases the price by 10% after the discount, what is the final price of the jacket?
Q. A store offers a 30% discount on a jacket originally priced at $300. If an additional 10% discount is applied on the discounted price, what is the final price?
Q. A store offers a 30% discount on a jacket that is originally priced at $200. If the store then applies an additional 10% discount on the already discounted price, what is the final selling price? (2023)
A.
$140
B.
$150
C.
$160
D.
$170
Solution
First discount: $200 - (30% of $200) = $200 - $60 = $140. Second discount: $140 - (10% of $140) = $140 - $14 = $126.
Arithmetic is a fundamental branch of mathematics that plays a crucial role in academic success. Mastering arithmetic concepts is essential for students preparing for school exams and competitive tests. Practicing MCQs and objective questions not only enhances understanding but also boosts confidence, leading to better scores in exams. Engaging with practice questions helps identify important questions and reinforces key concepts necessary for effective exam preparation.
What You Will Practise Here
Basic operations: Addition, subtraction, multiplication, and division
Fractions and decimals: Conversions and calculations
Percentage calculations: Understanding and applying percentage concepts
Ratio and proportion: Solving problems involving ratios and proportions
Average: Calculating mean, median, and mode
Word problems: Translating real-life situations into mathematical expressions
Time and work: Understanding concepts related to time, speed, and efficiency
Exam Relevance
Arithmetic is a key topic in various examinations, including CBSE, State Boards, NEET, and JEE. Students can expect to encounter arithmetic questions in multiple-choice formats, often focusing on real-world applications and problem-solving. Common question patterns include direct calculations, word problems, and application of formulas, making it essential for students to be well-versed in this area to excel in their exams.
Common Mistakes Students Make
Misunderstanding the order of operations, leading to incorrect answers
Confusing fractions and decimals during conversions
Overlooking key details in word problems, resulting in wrong interpretations
Neglecting to simplify expressions before solving
Failing to apply percentage formulas correctly in practical scenarios
FAQs
Question: What are some effective strategies for solving arithmetic MCQs? Answer: Focus on understanding the concepts, practice regularly, and learn to identify keywords in questions that guide you to the correct approach.
Question: How can I improve my speed in solving arithmetic problems? Answer: Regular practice with timed quizzes and mock tests can significantly enhance your speed and accuracy in solving arithmetic problems.
Start your journey towards mastering arithmetic today! Solve practice MCQs and test your understanding to ensure you are well-prepared for your exams. Remember, consistent practice is the key to success!
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